0123_1320
Counting sequence:
1, 1, 2, 6, 22, 86, 330, 1198, 4087, 13185, 40619, 120636, 348197, 983073, 2728722, 7475575, 20274288, 54558291, 145933414, 388520823, 1030601705, 2726043970, 7194657991, 18955376065, 49872709551, 131077883030, 344216450494, 903332924312, 2369406020786, 6212334009004, 16282896577058, 42667762378100, 111784814726451, 292818751651487, 766942022713011, 2008561366746314, 5259875948294017, 13773385759793335, 36065022974205098, 94431372608162637, 247248886058589484, 647355692618807489, 1694900655168658830, 4437514498164809749, 11617985886952061605, 30417142452084884424, 79634866436370235583, 208490359567720982151, 545842123241301232235, 1429048043211434439348, 3741326494715972982822, 9794981262007359068614, 25643718622297716512430, 67136380644568738777026, 175765842146173841011450, 460161996974282352618378, 1204721878158930122022671, 3154007150310217356885229, 8257306706473531697454907, 21617927452686779352423976, 56596505051085173827281213, 148171647364256605526015933, 387918558098442626461323394, 1015584272503351755107301683, 2658834757473702629008690184, 6960921009876994167506162143, 18223930319745872055258647222, 47710874099878038582906643715, 124908700391603541305003647809, 327015244119724109439715841342, 856137066499873692998409313911, 2241396025329950497062115545053, 5868051151160972284277276290759, 15362757715036730190100641394690, 40220222574800295678990989222414, 105297911185233411081413963165892, 275673513360972644931552065226250, 721722633714498336240280326219848, 1889494397529486784432236608648466, 4946760578594564449520067884593840, 12950787378148758611410729781152267, 33905601636547509843988618839368427, 88766017694698756568530065289215683, 232392451777585508616395341687958742, 608411338305384821707931264175229913, 1592841564487730171197324609770347187, 4170113357885142340934645983231125786, 10917498514680398589049322376538921129, 28582382197297513779781743620430917508, 74829648099727177214798762234432130861, 195906562147378314308352268185355961950, 512890038434324813627197527732840468417, 1342763553341287132466047356247975754813, 3515400621964632415674414764305459917604, 9203438313310229418599849664906603169903, 24094914319496149728681864250189598801731, 63081304648268118105502052251810335341379, 165148999631547422385822609090732917576192, 432365694258971426891733804697761825820150, 1131948083170799098456457657370080084174354, 2963478555304765717786882458173094818488646
Generating function in Maple syntax:
-(11*x^9-65*x^8+195*x^7-365*x^6+447*x^5-359*x^4+189*x^3-63*x^2+12*x-1)/(x^2-3*x+1)/(2*x-1)^2/(-1+x)^6
Generating function in latex syntax:
-\frac{11 x^{9}-65 x^{8}+195 x^{7}-365 x^{6}+447 x^{5}-359 x^{4}+189 x^{3}-63 x^{2}+12 x -1}{\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(-1+x \right)^{6}}
Generating function in sympy syntax:
(-11*x**9 + 65*x**8 - 195*x**7 + 365*x**6 - 447*x**5 + 359*x**4 - 189*x**3 + 63*x**2 - 12*x + 1)/((x - 1)**6*(2*x - 1)**2*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(2*x-1)^2*(-1+x)^6*F(x)+11*x^9-65*x^8+195*x^7-365*x^6+447*x^5-359*x^4+189*x^3-63*x^2+12*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(-1+x \right)^{6} F \! \left(x \right)+11 x^{9}-65 x^{8}+195 x^{7}-365 x^{6}+447 x^{5}-359 x^{4}+189 x^{3}-63 x^{2}+12 x -1 = 0
Explicit closed form in Maple syntax:
1/120*(12*5^(1/2)+540)*(3/2-1/2*5^(1/2))^(-n)+1/120*(-12*5^(1/2)+540)*(3/2+1/2*5^(1/2))^(-n)+1/120*n^5+1/12*n^4+23/24*n^3+23/12*n^2-3*2^(-1+n)*n+391/30*n-18*2^n+10
Explicit closed form in latex syntax:
\frac{\left(12 \sqrt{5}+540\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{120}+\frac{\left(-12 \sqrt{5}+540\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{120}+\frac{n^{5}}{120}+\frac{n^{4}}{12}+\frac{23 n^{3}}{24}+\frac{23 n^{2}}{12}-3 \,2^{-1+n} n +\frac{391 n}{30}-18 \,2^{n}+10
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 22
a(5) = 86
a(6) = 330
a(7) = 1198
a(8) = 4087
a(9) = 13185
a(n+4) = -1/120*n^5-1/24*n^4-5/24*n^3+73/24*n^2-4*a(n)+16*a(n+1)-17*a(n+2)+7*a(n+3)+73/60*n+2, 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) = 22
a \! \left(5\right) = 86
a \! \left(6\right) = 330
a \! \left(7\right) = 1198
a \! \left(8\right) = 4087
a \! \left(9\right) = 13185
a \! \left(n +4\right) = -\frac{n^{5}}{120}-\frac{n^{4}}{24}-\frac{5 n^{3}}{24}+\frac{73 n^{2}}{24}-4 a \! \left(n \right)+16 a \! \left(n +1\right)-17 a \! \left(n +2\right)+7 a \! \left(n +3\right)+\frac{73 n}{60}+2, \quad n \geq 10
