02341_02431_03241_20341_20431_23041_30241_32041
Counting sequence:
1, 1, 2, 6, 24, 112, 570, 3058, 17002, 97020, 564796, 3340518, 20015220, 121224654, 740946160, 4564407832, 28309656448, 176633015664, 1107886916914, 6981590203840, 44181163905146, 280649229246294, 1788874996938738, 11438050137161868, 73343823860666178, 471533706899675834, 3038853614680030282, 19627957938740419714, 127039263218948395886, 823825135080851694314, 5351918965319363554704, 34826534075096737241328, 226981748869145382844548, 1481527064168739491839458, 9683402918863975628377000, 63374027482445147070424032, 415267165215545879123147320, 2724253897274345533816988814, 17891400743818818267276789246, 117623218553337839374491239476, 774053175259410061683581955706, 5098663247299010643441017313640, 33614756361888341961073684474796, 221806065509891291960834294275248, 1464770719116019753807310839264324, 9680611317266401735011177290531730, 64026238567828253718825368359144310, 423761399478651669084025265148775084, 2806596677768621535354932883688318602, 18600372341920800302844464195353085268, 123348774643276742387395275662312777988, 818481456150137700253319600702715638298, 5434173665233378762029894846778135463384, 36099342212772623922013527662316141168130, 239936957417129992137991500908269359032096, 1595579933025260702930465571789700970541398, 10615867281240714950291350198520379828443684, 70664331836069652559949586629890741385747212, 470593213130226502479533518616553066906990988, 3135341306971022150756023049260836566954208296, 20898313176960010738827745173284797368167240048, 139353760322227720595828193368703284136511538664, 929611119213436021782680208336283265970265545520, 6203738413273313239372003744503196613227186400546, 41416162009057429853223155688008999988397389181516, 276595644029450326407776831700557842573526243961588, 1847885563206251171752879080406667847545638751431946, 12349643409701084636593407144518774241126350341282970, 82561758938341664668254870261593604747756806363505954, 552133869716989966343034770889139283763682637572359522, 3693573254136488497366403062756746009452606167321901028, 24716219031327647084551471295749602857363160309570162566, 165442324249230265083817849144172586975409941021289966084, 1107737636929286810327199212585367063757589343133774895422, 7419070198020127120958123902572115198268387283685646731398, 49702821653277056842813463680859660079781879857857169433110, 333064580903558950582832893519236639681913900455004629662286, 2232485618515694622432473675216813868919757688928247366604588, 14967828174700664648955808577322809656445974532042149309682454, 100377415016095403681215284043614014782372014387062776216961470, 673313976427601931582674495750455581193670749526337939739497002, 4517530162983419954825359641046502202292519567858301619371647302, 30316830979265654881977634641895659234249462665980286635718517994, 203499546540500882533417930430504134320958724845195288449960066346, 1366273576578435347921602284047967823373611303750717555306443907042, 9174961141871054806496008337200478022612323136662625650953563409678, 61625574103286051133577940710853060213120814847699543977468460304900, 414005220410593171426797497030909682884424342818203710865908517547654, 2781869398362770494907172074487816027246170815189138122131745751483180, 18696133114579989531981213842210133453861256627520872216332193555797478, 125675059657186121871699586288280355093399111394847273612419577669211990, 844941895216911940891093829167952527085581715852299840658843385816558022, 5681764988735782652599935040751283411301452394025846479814931220180424622, 38213486548204414657803346549846427977297460194564103758753621252685917116, 257054606245520570163216826288848650247754957017451720313737002013580600898, 1729449365983206403113765867714172458371351244966556119986354778231289290794, 11637575251101950449998225477284094550370598212321622883760263806044602275358, 78322735352066405424060389282660018987478934827543951045390249876223451176366, 527208536352156106106437940938829735997012045584474556729942536616328143318418, 3549317558167518059604530734152516512291589376931196541999299471781946355898920, 23898671209944703290000465359440935163520532226269913754271274715615086891098878
Implicit equation for the generating function in Maple syntax:
(2*x-1)*F(x)^6+(-8*x^3+4*x^2-11*x+7)*F(x)^5+(8*x^5-4*x^4+34*x^3-11*x^2+20*x-19)*F(x)^4+(-12*x^5+12*x^4-57*x^3-5*x^2-7*x+25)*F(x)^3+(-16*x^4+68*x^3+28*x^2-16*x-16)*F(x)^2+(-44*x^3-20*x^2+16*x+4)*F(x)+4*x*(x+1)*(2*x-1) = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) F \! \left(x \right)^{6}+\left(-8 x^{3}+4 x^{2}-11 x +7\right) F \! \left(x \right)^{5}+\left(8 x^{5}-4 x^{4}+34 x^{3}-11 x^{2}+20 x -19\right) F \! \left(x \right)^{4}+\left(-12 x^{5}+12 x^{4}-57 x^{3}-5 x^{2}-7 x +25\right) F \! \left(x \right)^{3}+\left(-16 x^{4}+68 x^{3}+28 x^{2}-16 x -16\right) F \! \left(x \right)^{2}+\left(-44 x^{3}-20 x^{2}+16 x +4\right) F \! \left(x \right)+4 x \left(x +1\right) \left(2 x -1\right) = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 112
a(6) = 570
a(7) = 3058
a(8) = 17002
a(9) = 97020
a(10) = 564796
a(11) = 3340518
a(12) = 20015220
a(13) = 121224654
a(14) = 740946160
a(15) = 4564407832
a(16) = 28309656448
a(17) = 176633015664
a(18) = 1107886916914
a(19) = 6981590203840
a(20) = 44181163905146
a(21) = 280649229246294
a(22) = 1788874996938738
a(23) = 11438050137161868
a(24) = 73343823860666178
a(25) = 471533706899675834
a(26) = 3038853614680030282
a(27) = 19627957938740419714
a(28) = 127039263218948395886
a(29) = 823825135080851694314
a(30) = 5351918965319363554704
a(31) = 34826534075096737241328
a(32) = 226981748869145382844548
a(33) = 1481527064168739491839458
a(34) = 9683402918863975628377000
a(35) = 63374027482445147070424032
a(36) = 415267165215545879123147320
a(37) = 2724253897274345533816988814
a(38) = 17891400743818818267276789246
a(39) = 117623218553337839374491239476
a(40) = 774053175259410061683581955706
a(41) = 5098663247299010643441017313640
a(42) = 33614756361888341961073684474796
a(43) = 221806065509891291960834294275248
a(44) = 1464770719116019753807310839264324
a(45) = 9680611317266401735011177290531730
a(46) = 64026238567828253718825368359144310
a(47) = 423761399478651669084025265148775084
a(48) = 2806596677768621535354932883688318602
a(49) = 18600372341920800302844464195353085268
a(50) = 123348774643276742387395275662312777988
a(51) = 818481456150137700253319600702715638298
a(52) = 5434173665233378762029894846778135463384
a(53) = 36099342212772623922013527662316141168130
a(54) = 239936957417129992137991500908269359032096
a(55) = 1595579933025260702930465571789700970541398
a(56) = 10615867281240714950291350198520379828443684
a(57) = 70664331836069652559949586629890741385747212
a(58) = 470593213130226502479533518616553066906990988
a(59) = 3135341306971022150756023049260836566954208296
a(60) = 20898313176960010738827745173284797368167240048
a(61) = 139353760322227720595828193368703284136511538664
a(62) = 929611119213436021782680208336283265970265545520
a(63) = 6203738413273313239372003744503196613227186400546
a(64) = 41416162009057429853223155688008999988397389181516
a(65) = 276595644029450326407776831700557842573526243961588
a(66) = 1847885563206251171752879080406667847545638751431946
a(67) = 12349643409701084636593407144518774241126350341282970
a(68) = 82561758938341664668254870261593604747756806363505954
a(69) = 552133869716989966343034770889139283763682637572359522
a(70) = 3693573254136488497366403062756746009452606167321901028
a(71) = 24716219031327647084551471295749602857363160309570162566
a(72) = 165442324249230265083817849144172586975409941021289966084
a(73) = 1107737636929286810327199212585367063757589343133774895422
a(n+74) = 27/256*(35760470293793738399143745057*n^5+3723312071192977920456692832415*n^4+155146236028634107896361435925545*n^3+3234479813194245984771311849564345*n^2+33741947949287615591330848732968438*n+140920566777667255808288836366754760)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+22)-27/256*(5655139432266181365050226799*n^5+601718492477200402962237363005*n^4+25714351958854881866091521723715*n^3+551248387424451167402292104639575*n^2+5922300917641811355620275368854426*n+25481916370239111810459145258656360)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+23)-81/128*(4371130578651527608079083667*n^5+403515343060789594956696419105*n^4+14893056958433234152870454598215*n^3+274687389075574132160859014943255*n^2+2531496442980900504426834038669238*n+9324627209053639826974786828464120)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+20)-27/128*(1299325522237765103292470473*n^5+153292057621820136162058952495*n^4+7044110405010116507160275695625*n^3+159069260660113304529466075788265*n^2+1775614608149455194099816082041102*n+7868336807556975775390214493904920)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+21)+47606229688320*n*(164748337*n^4+1501844567*n^3+5298878517*n^2+7682753362*n+3712830215)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+2)+1/256*(107160812079206688701882214376*n^5+19619093092183955515664225800280*n^4+1435885197652965088921767414927245*n^3+52512736044791763853022341050333550*n^2+959643076333887286644024577578172509*n+7010366188627064080205343735843425220)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+38)-1/1024*(32650811459532707155611043693*n^5+5476891595652562363129274432735*n^4+362629882192328660107047480480785*n^3+11804809653582240104525147528484145*n^2+187957489744567897000942956143391882*n+1161494186865138168196995822906816120)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+39)-1/256*(43458143739135618561667611643*n^5+8496276857043683961947015042615*n^4+663991478006247519245751856816100*n^3+25929058517944900108134203331275785*n^2+505946885824466346066691942511118087*n+3946481929532285231399361975985222950)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+40)+3/1024*(56700313723128059710113795527*n^5+11241051880692924547712841309125*n^4+891203143891363204101541081036515*n^3+35318724599102457842244000659066355*n^2+699668074290098868295101668118600758*n+5542783948087784853117146197416689880)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+41)+1/1024*(17975479133902570908002812219*n^5+3531562809265568748847336426295*n^4+276662258752286891808824695871615*n^3+10799397345102867426312904026650185*n^2+209966877859318573140022815236860566*n+1625912871384354664020384817404341280)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