0123_0132_1320_2130_3102
Counting sequence:
1, 1, 2, 6, 19, 48, 90, 159, 291, 531, 970, 1773, 3244, 5940, 10884, 19954, 36599, 67154, 123257, 226291, 415549, 763243, 1402096, 2576069, 4733626, 8699216, 15988582, 29388550, 54023177, 99314298, 182586879, 335699235, 617236187, 1134932999, 2086914938, 3837541385, 7056893148, 12977310608, 23865210156, 43888840118, 80714252159, 148440619974, 272998921129, 502081319743, 923403596269, 1698294099111, 3123472012584, 5744672967465, 10565635336194, 19432479832852, 35740683910230, 65735394369682, 120903049176969, 222370213811574, 408994234777207, 752244161539511, 1383570851321123, 2544748152604523, 4680464311624762, 8608623366676789, 15833577028192156, 29122245954906268, 53563768795473956, 98518495472683786, 181202736362874263, 333282130464953770, 612998718274243945, 1127476070909725979, 2073744761430309933, 3814199878203320211, 7015388879913782832, 12903282016506880157, 23732787440953877210, 43651323500663901512, 80287174787743914326, 147670932722270309934, 271608859833205998233, 499566043158656711970, 918844340352097382207, 1690016823797360944091, 3108423292399480252155, 5717278122093704644159, 10515707988926677120138, 19341392819600759362033, 35574352097438169751788, 65431409488963532205144, 120347084155817415915756, 221352732075031998440814, 407131041802440781726783, 748830560448730911816702, 1377313852824272242882873, 2533274675988953203058439, 4659417828673534175288829, 8570004317811846705393199, 15762693522210998985434504, 28992110328758131851973793, 53324799528579394430352962, 98079589399408694141170156, 180396476636404806184457446, 331800828963911649390350170, 610276835778902490111308089
Generating function in Maple syntax:
(3*x^13+2*x^12-12*x^11-11*x^10+9*x^9+33*x^8+x^7-24*x^6-5*x^5+3*x^4+3*x^3+2*x^2-3*x+1)/(x^2+x-1)/(x^3+x^2+x-1)/(x-1)^2
Generating function in latex syntax:
\frac{3 x^{13}+2 x^{12}-12 x^{11}-11 x^{10}+9 x^{9}+33 x^{8}+x^{7}-24 x^{6}-5 x^{5}+3 x^{4}+3 x^{3}+2 x^{2}-3 x +1}{\left(x^{2}+x -1\right) \left(x^{3}+x^{2}+x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(3*x**13 + 2*x**12 - 12*x**11 - 11*x**10 + 9*x**9 + 33*x**8 + x**7 - 24*x**6 - 5*x**5 + 3*x**4 + 3*x**3 + 2*x**2 - 3*x + 1)/((x - 1)**2*(x**2 + x - 1)*(x**3 + x**2 + x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^2+x-1)*(x^3+x^2+x-1)*(x-1)^2*F(x)+3*x^13+2*x^12-12*x^11-11*x^10+9*x^9+33*x^8+x^7-24*x^6-5*x^5+3*x^4+3*x^3+2*x^2-3*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}+x -1\right) \left(x^{3}+x^{2}+x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+3 x^{13}+2 x^{12}-12 x^{11}-11 x^{10}+9 x^{9}+33 x^{8}+x^{7}-24 x^{6}-5 x^{5}+3 x^{4}+3 x^{3}+2 x^{2}-3 x +1 = 0
Explicit closed form in Maple syntax:
-6+n-331/110*Sum(_alpha^(3-n),_alpha = RootOf(_Z^5+2*_Z^4+_Z^3-_Z^2-2*_Z+1))-302/55*Sum(_alpha^(2-n),_alpha = RootOf(_Z^5+2*_Z^4+_Z^3-_Z^2-2*_Z+1))-277/55*Sum(_alpha^(1-n),_alpha = RootOf(_Z^5+2*_Z^4+_Z^3-_Z^2-2*_Z+1))+123/110*Sum(_alpha^(-n),_alpha = RootOf(_Z^5+2*_Z^4+_Z^3-_Z^2-2*_Z+1))+174/55*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^5+2*_Z^4+_Z^3-_Z^2-2*_Z+1))+piecewise(n = 0,-1,n = 1,5,Or(n = 2,n = 3),-4,n = 4,-6,n = 5,2,n = 6,3,0)
Explicit closed form in latex syntax:
-6+n -\frac{331 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+2 \textit{\_Z}^{4}+\textit{\_Z}^{3}-\textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{3-n}\right)}{110}-\frac{302 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+2 \textit{\_Z}^{4}+\textit{\_Z}^{3}-\textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{2-n}\right)}{55}-\frac{277 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+2 \textit{\_Z}^{4}+\textit{\_Z}^{3}-\textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{1-n}\right)}{55}+\frac{123 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+2 \textit{\_Z}^{4}+\textit{\_Z}^{3}-\textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{110}+\frac{174 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}+2 \textit{\_Z}^{4}+\textit{\_Z}^{3}-\textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{55}+\left(\left\{\begin{array}{cc}-1 & n =0 \\ 5 & n =1 \\ -4 & n =2\text{ or } n =3 \\ -6 & n =4 \\ 2 & n =5 \\ 3 & n =6 \\ 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) = 48
a(6) = 90
a(7) = 159
a(8) = 291
a(9) = 531
a(10) = 970
a(11) = 1773
a(12) = 3244
a(13) = 5940
a(n+5) = -a(n)-2*a(n+1)-a(n+2)+a(n+3)+2*a(n+4)+2*n-14, n >= 14
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) = 48
a \! \left(6\right) = 90
a \! \left(7\right) = 159
a \! \left(8\right) = 291
a \! \left(9\right) = 531
a \! \left(10\right) = 970
a \! \left(11\right) = 1773
a \! \left(12\right) = 3244
a \! \left(13\right) = 5940
a \! \left(n +5\right) = -a \! \left(n \right)-2 a \! \left(n +1\right)-a \! \left(n +2\right)+a \! \left(n +3\right)+2 a \! \left(n +4\right)+2 n -14, \quad n \geq 14
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/16628/
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[25,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[12,x]+F[18,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[4,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = F[12,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[12,x]*F[4,x]
F[18,x] = F[17,x]+F[19,x]+F[20,x]
F[19,x] = 0