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/14599/
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[37,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[13,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[4,x]
F[13,x] = F[14,x]+F[7,x]
F[14,x] = F[15,x]+F[16,x]+F[35,x]
F[15,x] = 0
F[16,x] = F[17,x]*F[4,x]
F[17,x] = F[18,x]+F[22,x]
F[18,x] = F[11,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[11,x]
F[22,x] = F[14,x]+F[23,x]
F[23,x] = 2*F[15,x]+F[24,x]+F[28,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[27,x]
F[26,x] = F[19,x]
F[27,x] = F[23,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[11,x]
F[34,x] = F[30,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[30,x]+F[7,x]
F[37,x] = F[2,x]+F[38,x]
F[38,x] = F[15,x]+F[265,x]+F[39,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[41,x]+F[55,x]
F[41,x] = F[42,x]+F[7,x]
F[42,x] = F[15,x]+F[16,x]+F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[13,x]+F[45,x]
F[45,x] = F[46,x]+F[47,x]
F[46,x] = F[31,x]
F[47,x] = 2*F[15,x]+F[48,x]+F[53,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[19,x]
F[51,x] = F[52,x]
F[52,x] = 2*F[15,x]+F[28,x]+F[48,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[46,x]
F[55,x] = F[38,x]+F[56,x]
F[56,x] = F[15,x]+F[234,x]+F[262,x]+F[57,x]
F[57,x] = F[4,x]*F[58,x]
F[58,x] = F[59,x]+F[66,x]
F[59,x] = F[42,x]+F[60,x]
F[60,x] = F[15,x]+F[24,x]+F[61,x]+F[64,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[22,x]+F[63,x]
F[63,x] = F[47,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[45,x]
F[66,x] = F[56,x]+F[67,x]
F[67,x] = F[116,x]+F[15,x]+F[163,x]+F[231,x]+F[68,x]
F[68,x] = F[4,x]*F[69,x]
F[69,x] = F[70,x]+F[78,x]
F[70,x] = F[60,x]+F[71,x]
F[71,x] = F[15,x]+F[72,x]+F[73,x]+F[75,x]+F[77,x]
F[72,x] = 0
F[73,x] = F[4,x]*F[74,x]
F[74,x] = F[27,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[63,x]
F[77,x] = 0
F[78,x] = F[67,x]+F[79,x]
F[79,x] = F[100,x]+F[115,x]+F[15,x]+F[80,x]+F[84,x]+F[85,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[71,x]
F[83,x] = F[79,x]
F[84,x] = 0
F[85,x] = F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[88,x]
F[88,x] = 3*F[15,x]+F[89,x]+F[93,x]
F[89,x] = F[4,x]*F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[23,x]
F[92,x] = F[88,x]
F[93,x] = F[4,x]*F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[30,x]
F[99,x] = F[95,x]
F[100,x] = F[101,x]*F[4,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]
F[103,x] = 3*F[15,x]+F[104,x]+F[108,x]
F[104,x] = F[105,x]*F[4,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[47,x]
F[107,x] = F[103,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[4,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[46,x]
F[114,x] = F[110,x]
F[115,x] = 0
F[116,x] = F[117,x]*F[4,x]
F[117,x] = F[118,x]+F[87,x]
F[118,x] = F[119,x]
F[119,x] = 2*F[15,x]+F[120,x]+F[136,x]
F[120,x] = F[121,x]*F[4,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[19,x]+F[23,x]
F[123,x] = F[119,x]+F[124,x]
F[124,x] = 2*F[15,x]+F[116,x]+F[125,x]+F[93,x]
F[125,x] = F[126,x]*F[4,x]
F[126,x] = F[127,x]+F[129,x]
F[127,x] = F[128,x]+F[23,x]
F[128,x] = F[73,x]
F[129,x] = F[124,x]+F[130,x]
F[130,x] = 2*F[15,x]+F[131,x]+F[135,x]+F[84,x]+F[85,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[128,x]
F[134,x] = F[130,x]
F[135,x] = 0
F[136,x] = F[137,x]*F[4,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[141,x]+F[142,x]
F[141,x] = F[11,x]+F[30,x]
F[142,x] = F[138,x]+F[143,x]
F[143,x] = 2*F[15,x]+F[144,x]+F[160,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[146,x]+F[150,x]
F[146,x] = F[147,x]+F[30,x]
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[4,x]
F[149,x] = F[34,x]
F[150,x] = F[143,x]+F[151,x]
F[151,x] = 2*F[15,x]+F[152,x]+F[156,x]+F[157,x]
F[152,x] = F[153,x]*F[4,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[147,x]
F[155,x] = F[151,x]
F[156,x] = 0
F[157,x] = F[158,x]*F[4,x]
F[158,x] = F[159,x]
F[159,x] = F[95,x]
F[160,x] = F[161,x]*F[4,x]
F[161,x] = F[159,x]+F[162,x]
F[162,x] = F[138,x]
F[163,x] = F[164,x]*F[4,x]
F[164,x] = F[102,x]+F[165,x]
F[165,x] = F[166,x]+F[88,x]
F[166,x] = 2*F[15,x]+F[167,x]+F[213,x]
F[167,x] = F[168,x]*F[4,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[14,x]+F[47,x]
F[170,x] = F[166,x]+F[171,x]
F[171,x] = 2*F[15,x]+F[108,x]+F[172,x]+F[194,x]
F[172,x] = F[173,x]*F[4,x]
F[173,x] = F[174,x]+F[178,x]
F[174,x] = F[175,x]+F[47,x]
F[175,x] = F[176,x]
F[176,x] = F[177,x]*F[4,x]