+43)+1/16*(982*n^2+142415*n+5162763)/(n+74)/(2*n+147)*a(n+73)-3061100160*(220032002173393*n^5+6220296234552005*n^4+72359357555792981*n^3+428799790047452091*n^2+1279186131398762178*n+1520033881329259000)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+6)+170061120*(3083484076494659*n^5+255910999916545213*n^4+5481290158255718779*n^3+49836055257985316891*n^2+206710250037454440690*n+322523338069269363960)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+7)+28343520*(42477796590490723*n^5+2933804198035808081*n^4+66506646505260125307*n^3+680705262886243801735*n^2+3261669313167271918850*n+5958365118828619911240)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+8)+4723920*(1429552800342211891*n^5+36513804313662185579*n^4+190105519168236845303*n^3-2094041266853613795803*n^2-24439087205960619137370*n-66911542316427155657472)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+9)+787320*(28955580160718364767*n^5+1049485900866307170907*n^4+13414750596027478341523*n^3+62874002784767299396805*n^2-16324534497137883418050*n-636207681696505510894704)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+10)-78732*(351837519158773485023*n^5+14886646163826475264885*n^4+235947348254777173250135*n^3+1675414971830415689483795*n^2+4687809914248271029839362*n+1588043755202931317264400)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+11)-4374*(35304797256135605190341*n^5+1797295549938969857061115*n^4+35951838647367574989854125*n^3+351090323540730785254605245*n^2+1658431594105631516770459014*n+2984452350408338081277954240)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+12)+729*(41427068380592059164841*n^5+1956685488109013113678925*n^4+33098479239261245747299445*n^3+218686161856436493821936035*n^2+181710598801454442007788954*n-2385863393159358429735070440)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+13)+10935/2*(92508382227754139018501*n^5+5688868648531551923259525*n^4+138998803322247765837775809*n^3+1683869141433574776434123867*n^2+10092171339864116958825249426*n+23872925290160322598009915656)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+14)+405/4*(635168994765365790733525*n^5+52431692778390099633996035*n^4+1703894741784777587891950781*n^3+27345091117115567915141451781*n^2+217214357248810980595420135566*n+684288065548828919748190784184)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+15)-243/8*(36603819664344429021181571*n^5+2611235948265791194550035185*n^4+74276484392619012843803713015*n^3+1052274963059358435085566020995*n^2+7418093156040290311488034325594*n+20794996875129487747363917776280)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+16)+27/32*(2240683261091194789576605989*n^5+182280153004586161181998548145*n^4+5922262713268328060377327501585*n^3+96023077631861417589245306995115*n^2+776627087735110408119984965435766*n+2505309993753521547750617578824000)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+18)-81/16*(53522569106211065570874467*n^5+4636007725491941713677104395*n^4+159790500388690880546384201495*n^3+2743709851816001075103382754105*n^2+23495309230736808019471632209138*n+80334566341192147350531877106160)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+17)-3/512*(801556854028467394171913165917*n^5+92384287596150665728546625303735*n^4+4260992956202609435702752004339285*n^3+98322191966431671266877734909591305*n^2+1135234426817193416093840578372531878*n+5247628997968585680632057477046569400)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+24)+9/512*(141333028271381937993811773261*n^5+17201843315050550333597347022165*n^4+839293098779568755406793824080865*n^3+20517329245593818915199488299856195*n^2+251270235648482678960697755662144994*n+1233117267037782310761558487660980120)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+25)+3/512*(786804455430625864856576135971*n^5+98225734592572928935357306184345*n^4+4901567174985675639595388400872875*n^3+122224152503320760210407311451875055*n^2+1523149324981873934118706864116963154*n+7589823981533533842727220008623572280)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+26)+27/64*(1030188243963445072562898173*n^5+101278163790102137014117235155*n^4+3946663619081497458146431008685*n^3+76414102134371753034976910125025*n^2+736585966713592575844144315586322*n+2832123877448997906494386411373640)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+19)+38329679771253964800*n*(n-1)*(n-2)*(3*n+2)*(3*n+4)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n)+15/512*(210160023586093082689203835683*n^5+29281331257032527318993210792219*n^4+1631606230581321209106486618327243*n^3+45452283541221574920280171719907721*n^2+633044713213760081785682437023918998*n+3526666118354278204223570857359008208)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+29)-3/1024*(421659680385280391421005188109*n^5+62333342855983802148549932852475*n^4+3692023833546944339377354302365845*n^3+109518648430486717573185357894862365*n^2+1626926885297515047253183474964164926*n+9682000732135574740348456772607181320)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+30)-5/512*(444947888099083117347087662336*n^5+65599192907249650958534488229971*n^4+3865705152601198865318577621951382*n^3+113817741560313362541886441772779133*n^2+1674337830054829926745498661500852146*n+9845091953398618236945027964740331656)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+31)+1/1024*(3950947268585902088537549783681*n^5+600060071952837038416058762154895*n^4+36453635302543070569511692940728345*n^3+1107315092283070784876152409883315665*n^2+16819352866229369368883599677710929494*n+102204550744546047204730860841050215280)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+32)-1/512*(43037522547951009082203621502*n^5+8646816258135124465163111000405*n^4+694765101696833570254203281115200*n^3+27906472102916854513508181011301655*n^2+560350202363627436913545379414928958*n+4499811798474721514627296489251510360)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+42)+3/1024*(2271059498703014652251471961*n^5+508898203580560867280037103275*n^4+45585122687329962437186677493065*n^3+2040368776867357099850535952653525*n^2+45633170365279219888487110066582934*n+407963861550971484357770587179864840)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+46)-3/512*(377806441779685009751906776*n^5+84910258614361698748150369595*n^4+7624149366766922048209901397390*n^3+341852756744886264168097712788525*n^2+7653599103224141275589687332984394*n+68441522315009396116284282756615960)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+47)+1/512*(138278281029988559737962038*n^5+28746203638175522937118539715*n^4+2346140120782993879563079269040*n^3+93369905748157704821910405173345*n^2+1793203464910018381297572090767142*n+13050878088802377619755367224186960)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+48)+9997308234547200*n*(n-1)*(276682*n^3+1592358*n^2+2675456*n+1351899)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+1)+3/256*(31914469936089198408526*n^5+9798730011794111250622125*n^4+1182733553423992116676324915*n^3+70419659204965902187935583465*n^2+2073705660850588133942740348569*n+24209194302429979825107495015780)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+54)-3/1024*(154403578919895636101101*n^5+43180549132060871242494135*n^4+4826090149565310523815289625*n^3+269468906069352634170805548345*n^2+7517019859593855139343327278914*n+83813296592280302227953010287960)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+55)+5/512*(6821273583098406565576076*n^5+1710036966647838416315117905*n^4+171408448689744370118373555286*n^3+8587264580177839694803701174263*n^2+215016830305948232171544184582542*n+2152653126828791673510913270745448)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+51)-1/1024*(19164170758436633554785671*n^5+4818981810582973451484217165*n^4+484332314676500515879625903095*n^3+24319204900144365571237276848635*n^2+610037789073131610100154889499554*n+6115583533643359307560454853048120)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+52)+5/512*(292684507181452659611983*n^5+71812452860700066655653374*n^4+7013885283948937412887605089*n^3+340618694563393837833182588086*n^2+8217353507632973680902141566460*n+78692568042115104541982889588144)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+53)+1/512*(97250320645945198669885672*n^5+24850322936821611102930369545*n^4+2530654304876496151732602110990*n^3+128432925490406855948287337036995*n^2+3249439673019298649909981045768598*n+32797680401967312659659156077778080)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+49)-1/1024*(160151550483040494580407253*n^5+40005023251982933875458746795*n^4+3994708444375861283175801800405*n^3+199325125125632756960677786601125*n^2+4969972785161893891459139085218742*n+49540346163618593152076179389098640)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+50)+3967185807360*(4624338521*n^5+49528826161*n^4+262535757501*n^3+758139204061*n^2+1031198154460*n+490717058260)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+3)-73466403840*(528436222847*n^5+16807374219163*n^4+162563135785645*n^3+684684137362013*n^2+1314269390748288*n+938246553651060)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+4)-6122200320*(76859892886571*n^5+2209743835478035*n^4+24516527458053735*n^3+130618910861826941*n^2+333808693098015622*n+327523196147431800)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+5)+3/1024*(3362774693411588206443413851*n^5+761076476973604212170386334185*n^4+68617861337010408251268179541735*n^3+3081892922617302094563160238597455*n^2+68979940196856583135617846933417894*n+615704991414473056818138841115577600)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+44)-1/1024*(12371160549397587838802228129*n^5+2750806201364243320041844114915*n^4+244453546783768357337794940872345*n^3+10852645813695815655512962739977085*n^2+240703984381559679078519998862200166*n+2133703354353159092855096229061857840)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+45)+1/512*(83456173136315621774470157429*n^5+15424069120160695811007465359785*n^4+1103923613685761770767490864378825*n^3+38554293209970104773972090050247655*n^2+660343836164158866525694037196135306*n+4451793809290952082294401827470819720)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+33)-1/1024*(2444757122469580022392018669987*n^5+397933881739632725925974230305725*n^4+25886059008196819549996933963606475*n^3+841216249404751424343400123588331635*n^2+13656287547691131798949430496744034338*n+88598668432369517245079098605756974