02341_02413_02431_04213_04231_20341_20413_20431
Counting sequence:
1, 1, 2, 6, 24, 112, 562, 2930, 15666, 85413, 473238, 2657723, 15097742, 86606667, 500992594, 2919226952, 17118494792, 100948151539, 598266265588, 3561436954222, 21286107592822, 127685320160467, 768450073708710, 4638690148648554, 28078299990550054, 170390693421430734, 1036419443225685524, 6317777666424878733, 38589116454982490052, 236143852995408119219, 1447589532265269947980, 8888370420029265437015, 54659082713395782458962, 336608927517479057528151, 2075750781189115243624130, 12816735949463516813099920, 79232157706445976997123550, 490364507635025494722994361, 3038113522570226870536954968, 18842231161414271980125773756, 116971959705876141713700881818, 726828075849568894211468846428, 4520255398903165299645923364584, 28135704975088908501281120842259, 175266774919307319016409955935104, 1092629397666306968920855190909183, 6816527601340652079671393001907148, 42555628481483953939580614761874120, 265853038107106528117108724430295190, 1661900989660131322576004203492495862, 10395284356967174022512624733265862468, 65061605859647705016995016498259307468, 407436975009336117880990589969764889584, 2552901134697497483531244747315780814329, 16004297433827653265792951129272245448066, 100382946194872851415259567595935718179689, 629935470060197390710251557136895739205754, 3954918166218786971151450743251058051183299, 24841462132252930342090149112392625181762558, 156101933783647913160297035210954280688396472, 981351269473132919337073569311796517104202846, 6171911448977395808841075054449829042033197206, 38831850542537933933298585539669944488112036402, 244412930909964735301888320021393068335725570001, 1538943611865285969915233158692349590077476255432, 9693456408333308593656350271941919408676349997371, 61078344866344266177531132287969407171364363250916, 384985111230761765654088630141439595608447383532488, 2427416606870478807141730420613170667452272162263838, 15310318959277986963710768291312742943044734746181838, 96596123243058238619403344122912027529055274722203916, 609630753603368920713860522824686606914310510031892271, 3848593861720296035057926355636513913848900615933350120, 24303108578155031000987662893838737530188737123816091315, 153512140469125287428129535447046170381128928377387542050, 969932574570806665962976818601639943965449655535755986430, 6129925139646388214548395783198536636328499751650562277290, 38750794931250736539771058445833970319251410408607164616444, 245027600668401609465865147371381253575361513620408320677750, 1549728361137958038074385282785223961904603813763309402501559, 9803918149655710320961999162308888579572470361583790517367182, 62036135137101235344274588440848217353933049480330313050940392, 392634342457099652628848960347557758593946937976949560998041820, 2485581159768558523609100560778317956283706294585045190808664840, 15738431049331468586797493740158491760153911923759052457402414772, 99675066338561588912343467691040506985660602567810189445548834719, 631394953904556295090218407917543007932429654292969961280101444574, 4000397017572158687821270679221499008405285060576699608627913316589, 25350732187547975666644902565180168576724277253251154259397501033542, 160679851168001543579363375459584092896928001040271776479652343136879, 1018624168559480969835772063136849792714110224096019590112071392391982, 6458718794372930240668305998417965561373580734036534258565434162218072, 40959710802594864873667033564708685333517058126494444010073589756106062, 259802789486933563382933897654026057809626169161011514605142174751021950, 1648183384655496473222225225777183543113554586230598716293983276438780418, 10457803326717685654145640937184470722268231587178836714454832810221064107, 66366222211161908171392042492581486044176971285993497143144045113635825462, 421234497797147240684482965065119774743602925713923082144297997722901632390, 2674050090806663282102859879404351464175382937539339747102889241884044279748, 16977843499783579669975589944973037433892024880032227208476086119188858995348, 107810620228583033187712750498074627120422267935780354323061176138766824436608
Implicit equation for the generating function in Maple syntax:
x^3*F(x)^6-x^2*F(x)^5-x*(x-1)*F(x)^4-F(x)+1 = 0
Implicit equation for the generating function in latex syntax:
x^{3} F \! \left(x \right)^{6}-x^{2} F \! \left(x \right)^{5}-x \left(x -1\right) F \! \left(x \right)^{4}-F \! \left(x \right)+1 = 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) = 562
a(7) = 2930
a(8) = 15666
a(9) = 85413
a(10) = 473238
a(11) = 2657723
a(12) = 15097742
a(13) = 86606667
a(14) = 500992594