F[177,x] = F[51,x]
F[178,x] = F[171,x]+F[179,x]
F[179,x] = 2*F[15,x]+F[180,x]+F[184,x]+F[185,x]+F[193,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[175,x]
F[183,x] = F[179,x]
F[184,x] = 0
F[185,x] = F[186,x]*F[4,x]
F[186,x] = F[187,x]
F[187,x] = F[188,x]
F[188,x] = 3*F[15,x]+F[189,x]+F[93,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[192,x]
F[191,x] = F[52,x]
F[192,x] = F[188,x]
F[193,x] = 0
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[187,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = 2*F[15,x]+F[136,x]+F[198,x]
F[198,x] = F[199,x]*F[4,x]
F[199,x] = F[200,x]+F[201,x]
F[200,x] = F[19,x]+F[52,x]
F[201,x] = F[197,x]+F[202,x]
F[202,x] = 2*F[15,x]+F[194,x]+F[203,x]+F[93,x]
F[203,x] = F[204,x]*F[4,x]
F[204,x] = F[205,x]+F[207,x]
F[205,x] = F[206,x]+F[52,x]
F[206,x] = F[176,x]
F[207,x] = F[202,x]+F[208,x]
F[208,x] = 2*F[15,x]+F[135,x]+F[184,x]+F[185,x]+F[209,x]
F[209,x] = F[210,x]*F[4,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[206,x]
F[212,x] = F[208,x]
F[213,x] = F[214,x]*F[4,x]
F[214,x] = F[215,x]+F[95,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]*F[4,x]
F[217,x] = F[218,x]+F[219,x]
F[218,x] = F[46,x]+F[7,x]
F[219,x] = F[215,x]+F[220,x]
F[220,x] = 2*F[15,x]+F[160,x]+F[221,x]
F[221,x] = F[222,x]*F[4,x]
F[222,x] = F[223,x]+F[225,x]
F[223,x] = F[224,x]+F[46,x]
F[224,x] = F[148,x]
F[225,x] = F[220,x]+F[226,x]
F[226,x] = 2*F[15,x]+F[156,x]+F[157,x]+F[227,x]
F[227,x] = F[228,x]*F[4,x]
F[228,x] = F[229,x]+F[230,x]
F[229,x] = F[224,x]
F[230,x] = F[226,x]
F[231,x] = F[232,x]*F[4,x]
F[232,x] = F[233,x]
F[233,x] = F[103,x]+F[110,x]
F[234,x] = F[235,x]*F[4,x]
F[235,x] = F[165,x]+F[236,x]
F[236,x] = F[119,x]+F[237,x]
F[237,x] = F[15,x]+F[238,x]+F[260,x]
F[238,x] = F[239,x]*F[4,x]
F[239,x] = F[240,x]+F[241,x]
F[240,x] = F[11,x]+F[14,x]
F[241,x] = F[237,x]+F[242,x]
F[242,x] = F[15,x]+F[213,x]+F[234,x]+F[243,x]
F[243,x] = F[244,x]*F[4,x]
F[244,x] = F[245,x]+F[247,x]
F[245,x] = F[14,x]+F[246,x]
F[246,x] = F[15,x]+F[24,x]+F[53,x]+F[61,x]
F[247,x] = F[242,x]+F[248,x]
F[248,x] = F[108,x]+F[116,x]+F[15,x]+F[163,x]+F[249,x]
F[249,x] = F[250,x]*F[4,x]
F[250,x] = F[251,x]+F[254,x]
F[251,x] = F[246,x]+F[252,x]
F[252,x] = F[15,x]+F[253,x]+F[72,x]+F[73,x]+F[75,x]
F[253,x] = 0
F[254,x] = F[248,x]+F[255,x]
F[255,x] = F[100,x]+F[15,x]+F[193,x]+F[256,x]+F[84,x]+F[85,x]
F[256,x] = F[257,x]*F[4,x]
F[257,x] = F[258,x]+F[259,x]
F[258,x] = F[252,x]
F[259,x] = F[255,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = F[138,x]+F[2,x]
F[262,x] = F[263,x]*F[4,x]
F[263,x] = F[233,x]+F[264,x]
F[264,x] = F[166,x]+F[215,x]
F[265,x] = F[266,x]*F[4,x]
F[266,x] = F[264,x]+F[267,x]
F[267,x] = F[2,x]+F[237,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_{37}\! \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_{13}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{7}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{35}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right)
F_{22}\! \left(x \right) = F_{14}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{24}\! \left(x \right)+F_{28}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{19}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \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_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{11}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)+F_{7}\! \left(x \right)
F_{37}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right)+F_{265}\! \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_{55}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{7}\! \left(x \right)
F_{42}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \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_{13}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)
F_{46}\! \left(x \right) = F_{31}\! \left(x \right)
F_{47}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{48}\! \left(x \right)+F_{53}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{19}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{28}\! \left(x \right)+F_{48}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{46}\! \left(x \right)
F_{55}\! \left(x \right) = F_{38}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{15}\! \left(x \right)+F_{234}\! \left(x \right)+F_{262}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{66}\! \left(x \right)