880)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+34)+1/64*(72278*n^4+19497319*n^3+1966299502*n^2+87832952861*n+1465623326280)/(2*n+145)/(n+74)/(n+73)/(2*n+147)*a(n+72)-1/128*(622864787300745772699570589579*n^5+81828658624822474125153497352280*n^4+4301959949182925626090775503268260*n^3+113138517241122141735838281447835055*n^2+1488534823345478445774045378603110196*n+7838272143509801325000338247607872360)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+27)-1/1024*(2608923675906521184772727332043*n^5+343592048447632100548406204583985*n^4+18055146636340492285787907878497915*n^3+473140007621294108199267562538042375*n^2+6182233967087156797850000323469282442*n+32216972939158600442096141908427040600)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+28)+1/256*(424955339670930168926136013193*n^5+70123552422201061879525138426390*n^4+4625805110547840989063430174894145*n^3+152485896865480371717522572789614610*n^2+2511877266629727741516648648854078802*n+16542169300278634730295456893176772400)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+35)-1/1024*(113340476487510843468918219043*n^5+14573650020324376750669302416225*n^4+668318633029330845796190791211555*n^3+11662567389353045383068448994695495*n^2+9272364941736290378783833339215882*n-1224686816099384606197066213224410520)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+36)-1/512*(301341785315965934240330877151*n^5+54778148959477941920276064578960*n^4+3976877574109704629271145110236285*n^3+144141892635465490688296595845194820*n^2+2608344666496546639860664350383576184*n+18852445079582079424015739545030197000)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+37)+15/256*(223499912*n^5+71611522195*n^4+9141166703926*n^3+580766845057953*n^2+18352166135234726*n+230557877008930344)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+69)+1/128*(246020506*n^5+85502053115*n^4+11884419730700*n^3+825820601129965*n^2+28687968317104374*n+398575173440604060)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+70)-5/256*(6030478*n^5+2099718953*n^4+292389186908*n^3+20354504403907*n^2+708365083154226*n+9859147664201064)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+71)-1/512*(108819656650739*n^5+25490218051719160*n^4+2081179572136872145*n^3+58435750387256398460*n^2-493772534041134107544*n-36196216443543561747480)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+65)-3/256*(15051711748827*n^5+4940404255570550*n^4+648351263634282205*n^3+42524657335344758810*n^2+1393974858238265499748*n+18270210646755799552380)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+66)+5/512*(2015863959748*n^5+662469095532023*n^4+87062222949861662*n^3+5719537908824104225*n^2+187826298530503530318*n+2466625331455899144624)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+67)-1/512*(533806014371*n^5+176485120436455*n^4+23331228256721275*n^3+1541616252851008865*n^2+50911756086781669794*n+672274388568385488600)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+68)+1/128*(902132867670108587*n^5+272008140133422381205*n^4+32801047303872014449900*n^3+1977413784996364922169200*n^2+59595170373644623585352988*n+718319840911175396062286820)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+62)-1/256*(153220531695441338*n^5+46717501917317867935*n^4+5696256646125279875530*n^3+347180343519099236366885*n^2+10577296436108478702998952*n+128865446692141358476530000)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+63)+5/1024*(6766092278633731*n^5+2073321017620835255*n^4+253964410891558962383*n^3+15543766614902455639825*n^2+475341263938466250700182*n+5810301079672015077077808)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+64)+5/512*(47432855961716409161*n^5+13932220968965719534093*n^4+1636806023220434917955959*n^3+96143507664755177782239899*n^2+2823505891087272641272995828*n+33166031920014257777071838340)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+60)-1/1024*(65047686710612029889*n^5+19363508741346631741375*n^4+2305448887868877864019465*n^3+137232251303964931245675305*n^2+4084003727637340130386860846*n+48611086642217494047452996160)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+61)-3/1024*(954522057077003017029*n^5+276613317635548385352485*n^4+32063193488999219896101985*n^3+1858219781485716021567128755*n^2+53844831267161807826286103186*n+624076186246550839280392783440)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+59)-1/1024*(59736134922155820654427*n^5+16878149137136348973034925*n^4+1907432283591784766217673055*n^3+107775443696945321533206951355*n^2+3044644862735980084995370734198*n+34402446239632620467050983902040)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+57)+1/512*(7199743888830282172387*n^5+2059161527079980091518450*n^4+235566458165711579161717085*n^3+13473983659320074588494689010*n^2+385334545692044053789167878748*n+4407872850598659325940379696480)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+58)+1/512*(98631541872286233174091*n^5+27602354963552750979576875*n^4+3089244302634413258795044625*n^3+172840438178622430035817151725*n^2+4834221567637789270630047578064*n+54073795910659713683229000781620)/(2*n+145)/(n+74)/(n+73)/(n+72)/(2*n+147)*a(n+56), n >= 74
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 112
a(6) = 570
a(7) = 3058
a(8) = 17002
a(9) = 97020
a(10) = 564796
a(11) = 3340518
a(12) = 20015220
a(13) = 121224654
a(14) = 740946160
a(15) = 4564407832
a(16) = 28309656448
a(17) = 176633015664
a(18) = 1107886916914
a(19) = 6981590203840
a(20) = 44181163905146
a(21) = 280649229246294
a(22) = 1788874996938738
a(23) = 11438050137161868
a(24) = 73343823860666178
a(25) = 471533706899675834
a(26) = 3038853614680030282
a(27) = 19627957938740419714
a(28) = 127039263218948395886
a(29) = 823825135080851694314
a(30) = 5351918965319363554704
a(31) = 34826534075096737241328
a(32) = 226981748869145382844548
a(33) = 1481527064168739491839458
a(34) = 9683402918863975628377000
a(35) = 63374027482445147070424032
a(36) = 415267165215545879123147320
a(37) = 2724253897274345533816988814
a(38) = 17891400743818818267276789246
a(39) = 117623218553337839374491239476
a(40) = 774053175259410061683581955706
a(41) = 5098663247299010643441017313640
a(42) = 33614756361888341961073684474796
a(43) = 221806065509891291960834294275248
a(44) = 1464770719116019753807310839264324
a(45) = 9680611317266401735011177290531730
a(46) = 64026238567828253718825368359144310
a(47) = 423761399478651669084025265148775084
a(48) = 2806596677768621535354932883688318602
a(49) = 18600372341920800302844464195353085268
a(50) = 123348774643276742387395275662312777988
a(51) = 818481456150137700253319600702715638298
a(52) = 5434173665233378762029894846778135463384
a(53) = 36099342212772623922013527662316141168130
a(54) = 239936957417129992137991500908269359032096
a(55) = 1595579933025260702930465571789700970541398
a(56) = 10615867281240714950291350198520379828443684
a(57) = 70664331836069652559949586629890741385747212
a(58) = 470593213130226502479533518616553066906990988
a(59) = 3135341306971022150756023049260836566954208296
a(60) = 20898313176960010738827745173284797368167240048
a(61) = 139353760322227720595828193368703284136511538664
a(62) = 929611119213436021782680208336283265970265545520
a(63) = 6203738413273313239372003744503196613227186400546
a(64) = 41416162009057429853223155688008999988397389181516
a(65) = 276595644029450326407776831700557842573526243961588
a(66) = 1847885563206251171752879080406667847545638751431946
a(67) = 12349643409701084636593407144518774241126350341282970
a(68) = 82561758938341664668254870261593604747756806363505954
a(69) = 552133869716989966343034770889139283763682637572359522
a(70) = 3693573254136488497366403062756746009452606167321901028
a(71) = 24716219031327647084551471295749602857363160309570162566
a(72) = 165442324249230265083817849144172586975409941021289966084
a(73) = 1107737636929286810327199212585367063757589343133774895422
a{\left(n + 74 \right)} = \frac{38329679771253964800 n \left(n - 2\right) \left(n - 1\right) \left(3 n + 2\right) \left(3 n + 4\right) a{\left(n \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{9997308234547200 n \left(n - 1\right) \left(276682 n^{3} + 1592358 n^{2} + 2675456 n + 1351899\right) a{\left(n + 1 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{47606229688320 n \left(164748337 n^{4} + 1501844567 n^{3} + 5298878517 n^{2} + 7682753362 n + 3712830215\right) a{\left(n + 2 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(982 n^{2} + 142415 n + 5162763\right) a{\left(n + 73 \right)}}{16 \left(n + 74\right) \left(2 n + 147\right)} + \frac{\left(72278 n^{4} + 19497319 n^{3} + 1966299502 n^{2} + 87832952861 n + 1465623326280\right) a{\left(n + 72 \right)}}{64 \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{5 \left(6030478 n^{5} + 2099718953 n^{4} + 292389186908 n^{3} + 20354504403907 n^{2} + 708365083154226 n + 9859147664201064\right) a{\left(n + 71 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{15 \left(223499912 n^{5} + 71611522195 n^{4} + 9141166703926 n^{3} + 580766845057953 n^{2} + 18352166135234726 n + 230557877008930344\right) a{\left(n + 69 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(246020506 n^{5} + 85502053115 n^{4} + 11884419730700 n^{3} + 825820601129965 n^{2} + 28687968317104374 n + 398575173440604060\right) a{\left(n + 70 \right)}}{128 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3967185807360 \left(4624338521 n^{5} + 49528826161 n^{4} + 262535757501 n^{3} + 758139204061 n^{2} + 1031198154460 n + 490717058260\right) a{\left(n + 3 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{73466403840 \left(528436222847 n^{5} + 16807374219163 n^{4} + 162563135785645 n^{3} + 684684137362013 n^{2} + 1314269390748288 n + 938246553651060\right) a{\left(n + 4 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(533806014371 n^{5} + 176485120436455 n^{4} + 23331228256721275 n^{3} + 1541616252851008865 n^{2} + 50911756086781669794 n + 672274388568385488600\right) a{\left(n + 68 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{5 \left(2015863959748 n^{5} + 662469095532023 n^{4} + 87062222949861662 n^{3} + 5719537908824104225 n^{2} + 187826298530503530318 n + 2466625331455899144624\right) a{\left(n + 67 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(15051711748827 n^{5} + 4940404255570550 n^{4} + 648351263634282205 n^{3} + 42524657335344758810 n^{2} + 1393974858238265499748 n + 18270210646755799552380\right) a{\left(n + 66 