0123_0132_1032_1230_2031
Counting sequence:
1, 1, 2, 6, 19, 56, 156, 420, 1106, 2866, 7335, 18588, 46729, 116700, 289835, 716454, 1763884, 4327396, 10583913, 25815710, 62815884, 152514594, 369574814, 893967158, 2158923697, 5206056266, 12536839811, 30152303672, 72434651909, 173820691738, 416694441668, 997984273182, 2388059883095, 5709598208276, 13640360074604, 32563068011024, 77682208961354, 185195610103882, 441232481000347, 1050619747123176, 2500216003610253, 5946686529991476, 14136728654452367, 33589939210557566, 79774723207781644, 189376434761270776, 449365049630287301, 1065842507264761290, 2527053082139329596, 5989216801179453166, 14189477564413498550, 33605431220024935598, 79561853172949849829, 188303330519917763670, 445526826692462774855, 1053797707598392093424, 2491797278503419503049, 5890396596308588636146, 13920563813866847356228, 32889211426903689941170, 77685173540941020749459, 183448593518964908324064, 433097379997473281893084, 1022244666143998037087228, 2412266768531493903508162, 5691148530598450043522466, 13423983342796685524942351, 31657197030550620474505332, 74640689448745682249776209, 175951674584781083393613708, 414694327805224731924048563, 977196645599971872525822102, 2302274929717305714109106860, 5423202515906991168505889676, 12772616630780757685386238369, 30076774979424434858959894134, 70812811266220430861203241004, 166695302429343258177588564602, 392344484292055876566557233742, 923306841388564143261332345446, 2172503347725443786088120439193, 5111075355292669901394589985826, 12022727908516810168107044012107, 28277048845747740385307273902376, 66497734490757324129745251976269, 156358915363413719206463523172746, 367606146024919691277499910008196, 864148605908113683100738858803910, 2031144672361567451733834829557711, 4773546932360243593588924356460716, 11217357793216970335408113720752140, 26356641641992914721128434037853608, 61921397108486518572829040486826554, 145460011092613272490627282233016890, 341664352103422898250652434625679875, 802434995446469587860780626963662144, 1884408787701825147953109143023205589, 4424827549482647216416175423051303396, 10389016116774588115469957648887611543, 24389909023103289235515648483020187630, 57253818056067834601189233829104342284
Generating function in Maple syntax:
(x^7-4*x^6+12*x^5-19*x^4+25*x^3-19*x^2+7*x-1)/(2*x-1)/(x^3-2*x^2+3*x-1)^2
Generating function in latex syntax:
\frac{x^{7}-4 x^{6}+12 x^{5}-19 x^{4}+25 x^{3}-19 x^{2}+7 x -1}{\left(2 x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right)^{2}}
Generating function in sympy syntax:
(x**7 - 4*x**6 + 12*x**5 - 19*x**4 + 25*x**3 - 19*x**2 + 7*x - 1)/((2*x - 1)*(x**3 - 2*x**2 + 3*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(x^3-2*x^2+3*x-1)^2*F(x)-x^7+4*x^6-12*x^5+19*x^4-25*x^3+19*x^2-7*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right)^{2} F \! \left(x \right)-x^{7}+4 x^{6}-12 x^{5}+19 x^{4}-25 x^{3}+19 x^{2}-7 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/317400*(-345*2^(1/3)*(((1/3*n+123/115)*23^(1/2)+I*n-11/15*I)*3^(1/2)+(I*n+369/115*I)*23^(1/2)+n-11/15)*(11+3*23^(1/2)*3^(1/2))^(2/3)-2760*2^(2/3)*(((1/12*n+11/92)*23^(1/2)+I*n+8/3*I)*3^(1/2)+(-1/4*I*n-33/92*I)*23^(1/2)-n-8/3)*(11+3*23^(1/2)*3^(1/2))^(1/3)+13800*n+105800)*(11/600*((I-3/11*23^(1/2))*3^(1/2)-9/11*I*23^(1/2)+1)*2^(1/3)*(11+3*23^(1/2)*3^(1/2))^(2/3)-1/12*I*3^(1/2)*(44+12*23^(1/2)*3^(1/2))^(1/3)+1/12*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)+1/317400*(2760*(((-1/12*n-11/92)*23^(1/2)+I*n+8/3*I)*3^(1/2)+(-1/4*I*n-33/92*I)*23^(1/2)+n+8/3)*2^(2/3)*(11+3*23^(1/2)*3^(1/2))^(1/3)+345*2^(1/3)*(((-1/3*n-123/115)*23^(1/2)+I*n-11/15*I)*3^(1/2)+(I*n+369/115*I)*23^(1/2)-n+11/15)*(11+3*23^(1/2)*3^(1/2))^(2/3)+13800*n+105800)*(-11/600*2^(1/3)*((I+3/11*23^(1/2))*3^(1/2)-9/11*I*23^(1/2)-1)*(11+3*23^(1/2)*3^(1/2))^(2/3)+1/12*I*3^(1/2)*(44+12*23^(1/2)*3^(1/2))^(1/3)+1/12*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)+1/317400*(460*(3^(1/2)*(n+33/23)*23^(1/2)-12*n-32)*2^(2/3)*(11+3*23^(1/2)*3^(1/2))^(1/3)+230*2^(1/3)*(3^(1/2)*(n+369/115)*23^(1/2)+3*n-11/5)*(11+3*23^(1/2)*3^(1/2))^(2/3)+13800*n+105800)*(1/300*2^(1/3)*(3*23^(1/2)*3^(1/2)-11)*(11+3*23^(1/2)*3^(1/2))^(2/3)-1/6*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)-2^(n-1))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{\left(-345 \,2^{\frac{1}{3}} \left(\left(\left(\frac{n}{3}+\frac{123}{115}\right) \sqrt{23}+\mathrm{I} n -\frac{11 \,\mathrm{I}}{15}\right) \sqrt{3}+\left(\mathrm{I} n +\frac{369 \,\mathrm{I}}{115}\right) \sqrt{23}+n -\frac{11}{15}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}-2760 \,2^{\frac{2}{3}} \left(\left(\left(\frac{n}{12}+\frac{11}{92}\right) \sqrt{23}+\mathrm{I} n +\frac{8 \,\mathrm{I}}{3}\right) \sqrt{3}+\left(-\frac{\mathrm{I} n}{4}-\frac{33 \,\mathrm{I}}{92}\right) \sqrt{23}-n -\frac{8}{3}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}+13800 n +105800\right) \left(\frac{11 \left(\left(\mathrm{I}-\frac{3 \sqrt{23}}{11}\right) \sqrt{3}-\frac{9 \,\mathrm{I} \sqrt{23}}{11}+1\right) 2^{\frac{1}{3}} \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{600}-\frac{\mathrm{I} \sqrt{3}\, \left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{2}{3}\right)^{-n}}{317400}\\+\\\frac{\left(2760 \left(\left(\left(-\frac{n}{12}-\frac{11}{92}\right) \sqrt{23}+\mathrm{I} n +\frac{8 \,\mathrm{I}}{3}\right) \sqrt{3}+\left(-\frac{\mathrm{I} n}{4}-\frac{33 \,\mathrm{I}}{92}\right) \sqrt{23}+n +\frac{8}{3}\right) 2^{\frac{2}{3}} \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}+345 \,2^{\frac{1}{3}} \left(\left(\left(-\frac{n}{3}-\frac{123}{115}\right) \sqrt{23}+\mathrm{I} n -\frac{11 \,\mathrm{I}}{15}\right) \sqrt{3}+\left(\mathrm{I} n +\frac{369 \,\mathrm{I}}{115}\right) \sqrt{23}-n +\frac{11}{15}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}+13800 n +105800\right) \left(-\frac{11 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{3 \sqrt{23}}{11}\right) \sqrt{3}-\frac{9 \,\mathrm{I} \sqrt{23}}{11}-1\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{600}+\frac{\mathrm{I} \sqrt{3}\, \left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{2}{3}\right)^{-n}}{317400}\\+\\\frac{\left(460 \left(\sqrt{3}\, \left(n +\frac{33}{23}\right) \sqrt{23}-12 n -32\right) 2^{\frac{2}{3}} \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}+230 \,2^{\frac{1}{3}} \left(\sqrt{3}\, \left(n +\frac{369}{115}\right) \sqrt{23}+3 n -\frac{11}{5}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}+13800 n +105800\right) \left(\frac{2^{\frac{1}{3}} \left(3 \sqrt{23}\, \sqrt{3}-11\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{300}-\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}+\frac{2}{3}\right)^{-n}}{317400}\\-2^{n -1} & \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) = 56
a(6) = 156
a(7) = 420
a(n+7) = 2*a(n)-9*a(n+1)+24*a(n+2)-38*a(n+3)+40*a(n+4)-25*a(n+5)+8*a(n+6), n >= 8
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) = 156
a \! \left(7\right) = 420
a \! \left(n +7\right) = 2 a \! \left(n \right)-9 a \! \left(n +1\right)+24 a \! \left(n +2\right)-38 a \! \left(n +3\right)+40 a \! \left(n +4\right)-25 a \! \left(n +5\right)+8 a \! \left(n +6\right), \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/16350/
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[19,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[7,x]
F[12,x] = F[13,x]+F[14,x]+F[18,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[4,x]
F[17,x] = F[12,x]
F[18,x] = F[4,x]*F[7,x]
F[19,x] = F[2,x]+F[20,x]
F[20,x] = F[13,x]+F[21,x]+F[58,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[31,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = F[25,x]
F[25,x] = F[10,x]*F[4,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[16,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[27,x]
F[31,x] = F[32,x]+F[52,x]
F[32,x] = F[13,x]+F[21,x]+F[33,x]
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[2,x]+F[35,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[30,x]+F[4,x]
F[39,x] = F[35,x]+F[40,x]
F[40,x] = 2*F[13,x]+F[41,x]+F[49,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[43,x]+F[45,x]
