0132_0213_0231_1203_1320
Counting sequence:
1, 1, 2, 6, 19, 58, 168, 467, 1265, 3378, 8955, 23653, 62351, 164149, 431715, 1134455, 2978932, 7817465, 20504531, 53759420, 140901894, 369204701, 967231842, 2533533626, 6635459104, 17377029388, 45504007318, 119151757432, 311984804785, 816869748588, 2138758638610, 5599674579353, 14660801943391, 38383804961644, 100492760389725, 263098771134435, 688812142902357, 1803354837390055, 4721286728947901, 12360574068865005, 32360572916527474, 84721419558542851, 221804235514824357, 580692386497457546, 1520275123000692764, 3980137380551009343, 10420145814745222668, 27280317655870555072, 71420842337238369230, 186982279724588552998, 489526137574015451640, 1281596414472434301878, 3355263668793240646231, 8784195717807194230814, 22997325736428155462060, 60207785995076899234415, 157626041256001796667357, 412670355787326999910070, 1080385062134776221661071, 2828484902674595702607665, 7405069790004198961595179, 19386724755568377333436201, 50755105053161685341651047, 132878591556838183297843891, 347880671923195873765018624, 910763428824435456424006173, 2384409623773482532361142343, 6242465460942756214368297512, 16342986795948274258162134850, 42786495000689042854955549233, 112016498353692806896380113670, 293263000355537283013536755478, 767772503303214852502934889996, 2010054510734698895212678248784, 5262391031262065074569921436970, 13777118587773862811366730190020, 36068964741504256325269558412557, 94429775655628372095920524689760, 247220362263159791825449176086166, 647231311209408867106341325637525, 1694473571516182536945403446241259, 4436189403641370198633526305263376, 11614094640012390968762490055323537, 30406094517604728527268573033752911, 79604188915219646252272487393601809, 208406472232889913508007405844043003, 545615227793121500828666763534250593, 1428439211165817402091826951551986377, 3739702405743016331674482224710186270, 9790668006140602845386955989757545543, 25632301612833534709397058278922512825, 67106236832669486292625563915732336278, 175686408885793894188122323605721506936, 459952989825950136311026787176328640179, 1204172560594532394823528798473059872080, 3152564691962598808316701129342444557500, 8253521515303167550440857631753463749082, 21607999853966710883634437850316329498250, 56570478046636579181719588087992293403436, 148103434286022254824038590751254091202210, 387739824811588641615424712840957064496339
Generating function in Maple syntax:
-(x^8-x^7-18*x^6+55*x^5-81*x^4+69*x^3-34*x^2+9*x-1)/(2*x-1)/(x^2-3*x+1)/(x-1)^5
Generating function in latex syntax:
-\frac{x^{8}-x^{7}-18 x^{6}+55 x^{5}-81 x^{4}+69 x^{3}-34 x^{2}+9 x -1}{\left(2 x -1\right) \left(x^{2}-3 x +1\right) \left(x -1\right)^{5}}
Generating function in sympy syntax:
(-x**8 + x**7 + 18*x**6 - 55*x**5 + 81*x**4 - 69*x**3 + 34*x**2 - 9*x + 1)/((x - 1)**5*(2*x - 1)*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(x^2-3*x+1)*(x-1)^5*F(x)+x^8-x^7-18*x^6+55*x^5-81*x^4+69*x^3-34*x^2+9*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(x^{2}-3 x +1\right) \left(x -1\right)^{5} F \! \left(x \right)+x^{8}-x^{7}-18 x^{6}+55 x^{5}-81 x^{4}+69 x^{3}-34 x^{2}+9 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/24*(12*5^(1/2)-12)*(3/2-1/2*5^(1/2))^(-n)+1/24*(-12*5^(1/2)-12)*(3/2+1/2*5^(1/2))^(-n)+1/24*n^4-5/12*n^3+35/24*n^2-37/12*n-2^(n-1)+3)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{\left(12 \sqrt{5}-12\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{24}+\frac{\left(-12 \sqrt{5}-12\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{24}+\frac{n^{4}}{24}-\frac{5 n^{3}}{12}+\\\frac{35 n^{2}}{24}-\frac{37 n}{12}-2^{n -1}+3 & \mathit{\text{otherwise}} \end{array}\right.