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{6122200320 \left(76859892886571 n^{5} + 2209743835478035 n^{4} + 24516527458053735 n^{3} + 130618910861826941 n^{2} + 333808693098015622 n + 327523196147431800\right) a{\left(n + 5 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(108819656650739 n^{5} + 25490218051719160 n^{4} + 2081179572136872145 n^{3} + 58435750387256398460 n^{2} - 493772534041134107544 n - 36196216443543561747480\right) a{\left(n + 65 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3061100160 \left(220032002173393 n^{5} + 6220296234552005 n^{4} + 72359357555792981 n^{3} + 428799790047452091 n^{2} + 1279186131398762178 n + 1520033881329259000\right) a{\left(n + 6 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{170061120 \left(3083484076494659 n^{5} + 255910999916545213 n^{4} + 5481290158255718779 n^{3} + 49836055257985316891 n^{2} + 206710250037454440690 n + 322523338069269363960\right) a{\left(n + 7 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{5 \left(6766092278633731 n^{5} + 2073321017620835255 n^{4} + 253964410891558962383 n^{3} + 15543766614902455639825 n^{2} + 475341263938466250700182 n + 5810301079672015077077808\right) a{\left(n + 64 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{28343520 \left(42477796590490723 n^{5} + 2933804198035808081 n^{4} + 66506646505260125307 n^{3} + 680705262886243801735 n^{2} + 3261669313167271918850 n + 5958365118828619911240\right) a{\left(n + 8 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(153220531695441338 n^{5} + 46717501917317867935 n^{4} + 5696256646125279875530 n^{3} + 347180343519099236366885 n^{2} + 10577296436108478702998952 n + 128865446692141358476530000\right) a{\left(n + 63 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(902132867670108587 n^{5} + 272008140133422381205 n^{4} + 32801047303872014449900 n^{3} + 1977413784996364922169200 n^{2} + 59595170373644623585352988 n + 718319840911175396062286820\right) a{\left(n + 62 \right)}}{128 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{4723920 \left(1429552800342211891 n^{5} + 36513804313662185579 n^{4} + 190105519168236845303 n^{3} - 2094041266853613795803 n^{2} - 24439087205960619137370 n - 66911542316427155657472\right) a{\left(n + 9 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{787320 \left(28955580160718364767 n^{5} + 1049485900866307170907 n^{4} + 13414750596027478341523 n^{3} + 62874002784767299396805 n^{2} - 16324534497137883418050 n - 636207681696505510894704\right) a{\left(n + 10 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{5 \left(47432855961716409161 n^{5} + 13932220968965719534093 n^{4} + 1636806023220434917955959 n^{3} + 96143507664755177782239899 n^{2} + 2823505891087272641272995828 n + 33166031920014257777071838340\right) a{\left(n + 60 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(65047686710612029889 n^{5} + 19363508741346631741375 n^{4} + 2305448887868877864019465 n^{3} + 137232251303964931245675305 n^{2} + 4084003727637340130386860846 n + 48611086642217494047452996160\right) a{\left(n + 61 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{78732 \left(351837519158773485023 n^{5} + 14886646163826475264885 n^{4} + 235947348254777173250135 n^{3} + 1675414971830415689483795 n^{2} + 4687809914248271029839362 n + 1588043755202931317264400\right) a{\left(n + 11 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(954522057077003017029 n^{5} + 276613317635548385352485 n^{4} + 32063193488999219896101985 n^{3} + 1858219781485716021567128755 n^{2} + 53844831267161807826286103186 n + 624076186246550839280392783440\right) a{\left(n + 59 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(7199743888830282172387 n^{5} + 2059161527079980091518450 n^{4} + 235566458165711579161717085 n^{3} + 13473983659320074588494689010 n^{2} + 385334545692044053789167878748 n + 4407872850598659325940379696480\right) a{\left(n + 58 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3 \left(31914469936089198408526 n^{5} + 9798730011794111250622125 n^{4} + 1182733553423992116676324915 n^{3} + 70419659204965902187935583465 n^{2} + 2073705660850588133942740348569 n + 24209194302429979825107495015780\right) a{\left(n + 54 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{4374 \left(35304797256135605190341 n^{5} + 1797295549938969857061115 n^{4} + 35951838647367574989854125 n^{3} + 351090323540730785254605245 n^{2} + 1658431594105631516770459014 n + 2984452350408338081277954240\right) a{\left(n + 12 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{729 \left(41427068380592059164841 n^{5} + 1956685488109013113678925 n^{4} + 33098479239261245747299445 n^{3} + 218686161856436493821936035 n^{2} + 181710598801454442007788954 n - 2385863393159358429735070440\right) a{\left(n + 13 \right)}}{\left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(59736134922155820654427 n^{5} + 16878149137136348973034925 n^{4} + 1907432283591784766217673055 n^{3} + 107775443696945321533206951355 n^{2} + 3044644862735980084995370734198 n + 34402446239632620467050983902040\right) a{\left(n + 57 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{10935 \left(92508382227754139018501 n^{5} + 5688868648531551923259525 n^{4} + 138998803322247765837775809 n^{3} + 1683869141433574776434123867 n^{2} + 10092171339864116958825249426 n + 23872925290160322598009915656\right) a{\left(n + 14 \right)}}{2 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(98631541872286233174091 n^{5} + 27602354963552750979576875 n^{4} + 3089244302634413258795044625 n^{3} + 172840438178622430035817151725 n^{2} + 4834221567637789270630047578064 n + 54073795910659713683229000781620\right) a{\left(n + 56 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(154403578919895636101101 n^{5} + 43180549132060871242494135 n^{4} + 4826090149565310523815289625 n^{3} + 269468906069352634170805548345 n^{2} + 7517019859593855139343327278914 n + 83813296592280302227953010287960\right) a{\left(n + 55 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{5 \left(292684507181452659611983 n^{5} + 71812452860700066655653374 n^{4} + 7013885283948937412887605089 n^{3} + 340618694563393837833182588086 n^{2} + 8217353507632973680902141566460 n + 78692568042115104541982889588144\right) a{\left(n + 53 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{405 \left(635168994765365790733525 n^{5} + 52431692778390099633996035 n^{4} + 1703894741784777587891950781 n^{3} + 27345091117115567915141451781 n^{2} + 217214357248810980595420135566 n + 684288065548828919748190784184\right) a{\left(n + 15 \right)}}{4 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{5 \left(6821273583098406565576076 n^{5} + 1710036966647838416315117905 n^{4} + 171408448689744370118373555286 n^{3} + 8587264580177839694803701174263 n^{2} + 215016830305948232171544184582542 n + 2152653126828791673510913270745448\right) a{\left(n + 51 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(19164170758436633554785671 n^{5} + 4818981810582973451484217165 n^{4} + 484332314676500515879625903095 n^{3} + 24319204900144365571237276848635 n^{2} + 610037789073131610100154889499554 n + 6115583533643359307560454853048120\right) a{\left(n + 52 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{243 \left(36603819664344429021181571 n^{5} + 2611235948265791194550035185 n^{4} + 74276484392619012843803713015 n^{3} + 1052274963059358435085566020995 n^{2} + 7418093156040290311488034325594 n + 20794996875129487747363917776280\right) a{\left(n + 16 \right)}}{8 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{81 \left(53522569106211065570874467 n^{5} + 4636007725491941713677104395 n^{4} + 159790500388690880546384201495 n^{3} + 2743709851816001075103382754105 n^{2} + 23495309230736808019471632209138 n + 80334566341192147350531877106160\right) a{\left(n + 17 \right)}}{16 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(97250320645945198669885672 n^{5} + 24850322936821611102930369545 n^{4} + 2530654304876496151732602110990 n^{3} + 128432925490406855948287337036995 n^{2} + 3249439673019298649909981045768598 n + 32797680401967312659659156077778080\right) a{\left(n + 49 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(138278281029988559737962038 n^{5} + 28746203638175522937118539715 n^{4} + 2346140120782993879563079269040 n^{3} + 93369905748157704821910405173345 n^{2} + 1793203464910018381297572090767142 n + 13050878088802377619755367224186960\right) a{\left(n + 48 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(160151550483040494580407253 n^{5} + 40005023251982933875458746795 n^{4} + 3994708444375861283175801800405 n^{3} + 199325125125632756960677786601125 n^{2} + 4969972785161893891459139085218742 n + 49540346163618593152076179389098640\right) a{\left(n + 50 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(377806441779685009751906776 n^{5} + 84910258614361698748150369595 n^{4} + 7624149366766922048209901397390 n^{3} + 341852756744886264168097712788525 n^{2} + 7653599103224141275589687332984394 n + 68441522315009396116284282756615960\right) a{\left(n + 47 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{27 \left(1030188243963445072562898173 n^{5} + 101278163790102137014117235155 n^{4} + 3946663619081497458146431008685 n^{3} + 76414102134371753034976910125025 n^{2} + 736585966713592575844144315586322 n + 2832123877448997906494386411373640\right) a{\left(n + 19 \right)}}{64 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{27 \left(1299325522237765103292470473 n^{5} + 153292057621820136162058952495 n^{4} + 7044110405010116507160275695625 n^{3} + 159069260660113304529466075788265 n^{2} + 1775614608149455194099816082041102 n + 7868336807556975775390214493904920\right) a{\left(n + 21 \right)}}{128 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{27 \left(2240683261091194789576605989 n^{5} + 182280153004586161181998548145 n^{4} + 5922262713268328060377327501585 n^{3} + 96023077631861417589245306995115 n^{2} + 776627087735110408119984965435766 n + 2505309993753521547750617578824000\right) a{\left(n + 18 \right)}}{32 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3 \left(2271059498703014652251471961 n^{5} + 508898203580560867280037103275 n^{4} + 45585122687329962437186677493065 n^{3} + 2040368776867357099850535952653525 n^{2} + 45633170365279219888487110066582934 n + 407963861550971484357770587179864840\right) a{\left(n + 46 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3 \left(3362774693411588206443413851 n^{5} + 