0123_0132_0213_0231_2130
Counting sequence:
1, 1, 2, 6, 19, 56, 149, 368, 870, 2004, 4543, 10198, 22753, 50570, 112118, 248174, 548743, 1212448, 2677545, 5910928, 13045618, 28786900, 63513835, 140120150, 309102765, 681841346, 1503999898, 3317421062, 7317198443, 16139229624, 35597227437, 78513832544, 173170420270, 381943771908, 842410604935, 1858006561670, 4097981054313, 9038411803050, 19934893415150, 43967870220238, 96974317825215, 213883796981504, 471735897679393, 1040446814594528, 2294778561075610, 5061294856144484, 11163039498100627, 24620862364805990, 54303027364500757, 119769106813373506, 264159096356566514, 582621253028916422, 1285011666187500163, 2834182514999140856, 6250986422611063429, 13786984737261063696, 30408152354956567478, 67067291723810931444, 147921569141604955919, 326251292186175238646, 719569878600892194225, 1587061330396128885898, 3500373959535903334054, 7720317808282908723950, 17027696964129626515383, 37555767915573046404256, 82831853684374571749593, 182691404405602230267120, 402938576844446537404034, 888709007563660137271476, 1960109419840984025985019, 4323157417024868601258294, 9535023842419912872842557, 21030157105985779316604034, 46383471631107912312449802, 102301967108052192120654406, 225634091327618103258803291, 497651654295288513153853688, 1097605275713101552453043997, 2420844642777237936513365120, 5339340939887653448553734142, 11776287155549714240282130340, 25973418953975861270172387927, 57286178847999876632714883878, 126348644851809163002623027641, 278670708658014383416145940010, 614627596164708535102645383454, 1355603837182326320986279903950, 2989878383024447004804710469743, 6594384362216482611906437146880, 14544372561619951591409529736017, 32078623506271890301428516296384, 70751631374772463375178591624746, 156047635311184618615986581217220, 344173894128673067968036668839459, 759099419632170280020106787635654, 1674246474575608799799690004920613, 3692666843280025969419761385436034, 8144433106192441141855464113686242, 17963112686960845308358797494217862, 39618892217202289733981370190965747
Generating function in Maple syntax:
-(x^9+2*x^8-x^7-5*x^6+x^4-5*x^3+9*x^2-5*x+1)/(x^2+x-1)/(x^3+2*x-1)/(x-1)^3
Generating function in latex syntax:
-\frac{x^{9}+2 x^{8}-x^{7}-5 x^{6}+x^{4}-5 x^{3}+9 x^{2}-5 x +1}{\left(x^{2}+x -1\right) \left(x^{3}+2 x -1\right) \left(x -1\right)^{3}}
Generating function in sympy syntax:
(-x**9 - 2*x**8 + x**7 + 5*x**6 - x**4 + 5*x**3 - 9*x**2 + 5*x - 1)/((x - 1)**3*(x**2 + x - 1)*(x**3 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
(x^2+x-1)*(x^3+2*x-1)*(x-1)^3*F(x)+x^9+2*x^8-x^7-5*x^6+x^4-5*x^3+9*x^2-5*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}+x -1\right) \left(x^{3}+2 x -1\right) \left(x -1\right)^{3} F \! \left(x \right)+x^{9}+2 x^{8}-x^{7}-5 x^{6}+x^{4}-5 x^{3}+9 x^{2}-5 x +1 = 0
Explicit closed form in Maple syntax:
15/4-1/2*n^2-2*n-2027/1180*Sum(_alpha^(-n+3),_alpha = RootOf(_Z^5+_Z^4+_Z^3+_Z^2-3*_Z+1))-1663/590*Sum(_alpha^(-n+2),_alpha = RootOf(_Z^5+_Z^4+_Z^3+_Z^2-3*_Z+1))-4079/1180*Sum(_alpha^(1-n),_alpha = RootOf(_Z^5+_Z^4+_Z^3+_Z^2-3*_Z+1))-199/59*Sum(_alpha^(-n),_alpha = RootOf(_Z^5+_Z^4+_Z^3+_Z^2-3*_Z+1))+3981/1180*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^5+_Z^4+_Z^3+_Z^2-3*_Z+1))-piecewise(n = 0,4,n = 1,1,0)
Explicit closed form in latex syntax:
\frac{15}{4}-\frac{n^{2}}{2}-2 n -\frac{2027 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +3}\right)}{1180}-\frac{1663 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +2}\right)}{590}-\frac{4079 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{1-n}\right)}{1180}-\frac{199 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{59}+\frac{3981 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{1180}-\left(\left\{\begin{array}{cc}4 & n =0 \\ 1 & n =1 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 56