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 58
a(6) = 168
a(7) = 467
a(8) = 1265
a(n+3) = 2*a(n)-7*a(n+1)+5*a(n+2)+1/24*n*(n+1)*(n^2-11*n+22), n >= 9
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) = 58
a \! \left(6\right) = 168
a \! \left(7\right) = 467
a \! \left(8\right) = 1265
a \! \left(n +3\right) = 2 a \! \left(n \right)-7 a \! \left(n +1\right)+5 a \! \left(n +2\right)+\frac{n \left(n +1\right) \left(n^{2}-11 n +22\right)}{24}, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18156/
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[12,x]*F[4,x]
F[4,x] = F[19,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[1,x]+F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]
F[19,x] = F[20,x]+F[31,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[23,x]+F[9,x]
F[23,x] = F[20,x]+F[24,x]
F[24,x] = F[25,x]+F[26,x]+F[30,x]
F[25,x] = 0
F[26,x] = F[12,x]*F[27,x]
F[27,x] = F[28,x]+F[29,x]
F[28,x] = F[10,x]
F[29,x] = F[24,x]
F[30,x] = F[12,x]*F[23,x]
F[31,x] = F[25,x]+F[32,x]+F[74,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[47,x]
F[34,x] = F[35,x]+F[6,x]
F[35,x] = F[36,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[38,x]+F[41,x]
F[38,x] = F[12,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[12,x]*F[38,x]
F[41,x] = F[42,x]+F[45,x]
F[42,x] = F[43,x]
F[43,x] = F[12,x]*F[44,x]
F[44,x] = F[12,x]+F[42,x]
F[45,x] = F[46,x]
F[46,x] = F[12,x]*F[41,x]
F[47,x] = F[31,x]+F[48,x]
F[48,x] = 2*F[25,x]+F[49,x]+F[53,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[35,x]
F[52,x] = F[48,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[55,x]+F[68,x]
F[55,x] = F[56,x]+F[62,x]
F[56,x] = F[25,x]+F[57,x]+F[61,x]
F[57,x] = F[12,x]*F[58,x]
F[58,x] = F[59,x]+F[60,x]
F[59,x] = F[12,x]
F[60,x] = F[56,x]
F[61,x] = F[12,x]*F[20,x]
F[62,x] = 2*F[25,x]+F[63,x]+F[67,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[39,x]
F[66,x] = F[62,x]
F[67,x] = F[12,x]*F[55,x]
F[68,x] = F[69,x]+F[72,x]
F[69,x] = F[70,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[56,x]+F[69,x]
F[72,x] = F[73,x]
F[73,x] = F[12,x]*F[68,x]
F[74,x] = F[12,x]*F[75,x]
F[75,x] = F[76,x]+F[89,x]
F[76,x] = F[20,x]+F[77,x]
F[77,x] = F[25,x]+F[78,x]+F[88,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = F[80,x]+F[82,x]
F[80,x] = F[10,x]+F[81,x]
F[81,x] = F[40,x]
F[82,x] = F[77,x]+F[83,x]
F[83,x] = 2*F[25,x]+F[67,x]+F[84,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[81,x]
F[87,x] = F[83,x]
F[88,x] = F[12,x]*F[76,x]
F[89,x] = F[90,x]+F[93,x]
F[90,x] = F[25,x]+F[57,x]+F[91,x]
F[91,x] = F[12,x]*F[92,x]
F[92,x] = F[20,x]+F[90,x]
F[93,x] = 2*F[25,x]+F[63,x]+F[94,x]
F[94,x] = F[12,x]*F[89,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{19}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \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_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \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_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{31}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{9}\! \left(x \right)
F_{23}\! \left(x \right) = F_{20}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)+F_{30}\! \left(x \right)
F_{25}\! \left(x \right) = 0
F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{29}\! \left(x \right)
F_{28}\! \left(x \right) = F_{10}\! \left(x \right)
F_{29}\! \left(x \right) = F_{24}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{31}\! \left(x \right) = F_{25}\! \left(x \right)+F_{32}\! \left(x \right)+F_{74}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{47}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{6}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{41}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \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_{43}\! \left(x \right) = F_{12}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right)+F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{47}\! \left(x \right) = F_{31}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = 2 F_{25}\! \left(x \right)+F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \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_{35}\! \left(x \right)