761076476973604212170386334185 n^{4} + 68617861337010408251268179541735 n^{3} + 3081892922617302094563160238597455 n^{2} + 68979940196856583135617846933417894 n + 615704991414473056818138841115577600\right) a{\left(n + 44 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{81 \left(4371130578651527608079083667 n^{5} + 403515343060789594956696419105 n^{4} + 14893056958433234152870454598215 n^{3} + 274687389075574132160859014943255 n^{2} + 2531496442980900504426834038669238 n + 9324627209053639826974786828464120\right) a{\left(n + 20 \right)}}{128 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{27 \left(5655139432266181365050226799 n^{5} + 601718492477200402962237363005 n^{4} + 25714351958854881866091521723715 n^{3} + 551248387424451167402292104639575 n^{2} + 5922300917641811355620275368854426 n + 25481916370239111810459145258656360\right) a{\left(n + 23 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(12371160549397587838802228129 n^{5} + 2750806201364243320041844114915 n^{4} + 244453546783768357337794940872345 n^{3} + 10852645813695815655512962739977085 n^{2} + 240703984381559679078519998862200166 n + 2133703354353159092855096229061857840\right) a{\left(n + 45 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(17975479133902570908002812219 n^{5} + 3531562809265568748847336426295 n^{4} + 276662258752286891808824695871615 n^{3} + 10799397345102867426312904026650185 n^{2} + 209966877859318573140022815236860566 n + 1625912871384354664020384817404341280\right) a{\left(n + 43 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(32650811459532707155611043693 n^{5} + 5476891595652562363129274432735 n^{4} + 362629882192328660107047480480785 n^{3} + 11804809653582240104525147528484145 n^{2} + 187957489744567897000942956143391882 n + 1161494186865138168196995822906816120\right) a{\left(n + 39 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{27 \left(35760470293793738399143745057 n^{5} + 3723312071192977920456692832415 n^{4} + 155146236028634107896361435925545 n^{3} + 3234479813194245984771311849564345 n^{2} + 33741947949287615591330848732968438 n + 140920566777667255808288836366754760\right) a{\left(n + 22 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(43037522547951009082203621502 n^{5} + 8646816258135124465163111000405 n^{4} + 694765101696833570254203281115200 n^{3} + 27906472102916854513508181011301655 n^{2} + 560350202363627436913545379414928958 n + 4499811798474721514627296489251510360\right) a{\left(n + 42 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(43458143739135618561667611643 n^{5} + 8496276857043683961947015042615 n^{4} + 663991478006247519245751856816100 n^{3} + 25929058517944900108134203331275785 n^{2} + 505946885824466346066691942511118087 n + 3946481929532285231399361975985222950\right) a{\left(n + 40 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3 \left(56700313723128059710113795527 n^{5} + 11241051880692924547712841309125 n^{4} + 891203143891363204101541081036515 n^{3} + 35318724599102457842244000659066355 n^{2} + 699668074290098868295101668118600758 n + 5542783948087784853117146197416689880\right) a{\left(n + 41 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(83456173136315621774470157429 n^{5} + 15424069120160695811007465359785 n^{4} + 1103923613685761770767490864378825 n^{3} + 38554293209970104773972090050247655 n^{2} + 660343836164158866525694037196135306 n + 4451793809290952082294401827470819720\right) a{\left(n + 33 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(107160812079206688701882214376 n^{5} + 19619093092183955515664225800280 n^{4} + 1435885197652965088921767414927245 n^{3} + 52512736044791763853022341050333550 n^{2} + 959643076333887286644024577578172509 n + 7010366188627064080205343735843425220\right) a{\left(n + 38 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(113340476487510843468918219043 n^{5} + 14573650020324376750669302416225 n^{4} + 668318633029330845796190791211555 n^{3} + 11662567389353045383068448994695495 n^{2} + 9272364941736290378783833339215882 n - 1224686816099384606197066213224410520\right) a{\left(n + 36 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{9 \left(141333028271381937993811773261 n^{5} + 17201843315050550333597347022165 n^{4} + 839293098779568755406793824080865 n^{3} + 20517329245593818915199488299856195 n^{2} + 251270235648482678960697755662144994 n + 1233117267037782310761558487660980120\right) a{\left(n + 25 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{15 \left(210160023586093082689203835683 n^{5} + 29281331257032527318993210792219 n^{4} + 1631606230581321209106486618327243 n^{3} + 45452283541221574920280171719907721 n^{2} + 633044713213760081785682437023918998 n + 3526666118354278204223570857359008208\right) a{\left(n + 29 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(301341785315965934240330877151 n^{5} + 54778148959477941920276064578960 n^{4} + 3976877574109704629271145110236285 n^{3} + 144141892635465490688296595845194820 n^{2} + 2608344666496546639860664350383576184 n + 18852445079582079424015739545030197000\right) a{\left(n + 37 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(421659680385280391421005188109 n^{5} + 62333342855983802148549932852475 n^{4} + 3692023833546944339377354302365845 n^{3} + 109518648430486717573185357894862365 n^{2} + 1626926885297515047253183474964164926 n + 9682000732135574740348456772607181320\right) a{\left(n + 30 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(424955339670930168926136013193 n^{5} + 70123552422201061879525138426390 n^{4} + 4625805110547840989063430174894145 n^{3} + 152485896865480371717522572789614610 n^{2} + 2511877266629727741516648648854078802 n + 16542169300278634730295456893176772400\right) a{\left(n + 35 \right)}}{256 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{5 \left(444947888099083117347087662336 n^{5} + 65599192907249650958534488229971 n^{4} + 3865705152601198865318577621951382 n^{3} + 113817741560313362541886441772779133 n^{2} + 1674337830054829926745498661500852146 n + 9845091953398618236945027964740331656\right) a{\left(n + 31 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(622864787300745772699570589579 n^{5} + 81828658624822474125153497352280 n^{4} + 4301959949182925626090775503268260 n^{3} + 113138517241122141735838281447835055 n^{2} + 1488534823345478445774045378603110196 n + 7838272143509801325000338247607872360\right) a{\left(n + 27 \right)}}{128 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{3 \left(786804455430625864856576135971 n^{5} + 98225734592572928935357306184345 n^{4} + 4901567174985675639595388400872875 n^{3} + 122224152503320760210407311451875055 n^{2} + 1523149324981873934118706864116963154 n + 7589823981533533842727220008623572280\right) a{\left(n + 26 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{3 \left(801556854028467394171913165917 n^{5} + 92384287596150665728546625303735 n^{4} + 4260992956202609435702752004339285 n^{3} + 98322191966431671266877734909591305 n^{2} + 1135234426817193416093840578372531878 n + 5247628997968585680632057477046569400\right) a{\left(n + 24 \right)}}{512 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(2444757122469580022392018669987 n^{5} + 397933881739632725925974230305725 n^{4} + 25886059008196819549996933963606475 n^{3} + 841216249404751424343400123588331635 n^{2} + 13656287547691131798949430496744034338 n + 88598668432369517245079098605756974880\right) a{\left(n + 34 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} - \frac{\left(2608923675906521184772727332043 n^{5} + 343592048447632100548406204583985 n^{4} + 18055146636340492285787907878497915 n^{3} + 473140007621294108199267562538042375 n^{2} + 6182233967087156797850000323469282442 n + 32216972939158600442096141908427040600\right) a{\left(n + 28 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)} + \frac{\left(3950947268585902088537549783681 n^{5} + 600060071952837038416058762154895 n^{4} + 36453635302543070569511692940728345 n^{3} + 1107315092283070784876152409883315665 n^{2} + 16819352866229369368883599677710929494 n + 102204550744546047204730860841050215280\right) a{\left(n + 32 \right)}}{1024 \left(n + 72\right) \left(n + 73\right) \left(n + 74\right) \left(2 n + 145\right) \left(2 n + 147\right)}, \quad n \geq 74
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24467/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[59,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[57,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[0,x]*F[5,x]
F[15,x] = F[16,x]+F[56,x]
F[16,x] = F[17,x]+F[6,x]
F[17,x] = F[18,x]*F[2,x]
F[18,x] = F[19,x]
F[19,x] = F[0,x]*F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[0,x]+F[18,x]
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]*F[4,x]
F[24,x] = 1/F[10,x]/F[4,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[10,x]+F[27,x]
F[27,x] = -F[30,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[6,x]
F[30,x] = F[31,x]+F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[36,x]
F[34,x] = 1/F[4,x]*F[35,x]
F[35,x] = F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[33,x]*F[38,x]*F[4,x]
F[38,x] = 1/F[4,x]/F[50,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[10,x]+F[41,x]
F[41,x] = -F[45,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[8,x]
F[45,x] = F[46,x]+F[5,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = 1/F[4,x]*F[49,x]
F[49,x] = F[10,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[53,x]
F[53,x] = -F[0,x]+F[54,x]
F[54,x] = 1/F[4,x]*F[55,x]
F[55,x] = F[2,x]
F[56,x] = F[18,x]*F[6,x]
F[57,x] = F[58,x]
F[58,x] = F[11,x]*F[20,x]*F[4,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[6,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[2,x]*F[4,x]*F[8,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[70,x]
F[66,x] = F[67,x]+F[69,x]
F[67,x] = F[15,x]+F[68,x]
F[68,x] = F[10,x]*F[18,x]
F[69,x] = F[18,x]*F[59,x]
F[70,x] = F[71,x]
F[71,x] = F[20,x]*F[4,x]*F[72,x]
F[72,x] = F[66,x]+F[73,x]