F_{59}\! \left(x \right) = F_{42}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{15}\! \left(x \right)+F_{24}\! \left(x \right)+F_{61}\! \left(x \right)+F_{64}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{22}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{47}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{45}\! \left(x \right)
F_{66}\! \left(x \right) = F_{56}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{116}\! \left(x \right)+F_{15}\! \left(x \right)+F_{163}\! \left(x \right)+F_{231}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{78}\! \left(x \right)
F_{70}\! \left(x \right) = F_{60}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{15}\! \left(x \right)+F_{72}\! \left(x \right)+F_{73}\! \left(x \right)+F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{72}\! \left(x \right) = 0
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{27}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{63}\! \left(x \right)
F_{77}\! \left(x \right) = 0
F_{78}\! \left(x \right) = F_{67}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{100}\! \left(x \right)+F_{115}\! \left(x \right)+F_{15}\! \left(x \right)+F_{80}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{71}\! \left(x \right)
F_{83}\! \left(x \right) = F_{79}\! \left(x \right)
F_{84}\! \left(x \right) = 0
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = 3 F_{15}\! \left(x \right)+F_{89}\! \left(x \right)+F_{93}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{23}\! \left(x \right)
F_{92}\! \left(x \right) = F_{88}\! \left(x \right)
F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{30}\! \left(x \right)
F_{99}\! \left(x \right) = F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = 3 F_{15}\! \left(x \right)+F_{104}\! \left(x \right)+F_{108}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{107}\! \left(x \right)
F_{106}\! \left(x \right) = F_{47}\! \left(x \right)
F_{107}\! \left(x \right) = F_{103}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{46}\! \left(x \right)
F_{114}\! \left(x \right) = F_{110}\! \left(x \right)
F_{115}\! \left(x \right) = 0
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{87}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{120}\! \left(x \right)+F_{136}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{19}\! \left(x \right)+F_{23}\! \left(x \right)
F_{123}\! \left(x \right) = F_{119}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{116}\! \left(x \right)+F_{125}\! \left(x \right)+F_{93}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{4}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{129}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{23}\! \left(x \right)
F_{128}\! \left(x \right) = F_{73}\! \left(x \right)
F_{129}\! \left(x \right) = F_{124}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{131}\! \left(x \right)+F_{135}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{128}\! \left(x \right)
F_{134}\! \left(x \right) = F_{130}\! \left(x \right)
F_{135}\! \left(x \right) = 0
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{4}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{142}\! \left(x \right)
F_{141}\! \left(x \right) = F_{11}\! \left(x \right)+F_{30}\! \left(x \right)
F_{142}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{144}\! \left(x \right)+F_{160}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{150}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{30}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)
F_{149}\! \left(x \right) = F_{34}\! \left(x \right)
F_{150}\! \left(x \right) = F_{143}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{152}\! \left(x \right)+F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{4}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{147}\! \left(x \right)
F_{155}\! \left(x \right) = F_{151}\! \left(x \right)
F_{156}\! \left(x \right) = 0
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{95}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right)
F_{161}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{138}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{102}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{88}\! \left(x \right)
F_{166}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{167}\! \left(x \right)+F_{213}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{4}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{14}\! \left(x \right)+F_{47}\! \left(x \right)