a(n+15) = 109607417194/81*(2*n+5)*(2*n+3)*(2*n+1)*(n+2)*(n+1)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n)+23/27*(2*n+5)*(2*n+3)*(n+2)*(8076552113*n^2+74458617855*n+147946081648)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+1)-1/27*(2*n+5)*(836084388162*n^4+12550699007454*n^3+69131429415505*n^2+166535703350687*n+148573838304552)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+2)+1/324*(19248948405247*n^5+405669548446356*n^4+3416418607482361*n^3+14379912932009724*n^2+30256142609690752*n+25455546181174560)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+3)-1/324*(10315127488348*n^5+245919311914797*n^4+2338109885274574*n^3+11071814937980403*n^2+26087434604143438*n+24441159653751480)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+4)+1/324*(2739116556368*n^5+61578677026335*n^4+494232491341040*n^3+1497403412016015*n^2+55646912368922*n-5324836641001080)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+5)+1/324*(167282674871*n^5+16856631861441*n^4+383383955234429*n^3+3677148242087451*n^2+16237109802535808*n+27319033397690160)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+6)-1/648*(907364972123*n^5+41850934493976*n^4+750621216414665*n^3+6596554473451488*n^2+28550919404533508*n+48857111387726640)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+7)+1/216*(141526445979*n^5+6416393134437*n^4+115961100831607*n^3+1044784127344203*n^2+4694833407038774*n+8420664858338280)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+8)-1/648*(120736399883*n^5+5690145214302*n^4+107308064552669*n^3+1012343164818018*n^2+4778217975489728*n+9028112752651200)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+9)+5/648*(4410538861*n^5+221585688297*n^4+4452786138685*n^3+44745138217599*n^2+224888036767606*n+452350638893064)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+10)-1/648*(2488546871*n^5+135086856996*n^4+2931099120029*n^3+31780350868356*n^2+172209177050228*n+373147890781200)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+11)+1/216*(57732633*n^5+3407543361*n^4+80364661945*n^3+946731829263*n^2+5571307037798*n+13103351073960)/(n+15)/(n+14)/(3*n+44)/(3*n+46)/(n+16)*a(n+12)-1/24*(251803*n^4+12433282*n^3+230136361*n^2+1893027562*n+5840503320)/(n+15)/(3*n+44)/(3*n+46)/(n+16)*a(n+13)+1/24*(2327*n^3+104240*n^2+1552741*n+7692748)/(3*n+44)/(3*n+46)/(n+16)*a(n+14), n >= 15
Recurrence in latex format:
a \! \left(0\right) = 1
a \! \left(1\right) = 1
a \! \left(2\right) = 2
a \! \left(3\right) = 6
a \! \left(4\right) = 24
a \! \left(5\right) = 112
a \! \left(6\right) = 562
a \! \left(7\right) = 2930
a \! \left(8\right) = 15666
a \! \left(9\right) = 85413
a \! \left(10\right) = 473238
a \! \left(11\right) = 2657723
a \! \left(12\right) = 15097742
a \! \left(13\right) = 86606667
a \! \left(14\right) = 500992594
a \! \left(n +15\right) = \frac{109607417194 \left(2 n +5\right) \left(2 n +3\right) \left(2 n +1\right) \left(n +2\right) \left(n +1\right) a \! \left(n \right)}{81 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{23 \left(2 n +5\right) \left(2 n +3\right) \left(n +2\right) \left(8076552113 n^{2}+74458617855 n +147946081648\right) a \! \left(n +1\right)}{27 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(2 n +5\right) \left(836084388162 n^{4}+12550699007454 n^{3}+69131429415505 n^{2}+166535703350687 n +148573838304552\right) a \! \left(n +2\right)}{27 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(19248948405247 n^{5}+405669548446356 n^{4}+3416418607482361 n^{3}+14379912932009724 n^{2}+30256142609690752 n +25455546181174560\right) a \! \left(n +3\right)}{324 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(10315127488348 n^{5}+245919311914797 n^{4}+2338109885274574 n^{3}+11071814937980403 n^{2}+26087434604143438 n +24441159653751480\right) a \! \left(n +4\right)}{324 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(2739116556368 n^{5}+61578677026335 n^{4}+494232491341040 n^{3}+1497403412016015 n^{2}+55646912368922 n -5324836641001080\right) a \! \left(n +5\right)}{324 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(167282674871 n^{5}+16856631861441 n^{4}+383383955234429 n^{3}+3677148242087451 n^{2}+16237109802535808 n +27319033397690160\right) a \! \left(n +6\right)}{324 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(907364972123 n^{5}+41850934493976 n^{4}+750621216414665 n^{3}+6596554473451488 n^{2}+28550919404533508 n +48857111387726640\right) a \! \left(n +7\right)}{648 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(141526445979 n^{5}+6416393134437 n^{4}+115961100831607 n^{3}+1044784127344203 n^{2}+4694833407038774 n +8420664858338280\right) a \! \left(n +8\right)}{216 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(120736399883 n^{5}+5690145214302 n^{4}+107308064552669 n^{3}+1012343164818018 n^{2}+4778217975489728 n +9028112752651200\right) a \! \left(n +9\right)}{648 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{5 \left(4410538861 n^{5}+221585688297 n^{4}+4452786138685 n^{3}+44745138217599 n^{2}+224888036767606 n +452350638893064\right) a \! \left(n +10\right)}{648 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(2488546871 n^{5}+135086856996 n^{4}+2931099120029 n^{3}+31780350868356 n^{2}+172209177050228 n +373147890781200\right) a \! \left(n +11\right)}{648 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(57732633 n^{5}+3407543361 n^{4}+80364661945 n^{3}+946731829263 n^{2}+5571307037798 n +13103351073960\right) a \! \left(n +12\right)}{216 \left(n +15\right) \left(n +14\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}-\frac{\left(251803 n^{4}+12433282 n^{3}+230136361 n^{2}+1893027562 n +5840503320\right) a \! \left(n +13\right)}{24 \left(n +15\right) \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}+\frac{\left(2327 n^{3}+104240 n^{2}+1552741 n +7692748\right) a \! \left(n +14\right)}{24 \left(3 n +44\right) \left(3 n +46\right) \left(n +16\right)}, \quad n \geq 15