F[73,x] = F[0,x]*F[8,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{59}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{57}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{56}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{36}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right) F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right) F_{50}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{5}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{10}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{2}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{11}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{6}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{69}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{66}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{0}\! \left(x \right) F_{8}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_59(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_57(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_0(x)*F_5(x))
Eq(F_15(x), F_16(x) + F_56(x))
Eq(F_16(x), F_17(x) + F_6(x))
Eq(F_17(x), F_18(x)*F_2(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_0(x)*F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_0(x) + F_18(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x)*F_4(x))
Eq(F_24(x), F_25(x)/(F_10(x)*F_4(x)))
Eq(F_25(x), F_26(x))
Eq(F_26(x), -F_10(x) + F_27(x))
Eq(F_27(x), F_28(x) - F_30(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_6(x))
Eq(F_30(x), F_31(x) + F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_36(x))
Eq(F_34(x), F_35(x)/F_4(x))
Eq(F_35(x), F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_33(x)*F_38(x)*F_4(x))
Eq(F_38(x), F_39(x)/(F_4(x)*F_50(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), -F_10(x) + F_41(x))
Eq(F_41(x), F_42(x) - F_45(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_8(x))
Eq(F_45(x), F_46(x) + F_5(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_4(x))
Eq(F_49(x), F_10(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_53(x))
Eq(F_53(x), -F_0(x) + F_54(x))
Eq(F_54(x), F_55(x)/F_4(x))
Eq(F_55(x), F_2(x))
Eq(F_56(x), F_18(x)*F_6(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_11(x)*F_20(x)*F_4(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_6(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_70(x))
Eq(F_66(x), F_67(x) + F_69(x))
Eq(F_67(x), F_15(x) + F_68(x))
Eq(F_68(x), F_10(x)*F_18(x))
Eq(F_69(x), F_18(x)*F_59(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_20(x)*F_4(x)*F_72(x))
Eq(F_72(x), F_66(x) + F_73(x))
Eq(F_73(x), F_0(x)*F_8(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], 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2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 7]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24493/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[7,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[8,x]
F[7,x] = x
F[8,x] = F[75,x]+F[9,x]
F[9,x] = F[10,x]+F[13,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[7,x]*F[8,x]
F[13,x] = F[14,x]+F[96,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[7,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[0,x]*F[10,x]
F[18,x] = F[19,x]+F[95,x]
F[19,x] = F[11,x]+F[20,x]
F[20,x] = F[2,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[0,x]*F[23,x]*F[7,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[0,x]+F[21,x]
F[25,x] = F[26,x]
F[26,x] = F[24,x]*F[27,x]*F[7,x]
F[27,x] = 1/F[13,x]/F[7,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = -F[13,x]+F[30,x]
F[30,x] = -F[33,x]+F[31,x]
F[31,x] = 1/F[7,x]*F[32,x]
F[32,x] = F[11,x]
F[33,x] = F[10,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[7,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = 1/F[7,x]*F[38,x]
F[38,x] = F[13,x]
F[39,x] = F[40,x]
F[40,x] = F[36,x]*F[41,x]*F[7,x]
F[41,x] = 1/F[7,x]/F[92,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[88,x]+F[44,x]
F[44,x] = F[45,x]+F[53,x]
F[45,x] = F[46,x]+F[49,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[7,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[2,x]*F[51,x]*F[7,x]
F[51,x] = 1/F[7,x]*F[52,x]
F[52,x] = F[46,x]
F[53,x] = F[54,x]
F[54,x] = F[55,x]*F[7,x]
F[55,x] = F[56,x]+F[84,x]
F[56,x] = F[57,x]+F[81,x]
F[57,x] = F[58,x]+F[60,x]
F[58,x] = F[19,x]+F[59,x]
F[59,x] = F[21,x]*F[5,x]
F[60,x] = F[21,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[0,x]*F[2,x]
F[63,x] = F[64,x]
F[64,x] = F[65,x]*F[7,x]
F[65,x] = F[14,x]+F[66,x]
F[66,x] = F[5,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[69,x]*F[7,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = F[2,x]*F[8,x]
F[71,x] = F[72,x]+F[74,x]
F[72,x] = F[18,x]+F[73,x]
F[73,x] = F[13,x]*F[21,x]
F[74,x] = F[21,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[7,x]*F[77,x]
F[77,x] = F[78,x]+F[80,x]
F[78,x] = F[37,x]+F[79,x]
F[79,x] = F[13,x]*F[41,x]
F[80,x] = F[41,x]*F[75,x]
F[81,x] = F[21,x]*F[82,x]
F[82,x] = -F[83,x]+F[51,x]
F[83,x] = F[4,x]+F[61,x]
F[84,x] = F[85,x]
F[85,x] = F[23,x]*F[7,x]*F[86,x]
F[86,x] = F[56,x]+F[87,x]
F[87,x] = F[0,x]*F[51,x]
F[88,x] = F[89,x]
F[89,x] = F[7,x]*F[90,x]
F[90,x] = 1/F[7,x]*F[91,x]
F[91,x] = F[13,x]
F[92,x] = 1/F[7,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[2,x]+F[46,x]
F[95,x] = F[11,x]*F[21,x]
F[96,x] = F[97,x]
F[97,x] = F[14,x]*F[23,x]*F[7,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = x
F_{8}\! \left(x \right) = F_{75}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{13}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{96}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{7}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{95}\! \left(x \right)
F_{19}\! \left(x \right) = F_{11}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{2}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right) F_{7}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{24}\! \left(x \right) F_{27}\! \left(x \right) F_{7}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{13}\! \left(x \right) F_{7}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{11}\! \left(x \right)
F_{33}\! \left(x \right) = F_{10}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{7}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{13}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{36}\! \left(x \right) F_{41}\! \left(x \right) F_{7}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{7}\! \left(x \right) F_{92}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{53}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right) F_{7}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{46}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right) F_{7}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{84}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{81}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{60}\! \left(x \right)
F_{58}\! \left(x \right) = F_{19}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{21}\! \left(x \right) F_{5}\! \left(x \right)
F_{60}\! \left(x \right) = F_{21}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right) F_{7}\! \left(x \right)
F_{65}\! \left(x \right) = F_{14}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{5}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right) F_{7}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{8}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{74}\! \left(x \right)
F_{72}\! \left(x \right) = F_{18}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{74}\! \left(x \right) = F_{21}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{7}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{78}\! \left(x \right) = F_{37}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{13}\! \left(x \right) F_{41}\! \left(x \right)
F_{80}\! \left(x \right) = F_{41}\! \left(x \right) F_{75}\! \left(x \right)
F_{81}\! \left(x \right) = F_{21}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{51}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right)+F_{61}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{23}\! \left(x \right) F_{7}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{56}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{51}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{7}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{13}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{95}\! \left(x \right) = F_{11}\! \left(x \right) F_{21}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{14}\! \left(x \right) F_{23}\! \left(x \right) F_{7}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_7(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_7(x)*F_8(x))
Eq(F_7(x), x)
Eq(F_8(x), F_75(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_13(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_7(x)*F_8(x))
Eq(F_13(x), F_14(x) + F_96(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_7(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_0(x)*F_10(x))
Eq(F_18(x), F_19(x) + F_95(x))
Eq(F_19(x), F_11(x) + F_20(x))
Eq(F_20(x), F_2(x)*F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_0(x)*F_23(x)*F_7(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_0(x) + F_21(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_24(x)*F_27(x)*F_7(x))
Eq(F_27(x), F_28(x)/(F_13(x)*F_7(x)))
Eq(F_28(x), F_29(x))
Eq(F_29(x), -F_13(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_33(x))
Eq(F_31(x), F_32(x)/F_7(x))
Eq(F_32(x), F_11(x))
Eq(F_33(x), F_10(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_7(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_38(x)/F_7(x))
Eq(F_38(x), F_13(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_36(x)*F_41(x)*F_7(x))
Eq(F_41(x), F_42(x)/(F_7(x)*F_92(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_88(x))
Eq(F_44(x), F_45(x) + F_53(x))
Eq(F_45(x), F_46(x) + F_49(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_7(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_2(x)*F_51(x)*F_7(x))
Eq(F_51(x), F_52(x)/F_7(x))
Eq(F_52(x), F_46(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x)*F_7(x))
Eq(F_55(x), F_56(x) + F_84(x))
Eq(F_56(x), F_57(x) + F_81(x))
Eq(F_57(x), F_58(x) + F_60(x))
Eq(F_58(x), F_19(x) + F_59(x))
Eq(F_59(x), F_21(x)*F_5(x))
Eq(F_60(x), F_21(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_0(x)*F_2(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_65(x)*F_7(x))
Eq(F_65(x), F_14(x) + F_66(x))
Eq(F_66(x), F_5(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x)*F_7(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), F_2(x)*F_8(x))
Eq(F_71(x), F_72(x) + F_74(x))
Eq(F_72(x), F_18(x) + F_73(x))
Eq(F_73(x), F_13(x)*F_21(x))
Eq(F_74(x), F_21(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_7(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_80(x))
Eq(F_78(x), F_37(x) + F_79(x))
Eq(F_79(x), F_13(x)*F_41(x))
Eq(F_80(x), F_41(x)*F_75(x))
Eq(F_81(x), F_21(x)*F_82(x))
Eq(F_82(x), F_51(x) - F_83(x))
