0213_0231_0321_2103_3012
Counting sequence:
1, 1, 2, 6, 19, 50, 116, 264, 600, 1356, 3051, 6859, 15419, 34654, 77871, 174978, 393179, 883473, 1985150, 4460595, 10022873, 22521199, 50604679, 113707685, 255498856, 574100726, 1289992626, 2898587123, 6513066152, 14634726809, 32883932650, 73889525958, 166028257763, 373062108842, 838262949492, 1883559750064, 4232320340784, 9509937482148, 21368635555019, 48014888251403, 107888474575683, 242423201847758, 544719990019799, 1223974707311674, 2750246202795395, 6179747122882673, 13885765741249070, 31201032402585419, 70108083423537241, 157531433508410839, 353969918037773503, 795363186160420605, 1787164856850203880, 4015722981823054870, 9023247634335893018, 20275053393644637027, 45557631439802112208, 102367068638912968433, 230016715323983412050, 516842867847077680326, 1161335382379225804275, 2609496917281545876834, 5863486349095239877620, 13175134233092799827800, 29604257897999293656392, 66520163679996147262972, 149469451024898788354539, 335854807831794430315659, 754658903008491501722891, 1695703162823878645406910, 3810210420824454362221055, 8561465101464295868126130, 19237437460929167453066411, 43226129602498176412037905, 97128231564461224409016094, 218245155270491457777003683, 490392412502945963550985561, 1101901748711922160469958719, 2475950754656298826713899319, 5563410845521573850346771797, 12500870696987524366937484200, 28089201484840323757507840886, 63115862821146598031606394178, 141820056430145995453783145043, 318666774196598265181664843384, 716037742002195927785506437641, 1608922201770844125298894573626, 3615215371347285913201630741510, 8123315202463220023916649619011, 18252923574502881835736035405914, 41013946980121697782187089689332, 92157502332283057376193565165568, 207076028070184930698838184614560, 465295611492531220991682844705364, 1045509748722964315306010308859723, 2349239080868274920904865277810251, 5278692298966982936124058019774867, 11861113930079276477846971008500270, 26651681078257260970913134758965159, 59885783787626815483549182506655722, 134562134723431615460164528763776339
Generating function in Maple syntax:
(x^6-5*x^5-4*x^4-x^3-x^2+2*x-1)/(x-1)/(x^2+1)/(x^3-x^2-2*x+1)
Generating function in latex syntax:
\frac{x^{6}-5 x^{5}-4 x^{4}-x^{3}-x^{2}+2 x -1}{\left(x -1\right) \left(x^{2}+1\right) \left(x^{3}-x^{2}-2 x +1\right)}
Generating function in sympy syntax:
(x**6 - 5*x**5 - 4*x**4 - x**3 - x**2 + 2*x - 1)/((x - 1)*(x**2 + 1)*(x**3 - x**2 - 2*x + 1))
Implicit equation for the generating function in Maple syntax:
(x-1)*(x^2+1)*(x^3-x^2-2*x+1)*F(x)-x^6+5*x^5+4*x^4+x^3+x^2-2*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x -1\right) \left(x^{2}+1\right) \left(x^{3}-x^{2}-2 x +1\right) F \! \left(x \right)-x^{6}+5 x^{5}+4 x^{4}+x^{3}+x^{2}-2 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/15288*((268*I*3^(1/2)+570)*(-28+84*I*3^(1/2))^(2/3)-1442*I*(-28+84*I*3^(1/2))^(1/3)*3^(1/2)-2982*(-28+84*I*3^(1/2))^(1/3)+25872)*(1/168*(I*3^(1/2)+5)*(-28+84*I*3^(1/2))^(2/3)-1/12*I*3^(1/2)*(-28+84*I*3^(1/2))^(1/3)-1/12*(-28+84*I*3^(1/2))^(1/3)+1/3)^(-n)+1/15288*((151*I*3^(1/2)-687)*(-28+84*I*3^(1/2))^(2/3)+2212*I*(-28+84*I*3^(1/2))^(1/3)*3^(1/2)-672*(-28+84*I*3^(1/2))^(1/3)+25872)*(1/84*(I*3^(1/2)-2)*(-28+84*I*3^(1/2))^(2/3)+1/12*I*3^(1/2)*(-28+84*I*3^(1/2))^(1/3)-1/12*(-28+84*I*3^(1/2))^(1/3)+1/3)^(-n)+1/15288*((-419*I*3^(1/2)+117)*(-28+84*I*3^(1/2))^(2/3)-770*I*(-28+84*I*3^(1/2))^(1/3)*3^(1/2)+3654*(-28+84*I*3^(1/2))^(1/3)+25872)*(1/6*(-28+84*I*3^(1/2))^(1/3)+1/3-1/168*(-28+84*I*3^(1/2))^(2/3)-1/56*I*3^(1/2)*(-28+84*I*3^(1/2))^(2/3))^(-n)-15/26*cos(1/2*n*Pi)+23/26*sin(1/2*n*Pi)-9/2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{\left(\left(268 \,\mathrm{I} \sqrt{3}+570\right) \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}-1442 \,\mathrm{I} \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}} \sqrt{3}-2982 \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}+25872\right) \left(\frac{\left(\mathrm{I} \sqrt{3}+5\right) \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}}{168}-\frac{\mathrm{I} \sqrt{3}\, \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}}{12}-\frac{\left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{1}{3}\right)^{-n}}{15288}\\+\\\frac{\left(\left(151 \,\mathrm{I} \sqrt{3}-687\right) \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}+2212 \,\mathrm{I} \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}} \sqrt{3}-672 \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}+25872\right) \left(\frac{\left(\mathrm{I} \sqrt{3}-2\right) \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}}{84}+\frac{\mathrm{I} \sqrt{3}\, \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}}{12}-\frac{\left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{1}{3}\right)^{-n}}{15288}\\+\\\frac{\left(\left(-419 \,\mathrm{I} \sqrt{3}+117\right) \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}-770 \,\mathrm{I} \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}} \sqrt{3}+3654 \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}+25872\right) \left(\frac{\left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{1}{3}}}{6}+\frac{1}{3}-\frac{\left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}}{168}-\frac{\mathrm{I} \sqrt{3}\, \left(-28+84 \,\mathrm{I} \sqrt{3}\right)^{\frac{2}{3}}}{56}\right)^{-n}}{15288}\\-\frac{15 \cos \left(\frac{n \pi}{2}\right)}{26}+\frac{23 \sin \left(\frac{n \pi}{2}\right)}{26}-\frac{9}{2} & \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) = 50
a(6) = 116
a(n+2) = a(n)-a(n+1)-2*a(n+4)+a(n+5)-9, n >= 7
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) = 50
a \! \left(6\right) = 116
a \! \left(n +2\right) = a \! \left(n \right)-a \! \left(n +1\right)-2 a \! \left(n +4\right)+a \! \left(n +5\right)-9, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20288/