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24170/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[12,x]+F[8,x]
F[8,x] = F[0,x]*F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]*F[19,x]
F[14,x] = F[15,x]+F[46,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[9,x]
F[17,x] = F[18,x]
F[18,x] = F[11,x]*F[16,x]*F[19,x]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = 1/F[11,x]/F[41,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[16,x]*F[25,x]
F[25,x] = 1/F[11,x]/F[36,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[33,x]+F[28,x]
F[28,x] = 1/F[11,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[0,x]+F[31,x]
F[31,x] = 1/F[11,x]*F[32,x]
F[32,x] = F[2,x]
F[33,x] = F[0,x]*F[34,x]
F[34,x] = 1/F[11,x]*F[35,x]
F[35,x] = F[2,x]
F[36,x] = 1/F[11,x]/F[39,x]*F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[0,x]*F[11,x]*F[16,x]*F[39,x]
F[39,x] = 1/F[11,x]/F[16,x]/F[4,x]*F[40,x]
F[40,x] = F[12,x]
F[41,x] = F[42,x]+F[45,x]
F[42,x] = F[43,x]+F[9,x]
F[43,x] = F[44,x]
F[44,x] = F[11,x]*F[19,x]*F[41,x]
F[45,x] = F[17,x]
F[46,x] = F[12,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_{11}\! \left(x \right) F_{4}\! \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_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{0}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{46}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right) F_{16}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{11}\! \left(x \right) F_{41}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{16}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{11}\! \left(x \right) F_{36}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{2}\! \left(x \right)
F_{33}\! \left(x \right) = F_{0}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{2}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{11}\! \left(x \right) F_{39}\! \left(x \right)}
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{16}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{11}\! \left(x \right) F_{16}\! \left(x \right) F_{4}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{12}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{9}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{11}\! \left(x \right) F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{17}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_12(x) + F_8(x))
Eq(F_8(x), F_0(x)*F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x)*F_19(x))
Eq(F_14(x), F_15(x) + F_46(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_9(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_11(x)*F_16(x)*F_19(x))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_23(x)/(F_11(x)*F_41(x)))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_16(x)*F_25(x))
Eq(F_25(x), F_26(x)/(F_11(x)*F_36(x)))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_33(x))
Eq(F_28(x), F_29(x)/F_11(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_0(x) + F_31(x))
Eq(F_31(x), F_32(x)/F_11(x))
Eq(F_32(x), F_2(x))
Eq(F_33(x), F_0(x)*F_34(x))
Eq(F_34(x), F_35(x)/F_11(x))
Eq(F_35(x), F_2(x))
Eq(F_36(x), F_37(x)/(F_11(x)*F_39(x)))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_0(x)*F_11(x)*F_16(x)*F_39(x))
Eq(F_39(x), F_40(x)/(F_11(x)*F_16(x)*F_4(x)))
Eq(F_40(x), F_12(x))
Eq(F_41(x), F_42(x) + F_45(x))
Eq(F_42(x), F_43(x) + F_9(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_11(x)*F_19(x)*F_41(x))
Eq(F_45(x), F_17(x))
Eq(F_46(x), F_12(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "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", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "point_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "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, 1, 3], "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, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 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, 1, 3], "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]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 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"pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": []}, {"assumptions": [], "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]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": 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