Eq(F_83(x), F_4(x) + F_61(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_23(x)*F_7(x)*F_86(x))
Eq(F_86(x), F_56(x) + F_87(x))
Eq(F_87(x), F_0(x)*F_51(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_7(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_7(x))
Eq(F_91(x), F_13(x))
Eq(F_92(x), F_93(x)/F_7(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), -F_2(x) + F_46(x))
Eq(F_95(x), F_11(x)*F_21(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_14(x)*F_23(x)*F_7(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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{"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 7]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25148/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[59,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[57,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[0,x]*F[5,x]
F[15,x] = F[16,x]+F[56,x]
F[16,x] = F[17,x]+F[6,x]
F[17,x] = F[18,x]*F[2,x]
F[18,x] = F[19,x]
F[19,x] = F[0,x]*F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[0,x]+F[18,x]
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]*F[4,x]
F[24,x] = 1/F[10,x]/F[4,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[10,x]+F[27,x]
F[27,x] = -F[30,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[6,x]
F[30,x] = F[31,x]+F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[36,x]
F[34,x] = 1/F[4,x]*F[35,x]
F[35,x] = F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[33,x]*F[38,x]*F[4,x]
F[38,x] = 1/F[4,x]/F[50,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[10,x]+F[41,x]
F[41,x] = -F[45,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[8,x]
F[45,x] = F[46,x]+F[5,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = 1/F[4,x]*F[49,x]
F[49,x] = F[10,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[53,x]
F[53,x] = -F[0,x]+F[54,x]
F[54,x] = 1/F[4,x]*F[55,x]
F[55,x] = F[2,x]
F[56,x] = F[18,x]*F[6,x]
F[57,x] = F[58,x]
F[58,x] = F[11,x]*F[20,x]*F[4,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[6,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[2,x]*F[4,x]*F[8,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[70,x]
F[66,x] = F[67,x]+F[69,x]
F[67,x] = F[15,x]+F[68,x]
F[68,x] = F[10,x]*F[18,x]
F[69,x] = F[18,x]*F[59,x]
F[70,x] = F[71,x]
F[71,x] = F[20,x]*F[4,x]*F[72,x]
F[72,x] = F[66,x]+F[73,x]
F[73,x] = F[0,x]*F[8,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{59}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{57}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{56}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{36}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right) F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right) F_{50}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{5}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{10}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{2}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{11}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{6}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{69}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{66}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{0}\! \left(x \right) F_{8}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_59(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_57(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_0(x)*F_5(x))
Eq(F_15(x), F_16(x) + F_56(x))
Eq(F_16(x), F_17(x) + F_6(x))
Eq(F_17(x), F_18(x)*F_2(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_0(x)*F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_0(x) + F_18(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x)*F_4(x))
Eq(F_24(x), F_25(x)/(F_10(x)*F_4(x)))
Eq(F_25(x), F_26(x))
Eq(F_26(x), -F_10(x) + F_27(x))
Eq(F_27(x), F_28(x) - F_30(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_6(x))
Eq(F_30(x), F_31(x) + F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_36(x))
Eq(F_34(x), F_35(x)/F_4(x))
Eq(F_35(x), F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_33(x)*F_38(x)*F_4(x))
Eq(F_38(x), F_39(x)/(F_4(x)*F_50(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), -F_10(x) + F_41(x))
Eq(F_41(x), F_42(x) - F_45(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_8(x))
Eq(F_45(x), F_46(x) + F_5(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_4(x))
Eq(F_49(x), F_10(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_53(x))
Eq(F_53(x), -F_0(x) + F_54(x))
Eq(F_54(x), F_55(x)/F_4(x))
Eq(F_55(x), F_2(x))
Eq(F_56(x), F_18(x)*F_6(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_11(x)*F_20(x)*F_4(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_6(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_70(x))
Eq(F_66(x), F_67(x) + F_69(x))
Eq(F_67(x), F_15(x) + F_68(x))
Eq(F_68(x), F_10(x)*F_18(x))
Eq(F_69(x), F_18(x)*F_59(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_20(x)*F_4(x)*F_72(x))
Eq(F_72(x), F_66(x) + F_73(x))
Eq(F_73(x), F_0(x)*F_8(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", 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[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 4]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 6]]}, {"patt": [0], "pos": [[0, 7]]}, {"patt": [0], "pos": [[0, 8]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[1, 6]]}, {"patt": [0], "pos": [[1, 8]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 6]]}, {"patt": [0], "pos": [[2, 7]]}, {"patt": [0], "pos": [[2, 8]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0], "pos": [[3, 7]]}, {"patt": [0, 1], "pos": [[1, 7], [1, 7]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 7], [1, 7]]}, {"patt": [1, 0], "pos": [[2, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[3, 8], [3, 6]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 5], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 5], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 6], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 8], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 3], [0, 5], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 5], [0, 5], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 5], [0, 5], [2, 5]]}, {"patt": [1, 2, 0], "pos": [[0, 5], [2, 5], [2, 5]]}, {"patt": [2, 1, 0], "pos": [[0, 5], [0, 5], [0, 3]]}, {"patt": [2, 1, 0], "pos": [[0, 5], [0, 5], [2, 5]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 3], [0, 3], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 4], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 4], [2, 4], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 3], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 4], [2, 4], [2, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 5], [2, 5], [2, 5], [2, 5]]}, {"patt": [1, 2, 3, 0], "pos": [[3, 6], [3, 6], [3, 6], [3, 6]]}, {"patt": [1, 2, 3, 0], "pos": [[3, 8], [3, 8], [3, 8], [3, 8]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 5], [2, 5], [2, 5], [2, 5]]}, {"patt": [1, 3, 2, 0], "pos": [[3, 6], [3, 6], [3, 6], [3, 6]]}, {"patt": [1, 3, 2, 0], "pos": [[3, 8], [3, 8], [3, 8], [3, 8]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [2, 1], [2, 4], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 3], [0, 2], [0, 3], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 3], [2, 1], [2, 4], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 4], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 4], [2, 1], [2, 4], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 5], [2, 5], [2, 5], [2, 5]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 6], [3, 6], [3, 6], [3, 6]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 8], [3, 8], [3, 8], [3, 8]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 7]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 4
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25724/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[59,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[57,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[0,x]*F[5,x]
F[15,x] = F[16,x]+F[56,x]
F[16,x] = F[17,x]+F[6,x]
F[17,x] = F[18,x]*F[2,x]
F[18,x] = F[19,x]
F[19,x] = F[0,x]*F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[0,x]+F[18,x]
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]*F[4,x]
F[24,x] = 1/F[10,x]/F[4,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[10,x]+F[27,x]
F[27,x] = -F[30,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[6,x]
F[30,x] = F[31,x]+F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[36,x]
F[34,x] = 1/F[4,x]*F[35,x]
F[35,x] = F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[33,x]*F[38,x]*F[4,x]
F[38,x] = 1/F[4,x]/F[50,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[10,x]+F[41,x]
F[41,x] = -F[45,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[8,x]
F[45,x] = F[46,x]+F[5,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = 1/F[4,x]*F[49,x]
F[49,x] = F[10,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[53,x]
F[53,x] = -F[0,x]+F[54,x]
F[54,x] = 1/F[4,x]*F[55,x]
F[55,x] = F[2,x]
F[56,x] = F[18,x]*F[6,x]
F[57,x] = F[58,x]
F[58,x] = F[11,x]*F[20,x]*F[4,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[6,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[2,x]*F[4,x]*F[8,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[70,x]
F[66,x] = F[67,x]+F[69,x]
F[67,x] = F[15,x]+F[68,x]
F[68,x] = F[10,x]*F[18,x]
F[69,x] = F[18,x]*F[59,x]
F[70,x] = F[71,x]
F[71,x] = F[20,x]*F[4,x]*F[72,x]
F[72,x] = F[66,x]+F[73,x]
F[73,x] = F[0,x]*F[8,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{59}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{57}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{56}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{36}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right) F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right) F_{50}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{5}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{10}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{2}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{11}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{6}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{69}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{66}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{0}\! \left(x \right) F_{8}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_59(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_57(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_0(x)*F_5(x))