F[43,x] = F[44,x]
F[44,x] = F[16,x]*F[4,x]
F[45,x] = F[46,x]
F[46,x] = 2*F[13,x]+F[41,x]+F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[35,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[48,x]+F[51,x]
F[51,x] = F[40,x]
F[52,x] = 2*F[13,x]+F[49,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[44,x]
F[56,x] = F[57,x]
F[57,x] = 2*F[13,x]+F[47,x]+F[53,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[34,x]+F[60,x]
F[60,x] = F[20,x]+F[61,x]
F[61,x] = 2*F[13,x]+F[41,x]+F[62,x]
F[62,x] = F[4,x]*F[63,x]
F[63,x] = F[48,x]+F[64,x]
F[64,x] = F[61,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_{19}\! \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_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{18}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right)
F_{18}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{19}\! \left(x \right) = F_{2}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right)+F_{21}\! \left(x \right)+F_{58}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{31}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \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_{16}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{27}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{52}\! \left(x \right)
F_{32}\! \left(x \right) = F_{13}\! \left(x \right)+F_{21}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{2}\! \left(x \right)+F_{35}\! \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_{30}\! \left(x \right)+F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{41}\! \left(x \right)+F_{49}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{45}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{41}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{35}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{40}\! \left(x \right)
F_{52}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{49}\! \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_{44}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{47}\! \left(x \right)+F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{34}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{20}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{41}\! \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_{48}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{61}\! \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_19(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_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_18(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_4(x))
Eq(F_17(x), F_12(x))
Eq(F_18(x), F_4(x)*F_7(x))
Eq(F_19(x), F_2(x) + F_20(x))
Eq(F_20(x), F_13(x) + F_21(x) + F_58(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_31(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_10(x)*F_4(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_16(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_27(x))
Eq(F_31(x), F_32(x) + F_52(x))
Eq(F_32(x), F_13(x) + F_21(x) + F_33(x))
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_2(x) + F_35(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_30(x) + F_4(x))
Eq(F_39(x), F_35(x) + F_40(x))
Eq(F_40(x), 2*F_13(x) + F_41(x) + F_49(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_45(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_16(x)*F_4(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), 2*F_13(x) + F_41(x) + F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_35(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_48(x) + F_51(x))
Eq(F_51(x), F_40(x))
Eq(F_52(x), 2*F_13(x) + F_49(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_44(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), 2*F_13(x) + F_47(x) + F_53(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_34(x) + F_60(x))
Eq(F_60(x), F_20(x) + F_61(x))
Eq(F_61(x), 2*F_13(x) + F_41(x) + F_62(x))
Eq(F_62(x), F_4(x)*F_63(x))
Eq(F_63(x), F_48(x) + F_64(x))
Eq(F_64(x), F_61(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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