a(6) = 149
a(7) = 368
a(8) = 870
a(9) = 2004
a(n+5) = -n^2-a(n)-a(n+1)-a(n+2)-a(n+3)+3*a(n+4)-3*n+14, n >= 10
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) = 19
a \! \left(5\right) = 56
a \! \left(6\right) = 149
a \! \left(7\right) = 368
a \! \left(8\right) = 870
a \! \left(9\right) = 2004
a \! \left(n +5\right) = -n^{2}-a \! \left(n \right)-a \! \left(n +1\right)-a \! \left(n +2\right)-a \! \left(n +3\right)+3 a \! \left(n +4\right)-3 n +14, \quad n \geq 10
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15951/
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[12,x]+F[6,x]
F[6,x] = F[1,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[4,x]
F[11,x] = F[7,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = F[14,x]+F[15,x]+F[66,x]
F[14,x] = 0
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[24,x]
F[17,x] = F[18,x]+F[7,x]
F[18,x] = F[14,x]+F[19,x]+F[21,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[4,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[11,x]+F[23,x]
F[23,x] = F[18,x]
F[24,x] = F[25,x]+F[57,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[30,x]
F[28,x] = F[29,x]+F[7,x]
F[29,x] = F[19,x]
F[30,x] = F[25,x]+F[31,x]
F[31,x] = 2*F[14,x]+F[32,x]+F[40,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = F[29,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]*F[4,x]
F[37,x] = F[38,x]+F[39,x]
F[38,x] = F[29,x]
F[39,x] = F[36,x]
F[40,x] = F[4,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[45,x]+F[47,x]
F[45,x] = F[4,x]+F[46,x]
F[46,x] = F[19,x]
F[47,x] = F[42,x]+F[48,x]
F[48,x] = 2*F[14,x]+F[40,x]+F[49,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[46,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[46,x]
F[56,x] = F[53,x]
F[57,x] = 2*F[14,x]+F[40,x]+F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[61,x]
F[60,x] = F[18,x]
F[61,x] = F[62,x]
F[62,x] = F[4,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[18,x]
F[65,x] = F[62,x]
F[66,x] = F[4,x]*F[67,x]
F[67,x] = F[68,x]+F[86,x]
F[68,x] = F[2,x]+F[69,x]
F[69,x] = F[14,x]+F[70,x]+F[85,x]
F[70,x] = F[4,x]*F[71,x]
F[71,x] = F[72,x]+F[75,x]
F[72,x] = F[4,x]+F[73,x]
F[73,x] = F[14,x]+F[19,x]+F[74,x]
F[74,x] = F[4,x]*F[7,x]
F[75,x] = F[42,x]+F[76,x]
F[76,x] = 2*F[14,x]+F[40,x]+F[77,x]
F[77,x] = F[4,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[73,x]
F[80,x] = F[81,x]
F[81,x] = F[4,x]*F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[73,x]
F[84,x] = F[81,x]
F[85,x] = F[2,x]*F[4,x]
F[86,x] = F[13,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_{12}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)+F_{66}\! \left(x \right)
F_{14}\! \left(x \right) = 0
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_{24}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{7}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)+F_{21}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{11}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{18}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{57}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{30}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{7}\! \left(x \right)
F_{29}\! \left(x \right) = F_{19}\! \left(x \right)
F_{30}\! \left(x \right) = F_{25}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = 2 F_{14}\! \left(x \right)+F_{32}\! \left(x \right)+F_{40}\! \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_{35}\! \left(x \right)
F_{34}\! \left(x \right) = F_{29}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{39}\! \left(x \right)
F_{38}\! \left(x \right) = F_{29}\! \left(x \right)
F_{39}\! \left(x \right) = F_{36}\! \left(x \right)
F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{47}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{19}\! \left(x \right)
