02341_02413_02431_20341_20413_20431_24013_24031
Counting sequence:
1, 1, 2, 6, 24, 112, 562, 2927, 15598, 84494, 463534, 2568967, 14357212, 80801318, 457444848, 2602936776, 14876416824, 85349930024, 491338360800, 2837046046101, 16425625134324, 95330024304382, 554484136926458, 3231568302519234, 18868045560578766, 110347863142519224, 646348015238922834, 3791256611919674772, 22267360429937112912, 130943075469724701720, 770882615664087220536, 4543109729708636466375, 26800814560061360466046, 158250786143792992255102, 935239076939012144471570, 5531669558175205062415878, 32743603286527065097518384, 193961218653604582160330016, 1149753077705533708123785570, 6819929739672148720973954630, 40478692485015468370357198402, 240398087897726613024333237512, 1428503093471834726846550039542, 8493087093920263266988034145349, 50521189199841360102111168639140, 300673571170968778494663056094834, 1790281921929066950116286670736752, 10664572679137281997668946178773101, 63555521934963246474224234919947772, 378916368287254012912584859104872238, 2259990432243666115769368948618369056, 13484546158016455422868901860264335189, 80487104417631608236733942376605388996, 480585440319873842271248314438849818394, 2870540567241003451073713283449731529984, 17151428231058639442830681171833332969460, 102512175737483783581587619517755073659904, 612892738415275901832692688907730588102424, 3665413016797241577882324582230801416605072, 21927370854239884381246296371644099605238708, 131211351297974293497969182904365189381190160, 785368825005994233023197887671221347529675976, 4702076608052915900421764213340651322486530880, 28158926869941621463743199915103388046190093248, 168674559557633408837775776706166810158693368504, 1010618019548083050428444686861112024954472560984, 6056552480281318268718776929001082259539744084256, 36304636141078996296069692222052183466344462232751, 217667774966905436440296562854657680539917717207708, 1305326160277083266841727929256494721228713310481262, 7829505292496051928293342820314789360362194890666808, 46971843576614036329306518695374297556568756247047366, 281855569789550718300862287883564484032140976760448096, 1691605897492032387740478423161339988040306053135017172, 10154375632721523666497073356093246949466009206153557352, 60965862192600827792155110199843681678733638219534301169, 366098333282340095140000978793114833162939776756884891940, 2198793633615346297961201694703667104647665483510584079466, 13208244516131649709415477772445167994088914421044874200368, 79355664045110710774741952690842426538127916639634112101715, 476849482576436907308625523647459036166558034141421095510596, 2865851434592154823869038315185082651348017597243209400571378, 17226358283200851616073676013521453338244673452080066942806624, 103561719668843733090745857654960026273847327609024712475976631, 622686697316324601623606998473334910150365201077253397751445036, 3744579977156141398940603816399485910704836443229318130054123874, 22521561658317332070430941061729417399450147130455054476479691914, 135473541686865231697329350271915716195520518987950397175613242416, 815022931965404837805182226482209985376028744365745746505912287718, 4903919607395058886675230790451112377727050377334795410465278152940, 29510316932032048847255932509869307053933306528782059042894309749810, 177607094647983967448374190043930016018514221140319405755750102113704, 1069058751191897235351802969226082190540939997759262026451963550615360, 6435712266731630211025522962119466577705576311429927774660126905394208, 38747566980824860617782312930008782822184392962124841816231286139265592, 233315746115595890440264767740738834809151767665420144253495148501668146, 1405058821134391644611142241726152308575242755484940650837532494169779294, 8462426040218620523298376754652193966081594187776107864906927392124743760, 50973481580670276499844114450397925207015495148395201924614830089749540710, 307073171608368828285437776269135819758918876427184337600483055095020372596, 1850064101324000047130213532678019881653406568182313241934300887078950872936
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24171/
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[31,x]
F[13,x] = F[14,x]
F[14,x] = F[0,x]^2*F[11,x]*F[15,x]*F[18,x]
F[15,x] = 1/F[11,x]/F[18,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = -F[23,x]+F[18,x]
F[18,x] = 1/F[11,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[1,x]+F[20,x]
F[24,x] = F[25,x]
F[25,x] = F[11,x]*F[26,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[22,x]*F[23,x]
F[28,x] = F[23,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[11,x]*F[15,x]*F[18,x]
F[31,x] = F[32,x]
F[32,x] = F[0,x]^2*F[11,x]*F[33,x]
F[33,x] = 1/F[0,x]/F[11,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = -F[96,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[0,x]*F[11,x]*F[38,x]*F[87,x]
F[38,x] = 1/F[11,x]/F[87,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[9,x]+F[41,x]
F[41,x] = F[18,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[11,x]*F[44,x]