Eq(F_15(x), F_16(x) + F_56(x))
Eq(F_16(x), F_17(x) + F_6(x))
Eq(F_17(x), F_18(x)*F_2(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_0(x)*F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_0(x) + F_18(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x)*F_4(x))
Eq(F_24(x), F_25(x)/(F_10(x)*F_4(x)))
Eq(F_25(x), F_26(x))
Eq(F_26(x), -F_10(x) + F_27(x))
Eq(F_27(x), F_28(x) - F_30(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_6(x))
Eq(F_30(x), F_31(x) + F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_36(x))
Eq(F_34(x), F_35(x)/F_4(x))
Eq(F_35(x), F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_33(x)*F_38(x)*F_4(x))
Eq(F_38(x), F_39(x)/(F_4(x)*F_50(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), -F_10(x) + F_41(x))
Eq(F_41(x), F_42(x) - F_45(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_8(x))
Eq(F_45(x), F_46(x) + F_5(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_4(x))
Eq(F_49(x), F_10(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_53(x))
Eq(F_53(x), -F_0(x) + F_54(x))
Eq(F_54(x), F_55(x)/F_4(x))
Eq(F_55(x), F_2(x))
Eq(F_56(x), F_18(x)*F_6(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_11(x)*F_20(x)*F_4(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_6(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_70(x))
Eq(F_66(x), F_67(x) + F_69(x))
Eq(F_67(x), F_15(x) + F_68(x))
Eq(F_68(x), F_10(x)*F_18(x))
Eq(F_69(x), F_18(x)*F_59(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_20(x)*F_4(x)*F_72(x))
Eq(F_72(x), F_66(x) + F_73(x))
Eq(F_73(x), F_0(x)*F_8(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 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[0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25883/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[7,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[8,x]
F[7,x] = x
F[8,x] = F[75,x]+F[9,x]
F[9,x] = F[10,x]+F[13,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[7,x]*F[8,x]
F[13,x] = F[14,x]+F[96,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[7,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[0,x]*F[10,x]
F[18,x] = F[19,x]+F[95,x]
F[19,x] = F[11,x]+F[20,x]
F[20,x] = F[2,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[0,x]*F[23,x]*F[7,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[0,x]+F[21,x]
F[25,x] = F[26,x]
F[26,x] = F[24,x]*F[27,x]*F[7,x]
F[27,x] = 1/F[13,x]/F[7,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = -F[13,x]+F[30,x]
F[30,x] = -F[33,x]+F[31,x]
F[31,x] = 1/F[7,x]*F[32,x]
F[32,x] = F[11,x]
F[33,x] = F[10,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[7,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = 1/F[7,x]*F[38,x]
F[38,x] = F[13,x]
F[39,x] = F[40,x]
F[40,x] = F[36,x]*F[41,x]*F[7,x]
F[41,x] = 1/F[7,x]/F[92,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[88,x]+F[44,x]
F[44,x] = F[45,x]+F[53,x]
F[45,x] = F[46,x]+F[49,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[7,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[2,x]*F[51,x]*F[7,x]
F[51,x] = 1/F[7,x]*F[52,x]
F[52,x] = F[46,x]
F[53,x] = F[54,x]
F[54,x] = F[55,x]*F[7,x]
F[55,x] = F[56,x]+F[84,x]
F[56,x] = F[57,x]+F[81,x]
F[57,x] = F[58,x]+F[60,x]
F[58,x] = F[19,x]+F[59,x]
F[59,x] = F[21,x]*F[5,x]
F[60,x] = F[21,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[0,x]*F[2,x]
F[63,x] = F[64,x]
F[64,x] = F[65,x]*F[7,x]
F[65,x] = F[14,x]+F[66,x]
F[66,x] = F[5,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[69,x]*F[7,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = F[2,x]*F[8,x]
F[71,x] = F[72,x]+F[74,x]
F[72,x] = F[18,x]+F[73,x]
F[73,x] = F[13,x]*F[21,x]
F[74,x] = F[21,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[7,x]*F[77,x]
F[77,x] = F[78,x]+F[80,x]
F[78,x] = F[37,x]+F[79,x]
F[79,x] = F[13,x]*F[41,x]
F[80,x] = F[41,x]*F[75,x]
F[81,x] = F[21,x]*F[82,x]
F[82,x] = -F[83,x]+F[51,x]
F[83,x] = F[4,x]+F[61,x]
F[84,x] = F[85,x]
F[85,x] = F[23,x]*F[7,x]*F[86,x]
F[86,x] = F[56,x]+F[87,x]
F[87,x] = F[0,x]*F[51,x]
F[88,x] = F[89,x]
F[89,x] = F[7,x]*F[90,x]
F[90,x] = 1/F[7,x]*F[91,x]
F[91,x] = F[13,x]
F[92,x] = 1/F[7,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[2,x]+F[46,x]
F[95,x] = F[11,x]*F[21,x]
F[96,x] = F[97,x]
F[97,x] = F[14,x]*F[23,x]*F[7,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = x
F_{8}\! \left(x \right) = F_{75}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{13}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{96}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{7}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{95}\! \left(x \right)
F_{19}\! \left(x \right) = F_{11}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{2}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right) F_{7}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{24}\! \left(x \right) F_{27}\! \left(x \right) F_{7}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{13}\! \left(x \right) F_{7}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{11}\! \left(x \right)
F_{33}\! \left(x \right) = F_{10}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{7}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{13}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{36}\! \left(x \right) F_{41}\! \left(x \right) F_{7}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{7}\! \left(x \right) F_{92}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{53}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right) F_{7}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{46}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right) F_{7}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{84}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{81}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{60}\! \left(x \right)
F_{58}\! \left(x \right) = F_{19}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{21}\! \left(x \right) F_{5}\! \left(x \right)
F_{60}\! \left(x \right) = F_{21}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right) F_{7}\! \left(x \right)
F_{65}\! \left(x \right) = F_{14}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{5}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right) F_{7}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{8}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{74}\! \left(x \right)
F_{72}\! \left(x \right) = F_{18}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{74}\! \left(x \right) = F_{21}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{7}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{78}\! \left(x \right) = F_{37}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{13}\! \left(x \right) F_{41}\! \left(x \right)
F_{80}\! \left(x \right) = F_{41}\! \left(x \right) F_{75}\! \left(x \right)
F_{81}\! \left(x \right) = F_{21}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{51}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right)+F_{61}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{23}\! \left(x \right) F_{7}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{56}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{51}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{7}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{13}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{95}\! \left(x \right) = F_{11}\! \left(x \right) F_{21}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{14}\! \left(x \right) F_{23}\! \left(x \right) F_{7}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_7(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_7(x)*F_8(x))
Eq(F_7(x), x)
Eq(F_8(x), F_75(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_13(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_7(x)*F_8(x))
Eq(F_13(x), F_14(x) + F_96(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_7(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_0(x)*F_10(x))
Eq(F_18(x), F_19(x) + F_95(x))
Eq(F_19(x), F_11(x) + F_20(x))
Eq(F_20(x), F_2(x)*F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_0(x)*F_23(x)*F_7(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_0(x) + F_21(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_24(x)*F_27(x)*F_7(x))
Eq(F_27(x), F_28(x)/(F_13(x)*F_7(x)))
Eq(F_28(x), F_29(x))
Eq(F_29(x), -F_13(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_33(x))
Eq(F_31(x), F_32(x)/F_7(x))
Eq(F_32(x), F_11(x))
Eq(F_33(x), F_10(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_7(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_38(x)/F_7(x))
Eq(F_38(x), F_13(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_36(x)*F_41(x)*F_7(x))
Eq(F_41(x), F_42(x)/(F_7(x)*F_92(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_88(x))
Eq(F_44(x), F_45(x) + F_53(x))
Eq(F_45(x), F_46(x) + F_49(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_7(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_2(x)*F_51(x)*F_7(x))
Eq(F_51(x), F_52(x)/F_7(x))
Eq(F_52(x), F_46(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x)*F_7(x))
Eq(F_55(x), F_56(x) + F_84(x))
Eq(F_56(x), F_57(x) + F_81(x))
Eq(F_57(x), F_58(x) + F_60(x))
Eq(F_58(x), F_19(x) + F_59(x))
Eq(F_59(x), F_21(x)*F_5(x))
Eq(F_60(x), F_21(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_0(x)*F_2(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_65(x)*F_7(x))
Eq(F_65(x), F_14(x) + F_66(x))
Eq(F_66(x), F_5(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x)*F_7(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), F_2(x)*F_8(x))
Eq(F_71(x), F_72(x) + F_74(x))
Eq(F_72(x), F_18(x) + F_73(x))
Eq(F_73(x), F_13(x)*F_21(x))
Eq(F_74(x), F_21(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_7(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_80(x))
Eq(F_78(x), F_37(x) + F_79(x))
Eq(F_79(x), F_13(x)*F_41(x))
Eq(F_80(x), F_41(x)*F_75(x))
Eq(F_81(x), F_21(x)*F_82(x))
Eq(F_82(x), F_51(x) - F_83(x))
Eq(F_83(x), F_4(x) + F_61(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_23(x)*F_7(x)*F_86(x))
Eq(F_86(x), F_56(x) + F_87(x))
Eq(F_87(x), F_0(x)*F_51(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_7(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_7(x))
Eq(F_91(x), F_13(x))
Eq(F_92(x), F_93(x)/F_7(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), -F_2(x) + F_46(x))
Eq(F_95(x), F_11(x)*F_21(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_14(x)*F_23(x)*F_7(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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