F_{52}\! \left(x \right) = F_{48}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{68}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{62}\! \left(x \right)
F_{56}\! \left(x \right) = F_{25}\! \left(x \right)+F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{57}\! \left(x \right) = F_{12}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right)
F_{60}\! \left(x \right) = F_{56}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{62}\! \left(x \right) = 2 F_{25}\! \left(x \right)+F_{63}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{39}\! \left(x \right)
F_{66}\! \left(x \right) = F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{72}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{56}\! \left(x \right)+F_{69}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{68}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{89}\! \left(x \right)
F_{76}\! \left(x \right) = F_{20}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{25}\! \left(x \right)+F_{78}\! \left(x \right)+F_{88}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = F_{10}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{40}\! \left(x \right)
F_{82}\! \left(x \right) = F_{77}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = 2 F_{25}\! \left(x \right)+F_{67}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{81}\! \left(x \right)
F_{87}\! \left(x \right) = F_{83}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{93}\! \left(x \right)
F_{90}\! \left(x \right) = F_{25}\! \left(x \right)+F_{57}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{20}\! \left(x \right)+F_{90}\! \left(x \right)
F_{93}\! \left(x \right) = 2 F_{25}\! \left(x \right)+F_{63}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_19(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_1(x) + F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x))
Eq(F_19(x), F_20(x) + F_31(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_9(x))
Eq(F_23(x), F_20(x) + F_24(x))
Eq(F_24(x), F_25(x) + F_26(x) + F_30(x))
Eq(F_25(x), 0)
Eq(F_26(x), F_12(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_29(x))
Eq(F_28(x), F_10(x))
Eq(F_29(x), F_24(x))
Eq(F_30(x), F_12(x)*F_23(x))
Eq(F_31(x), F_25(x) + F_32(x) + F_74(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_47(x))
Eq(F_34(x), F_35(x) + F_6(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_41(x))
Eq(F_38(x), F_12(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_12(x)*F_38(x))
Eq(F_41(x), F_42(x) + F_45(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_12(x)*F_44(x))
Eq(F_44(x), F_12(x) + F_42(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_12(x)*F_41(x))
Eq(F_47(x), F_31(x) + F_48(x))
Eq(F_48(x), 2*F_25(x) + F_49(x) + F_53(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_35(x))
Eq(F_52(x), F_48(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_68(x))
Eq(F_55(x), F_56(x) + F_62(x))
Eq(F_56(x), F_25(x) + F_57(x) + F_61(x))
Eq(F_57(x), F_12(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_60(x))
Eq(F_59(x), F_12(x))
Eq(F_60(x), F_56(x))
Eq(F_61(x), F_12(x)*F_20(x))
Eq(F_62(x), 2*F_25(x) + F_63(x) + F_67(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_39(x))
Eq(F_66(x), F_62(x))
Eq(F_67(x), F_12(x)*F_55(x))
Eq(F_68(x), F_69(x) + F_72(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_56(x) + F_69(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_12(x)*F_68(x))
Eq(F_74(x), F_12(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_89(x))
Eq(F_76(x), F_20(x) + F_77(x))
Eq(F_77(x), F_25(x) + F_78(x) + F_88(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_82(x))
Eq(F_80(x), F_10(x) + F_81(x))
Eq(F_81(x), F_40(x))
Eq(F_82(x), F_77(x) + F_83(x))
Eq(F_83(x), 2*F_25(x) + F_67(x) + F_84(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_81(x))
Eq(F_87(x), F_83(x))
Eq(F_88(x), F_12(x)*F_76(x))
Eq(F_89(x), F_90(x) + F_93(x))
Eq(F_90(x), F_25(x) + F_57(x) + F_91(x))
Eq(F_91(x), F_12(x)*F_92(x))
Eq(F_92(x), F_20(x) + F_90(x))
Eq(F_93(x), 2*F_25(x) + F_63(x) + F_94(x))
Eq(F_94(x), F_12(x)*F_89(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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