F[44,x] = 1/F[11,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[47,x]+F[86,x]
F[47,x] = -F[9,x]+F[48,x]
F[48,x] = F[49,x,1]
F[49,x,k[0]] = F[50,x,k[0]]+F[74,x,k[0]]
F[50,x,k[0]] = 1/(-1+k[0])*(F[51,x,k[0]]*k[0]-F[51,x,1])
F[51,x,k[0]] = F[1,x]+F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]*F[60,x,k[0]]
F[54,x,k[0]] = F[55,x,1,k[0]]
F[55,x,k[0],k[1]] = F[56,x,k[0]*k[1],k[1]]
F[56,x,k[0],k[1]] = F[57,x,k[0]]+F[71,x,k[0],k[1]]
F[57,x,k[0]] = F[1,x]+F[58,x,k[0]]
F[58,x,k[0]] = F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]*F[61,x,k[0]]
F[60,x,k[0]] = k[0]*x
F[61,x,k[0]] = F[62,x,k[0]]+F[63,x,k[0]]
F[62,x,k[0]] = F[1,x]+F[60,x,k[0]]
F[63,x,k[0]] = F[58,x,k[0]]+F[64,x,k[0]]
F[64,x,k[0]] = F[65,x]+F[66,x,k[0]]+F[70,x,k[0]]
F[65,x] = 0
F[66,x,k[0]] = F[60,x,k[0]]*F[67,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]+F[69,x,k[0]]
F[68,x,k[0]] = F[60,x,k[0]]
F[69,x,k[0]] = F[64,x,k[0]]
F[70,x,k[0]] = F[58,x,k[0]]*F[60,x,k[0]]
F[71,x,k[0],k[1]] = F[72,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[57,x,k[0]]*F[60,x,k[1]]*F[73,x,k[0],k[1]]
F[73,x,k[0],k[1]] = (-F[55,x,1,k[1]]*k[1]+F[55,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[74,x,k[0]] = F[75,x,k[0]]
F[75,x,k[0]] = F[11,x]*F[76,x,k[0]]
F[76,x,k[0]] = 1/(-1+k[0])*(F[77,x,k[0]]*k[0]-F[77,x,1])
F[77,x,k[0]] = F[49,x,k[0]]+F[78,x,k[0]]
F[78,x,k[0]] = F[79,x]+F[84,x,k[0]]
F[79,x] = -F[9,x]+F[80,x]
F[80,x] = -F[46,x]+F[81,x]
F[81,x] = 1/F[11,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[23,x]+F[9,x]
F[84,x,k[0]] = F[85,x,k[0]]
F[85,x,k[0]] = F[54,x,k[0]]*F[60,x,k[0]]*F[79,x]
F[86,x] = F[84,x,1]
F[87,x] = F[1,x]+F[88,x]+F[89,x]
F[88,x] = F[11,x]*F[87,x]
F[89,x] = F[11,x]*F[90,x]
F[90,x] = F[87,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[11,x]*F[90,x]*F[93,x]
F[93,x] = F[87,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[11,x]*F[87,x]*F[93,x]
F[96,x] = F[0,x]*F[17,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_{31}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right) F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{11}\! \left(x \right) F_{18}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{19}\! \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) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{22}\! \left(x \right) F_{23}\! \left(x \right)
F_{28}\! \left(x \right) = F_{23}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{38}\! \left(x \right) F_{87}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{11}\! \left(x \right) F_{87}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{11}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{86}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x , 1\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = \frac{F_{51}\! \left(x , y\right) y -F_{51}\! \left(x , 1\right)}{-1+y}
F_{51}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right) F_{60}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , 1, y\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y z , z\right)
F_{56}\! \left(x , y , z\right) = F_{57}\! \left(x , y\right)+F_{71}\! \left(x , y , z\right)
F_{57}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = y x
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{60}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x \right)+F_{66}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{65}\! \left(x \right) = 0
F_{66}\! \left(x , y\right) = F_{60}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{69}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{60}\! \left(x , y\right)
F_{71}\! \left(x , y , z\right) = F_{72}\! \left(x , y , z\right)
F_{72}\! \left(x , y , z\right) = F_{57}\! \left(x , y\right) F_{60}\! \left(x , z\right) F_{73}\! \left(x , y , z\right)
F_{73}\! \left(x , y , z\right) = \frac{-F_{55}\! \left(x , 1, z\right) z +F_{55}\! \left(x , \frac{y}{z}, z\right) y}{-z +y}
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = \frac{F_{77}\! \left(x , y\right) y -F_{77}\! \left(x , 1\right)}{-1+y}
F_{77}\! \left(x , y\right) = F_{49}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x \right)+F_{84}\! \left(x , y\right)
F_{79}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{9}\! \left(x \right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{54}\! \left(x , y\right) F_{60}\! \left(x , y\right) F_{79}\! \left(x \right)
F_{86}\! \left(x \right) = F_{84}\! \left(x , 1\right)
F_{87}\! \left(x \right) = F_{1}\! \left(x \right)+F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{11}\! \left(x \right) F_{87}\! \left(x \right)
F_{89}\! \left(x \right) = F_{11}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{87}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{11}\! \left(x \right) F_{90}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{87}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{11}\! \left(x \right) F_{87}\! \left(x \right) F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \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) + F_31(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_0(x)**2*F_11(x)*F_15(x)*F_18(x))