F_{47}\! \left(x \right) = F_{42}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = 2 F_{14}\! \left(x \right)+F_{40}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{46}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{46}\! \left(x \right)
F_{56}\! \left(x \right) = F_{53}\! \left(x \right)
F_{57}\! \left(x \right) = 2 F_{14}\! \left(x \right)+F_{40}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{61}\! \left(x \right)
F_{60}\! \left(x \right) = F_{18}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{4}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{18}\! \left(x \right)
F_{65}\! \left(x \right) = F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{86}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{14}\! \left(x \right)+F_{70}\! \left(x \right)+F_{85}\! \left(x \right)
F_{70}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{75}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{75}\! \left(x \right) = F_{42}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = 2 F_{14}\! \left(x \right)+F_{40}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{73}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{73}\! \left(x \right)
F_{84}\! \left(x \right) = F_{81}\! \left(x \right)
F_{85}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{86}\! \left(x \right) = F_{13}\! \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_12(x) + F_6(x))
Eq(F_6(x), F_1(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_4(x))
Eq(F_11(x), F_7(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x) + F_15(x) + F_66(x))
Eq(F_14(x), 0)
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_24(x))
Eq(F_17(x), F_18(x) + F_7(x))
Eq(F_18(x), F_14(x) + F_19(x) + F_21(x))
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_4(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_11(x) + F_23(x))
Eq(F_23(x), F_18(x))
Eq(F_24(x), F_25(x) + F_57(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_30(x))
Eq(F_28(x), F_29(x) + F_7(x))
Eq(F_29(x), F_19(x))
Eq(F_30(x), F_25(x) + F_31(x))
Eq(F_31(x), 2*F_14(x) + F_32(x) + F_40(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), F_29(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x)*F_4(x))
Eq(F_37(x), F_38(x) + F_39(x))
Eq(F_38(x), F_29(x))
Eq(F_39(x), F_36(x))
Eq(F_40(x), F_4(x)*F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_47(x))
Eq(F_45(x), F_4(x) + F_46(x))
Eq(F_46(x), F_19(x))
Eq(F_47(x), F_42(x) + F_48(x))
Eq(F_48(x), 2*F_14(x) + F_40(x) + F_49(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_46(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_46(x))
Eq(F_56(x), F_53(x))
Eq(F_57(x), 2*F_14(x) + F_40(x) + F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_61(x))
Eq(F_60(x), F_18(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_4(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_18(x))
Eq(F_65(x), F_62(x))
Eq(F_66(x), F_4(x)*F_67(x))
Eq(F_67(x), F_68(x) + F_86(x))
Eq(F_68(x), F_2(x) + F_69(x))
Eq(F_69(x), F_14(x) + F_70(x) + F_85(x))
Eq(F_70(x), F_4(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_75(x))
Eq(F_72(x), F_4(x) + F_73(x))
Eq(F_73(x), F_14(x) + F_19(x) + F_74(x))
Eq(F_74(x), F_4(x)*F_7(x))
Eq(F_75(x), F_42(x) + F_76(x))
Eq(F_76(x), 2*F_14(x) + F_40(x) + F_77(x))
Eq(F_77(x), F_4(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_73(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_73(x))
Eq(F_84(x), F_81(x))
Eq(F_85(x), F_2(x)*F_4(x))
Eq(F_86(x), F_13(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.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}], "iterative": false, "name": "point_placements", "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:
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