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[13,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[6,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[1,x]+F[4,x]
F[13,x] = F[14,x]+F[49,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[20,x]
F[17,x] = F[1,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[4,x]
F[20,x] = F[14,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]+F[47,x]
F[22,x] = 0
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[18,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[4,x]
F[29,x] = F[30,x]+F[35,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[14,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[14,x]*F[4,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]*F[4,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]+F[34,x]+F[39,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[4,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = x^2
F[44,x] = F[33,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[38,x]*F[4,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[14,x]+F[38,x]
F[49,x] = F[22,x]+F[50,x]+F[76,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[61,x]
F[52,x] = F[53,x]+F[7,x]
F[53,x] = F[22,x]+F[54,x]+F[56,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[7,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[58,x]+F[59,x]
F[58,x] = F[4,x]
F[59,x] = F[60,x]
F[60,x] = x^2
F[61,x] = F[62,x]+F[68,x]
F[62,x] = F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[14,x]+F[62,x]
F[66,x] = F[67,x]
F[67,x] = F[32,x]*F[4,x]
F[68,x] = 2*F[22,x]+F[69,x]+F[71,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[62,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[38,x]
F[74,x] = F[75,x]
F[75,x] = F[33,x]*F[4,x]
F[76,x] = F[4,x]*F[77,x]
F[77,x] = F[13,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[22,x]+F[39,x]+F[80,x]
F[80,x] = F[4,x]*F[48,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_{13}\! \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_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{49}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
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_{20}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{47}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{18}\! \left(x \right)+F_{26}\! \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_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{35}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{14}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \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_{38}\! \left(x \right) = F_{22}\! \left(x \right)+F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \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_{43}\! \left(x \right) = x^{2}
F_{44}\! \left(x \right) = F_{33}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{14}\! \left(x \right)+F_{38}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right)+F_{50}\! \left(x \right)+F_{76}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{61}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{7}\! \left(x \right)
F_{53}\! \left(x \right) = F_{22}\! \left(x \right)+F_{54}\! \left(x \right)+F_{56}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{7}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = x^{2}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{68}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \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_{14}\! \left(x \right)+F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{68}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{62}\! \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_{38}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{13}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{22}\! \left(x \right)+F_{39}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \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_13(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_6(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_1(x) + F_4(x))
Eq(F_13(x), F_14(x) + F_49(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_20(x))
Eq(F_17(x), F_1(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_4(x))
Eq(F_20(x), F_14(x) + F_21(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_47(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_18(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_4(x))
Eq(F_29(x), F_30(x) + F_35(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_14(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_14(x)*F_4(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))
Eq(F_38(x), F_22(x) + F_34(x) + F_39(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_4(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), x**2)
Eq(F_44(x), F_33(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_38(x)*F_4(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_14(x) + F_38(x))
Eq(F_49(x), F_22(x) + F_50(x) + F_76(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_61(x))
Eq(F_52(x), F_53(x) + F_7(x))
Eq(F_53(x), F_22(x) + F_54(x) + F_56(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_7(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_58(x) + F_59(x))
Eq(F_58(x), F_4(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), x**2)
Eq(F_61(x), F_62(x) + F_68(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_14(x) + F_62(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_32(x)*F_4(x))
Eq(F_68(x), 2*F_22(x) + F_69(x) + F_71(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_62(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_38(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_33(x)*F_4(x))
Eq(F_76(x), F_4(x)*F_77(x))
Eq(F_77(x), F_13(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_22(x) + F_39(x) + F_80(x))
Eq(F_80(x), F_4(x)*F_48(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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