Eq(F_15(x), F_16(x)/(F_11(x)*F_18(x)))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) - F_23(x))
Eq(F_18(x), F_19(x)/F_11(x))
Eq(F_19(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_24(x))
Eq(F_23(x), F_1(x) + F_20(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_11(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_22(x)*F_23(x))
Eq(F_28(x), F_23(x)*F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_11(x)*F_15(x)*F_18(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_0(x)**2*F_11(x)*F_33(x))
Eq(F_33(x), F_34(x)/(F_0(x)*F_11(x)))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) - F_96(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_0(x)*F_11(x)*F_38(x)*F_87(x))
Eq(F_38(x), F_39(x)/(F_11(x)*F_87(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) - F_9(x))
Eq(F_41(x), F_18(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_11(x)*F_44(x))
Eq(F_44(x), F_45(x)/F_11(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) + F_86(x))
Eq(F_47(x), F_48(x) - F_9(x))
Eq(F_48(x), F_49(x, 1))
Eq(F_49(x, k_0), F_50(x, k_0) + F_74(x, k_0))
Eq(F_50(x, k_0), (k_0*F_51(x, k_0) - F_51(x, 1))/(k_0 - 1))
Eq(F_51(x, k_0), F_1(x) + F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0)*F_60(x, k_0))
Eq(F_54(x, k_0), F_55(x, 1, k_0))
Eq(F_55(x, k_0, k_1), F_56(x, k_0*k_1, k_1))
Eq(F_56(x, k_0, k_1), F_57(x, k_0) + F_71(x, k_0, k_1))
Eq(F_57(x, k_0), F_1(x) + F_58(x, k_0))
Eq(F_58(x, k_0), F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0)*F_61(x, k_0))
Eq(F_60(x, k_0), k_0*x)
Eq(F_61(x, k_0), F_62(x, k_0) + F_63(x, k_0))
Eq(F_62(x, k_0), F_1(x) + F_60(x, k_0))
Eq(F_63(x, k_0), F_58(x, k_0) + F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x) + F_66(x, k_0) + F_70(x, k_0))
Eq(F_65(x), 0)
Eq(F_66(x, k_0), F_60(x, k_0)*F_67(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0) + F_69(x, k_0))
Eq(F_68(x, k_0), F_60(x, k_0))
Eq(F_69(x, k_0), F_64(x, k_0))
Eq(F_70(x, k_0), F_58(x, k_0)*F_60(x, k_0))
Eq(F_71(x, k_0, k_1), F_72(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_57(x, k_0)*F_60(x, k_1)*F_73(x, k_0, k_1))
Eq(F_73(x, k_0, k_1), (-k_0*F_55(x, k_0/k_1, k_1) + k_1*F_55(x, 1, k_1))/(-k_0 + k_1))
Eq(F_74(x, k_0), F_75(x, k_0))
Eq(F_75(x, k_0), F_11(x)*F_76(x, k_0))
Eq(F_76(x, k_0), (k_0*F_77(x, k_0) - F_77(x, 1))/(k_0 - 1))
Eq(F_77(x, k_0), F_49(x, k_0) + F_78(x, k_0))
Eq(F_78(x, k_0), F_79(x) + F_84(x, k_0))
Eq(F_79(x), F_80(x) - F_9(x))
Eq(F_80(x), -F_46(x) + F_81(x))
Eq(F_81(x), F_82(x)/F_11(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), -F_23(x) + F_9(x))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_85(x, k_0), F_54(x, k_0)*F_60(x, k_0)*F_79(x))
Eq(F_86(x), F_84(x, 1))
Eq(F_87(x), F_1(x) + F_88(x) + F_89(x))
Eq(F_88(x), F_11(x)*F_87(x))
Eq(F_89(x), F_11(x)*F_90(x))
Eq(F_90(x), F_87(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_11(x)*F_90(x)*F_93(x))
Eq(F_93(x), F_87(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_11(x)*F_87(x)*F_93(x))
Eq(F_96(x), F_0(x)*F_17(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": [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]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 1, "original_rule": {"children": [{"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]]}]]}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 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": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 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, 1], [0, 0], [0, 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": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"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, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"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, 1], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}], "requirements": []}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]]}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.factor", "ignore_parent": true, "partition": [[[0, 1]], [[1, 0], [1, 2]]], "strategy_class": "FactorStrategy", "workable": true}}, "rule_class": "ReverseRule"}, {"class_module": "comb_spec_searcher.strategies.rule", "idx": 1, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 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": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 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, 1], [0, 0], [0, 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": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"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, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"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, 1], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [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, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 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