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[4,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]
F[25,x] = F[26,x]+F[37,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[12,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]
F[34,x] = F[26,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[26,x]*F[4,x]
F[37,x] = F[19,x]+F[38,x]+F[67,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[40,x]+F[50,x]
F[40,x] = F[41,x]+F[7,x]
F[41,x] = F[19,x]+F[20,x]+F[42,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[11,x]+F[44,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[22,x]
F[48,x] = F[49,x]
F[49,x] = F[4,x]*F[45,x]
F[50,x] = F[51,x]+F[66,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[54,x]+F[56,x]
F[54,x] = F[55,x]+F[7,x]
F[55,x] = F[20,x]
F[56,x] = F[51,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[24,x]+F[4,x]
F[64,x] = F[60,x]+F[65,x]
F[65,x] = F[58,x]
F[66,x] = F[58,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[76,x]
F[69,x] = F[26,x]+F[70,x]
F[70,x] = F[19,x]+F[36,x]+F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[18,x]+F[4,x]
F[74,x] = F[60,x]+F[75,x]
F[75,x] = F[58,x]
F[76,x] = F[77,x]+F[81,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[12,x]+F[45,x]
F[81,x] = 2*F[19,x]+F[82,x]+F[85,x]
F[82,x] = F[4,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[18,x]+F[48,x]
F[85,x] = F[4,x]*F[77,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_{25}\! \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_{12}\! \left(x \right)+F_{18}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{37}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \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_{34}\! \left(x \right) = F_{26}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right)+F_{38}\! \left(x \right)+F_{67}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{50}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{7}\! \left(x \right)
F_{41}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \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) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{22}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{66}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{56}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{7}\! \left(x \right)
F_{55}\! \left(x \right) = F_{20}\! \left(x \right)
F_{56}\! \left(x \right) = F_{51}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \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_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{24}\! \left(x \right)+F_{4}\! \left(x \right)
F_{64}\! \left(x \right) = F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{58}\! \left(x \right)
F_{66}\! \left(x \right) = F_{58}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{76}\! \left(x \right)
F_{69}\! \left(x \right) = F_{26}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{19}\! \left(x \right)+F_{36}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{18}\! \left(x \right)+F_{4}\! \left(x \right)
F_{74}\! \left(x \right) = F_{60}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{58}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{81}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right)+F_{45}\! \left(x \right)
F_{81}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{18}\! \left(x \right)+F_{48}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \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_25(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_12(x) + F_18(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_4(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_12(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_12(x)*F_4(x))
Eq(F_18(x), F_17(x) + F_19(x) + F_20(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_20(x))
Eq(F_25(x), F_26(x) + F_37(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_12(x))
Eq(F_30(x), F_26(x) + F_31(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))
Eq(F_34(x), F_26(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_26(x)*F_4(x))
Eq(F_37(x), F_19(x) + F_38(x) + F_67(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_40(x) + F_50(x))
Eq(F_40(x), F_41(x) + F_7(x))
Eq(F_41(x), F_19(x) + F_20(x) + F_42(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_11(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_22(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_4(x)*F_45(x))
Eq(F_50(x), F_51(x) + F_66(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_56(x))
Eq(F_54(x), F_55(x) + F_7(x))
Eq(F_55(x), F_20(x))
Eq(F_56(x), F_51(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_24(x) + F_4(x))
Eq(F_64(x), F_60(x) + F_65(x))
Eq(F_65(x), F_58(x))
Eq(F_66(x), F_58(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_76(x))
Eq(F_69(x), F_26(x) + F_70(x))
Eq(F_70(x), F_19(x) + F_36(x) + F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_18(x) + F_4(x))
Eq(F_74(x), F_60(x) + F_75(x))
Eq(F_75(x), F_58(x))
Eq(F_76(x), F_77(x) + F_81(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_12(x) + F_45(x))
Eq(F_81(x), 2*F_19(x) + F_82(x) + F_85(x))
Eq(F_82(x), F_4(x)*F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_18(x) + F_48(x))
Eq(F_85(x), F_4(x)*F_77(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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