F_{170}\! \left(x \right) = F_{166}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{108}\! \left(x \right)+F_{172}\! \left(x \right)+F_{194}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{178}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{47}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{177}\! \left(x \right) = F_{51}\! \left(x \right)
F_{178}\! \left(x \right) = F_{171}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{180}\! \left(x \right)+F_{184}\! \left(x \right)+F_{185}\! \left(x \right)+F_{193}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{175}\! \left(x \right)
F_{183}\! \left(x \right) = F_{179}\! \left(x \right)
F_{184}\! \left(x \right) = 0
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{4}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = 3 F_{15}\! \left(x \right)+F_{189}\! \left(x \right)+F_{93}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{192}\! \left(x \right)
F_{191}\! \left(x \right) = F_{52}\! \left(x \right)
F_{192}\! \left(x \right) = F_{188}\! \left(x \right)
F_{193}\! \left(x \right) = 0
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{187}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{136}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{4}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{201}\! \left(x \right)
F_{200}\! \left(x \right) = F_{19}\! \left(x \right)+F_{52}\! \left(x \right)
F_{201}\! \left(x \right) = F_{197}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{194}\! \left(x \right)+F_{203}\! \left(x \right)+F_{93}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{4}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{207}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{52}\! \left(x \right)
F_{206}\! \left(x \right) = F_{176}\! \left(x \right)
F_{207}\! \left(x \right) = F_{202}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{135}\! \left(x \right)+F_{184}\! \left(x \right)+F_{185}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{206}\! \left(x \right)
F_{212}\! \left(x \right) = F_{208}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{95}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{219}\! \left(x \right)
F_{218}\! \left(x \right) = F_{46}\! \left(x \right)+F_{7}\! \left(x \right)
F_{219}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{160}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{225}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{46}\! \left(x \right)
F_{224}\! \left(x \right) = F_{148}\! \left(x \right)
F_{225}\! \left(x \right) = F_{220}\! \left(x \right)+F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{156}\! \left(x \right)+F_{157}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right) F_{4}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{230}\! \left(x \right)
F_{229}\! \left(x \right) = F_{224}\! \left(x \right)
F_{230}\! \left(x \right) = F_{226}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right) F_{4}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{103}\! \left(x \right)+F_{110}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right) F_{4}\! \left(x \right)
F_{235}\! \left(x \right) = F_{165}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{119}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{15}\! \left(x \right)+F_{238}\! \left(x \right)+F_{260}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{4}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = F_{11}\! \left(x \right)+F_{14}\! \left(x \right)
F_{241}\! \left(x \right) = F_{237}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{15}\! \left(x \right)+F_{213}\! \left(x \right)+F_{234}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right) F_{4}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{247}\! \left(x \right)
F_{245}\! \left(x \right) = F_{14}\! \left(x \right)+F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{15}\! \left(x \right)+F_{24}\! \left(x \right)+F_{53}\! \left(x \right)+F_{61}\! \left(x \right)
F_{247}\! \left(x \right) = F_{242}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{108}\! \left(x \right)+F_{116}\! \left(x \right)+F_{15}\! \left(x \right)+F_{163}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{254}\! \left(x \right)
F_{251}\! \left(x \right) = F_{246}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{15}\! \left(x \right)+F_{253}\! \left(x \right)+F_{72}\! \left(x \right)+F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{253}\! \left(x \right) = 0
F_{254}\! \left(x \right) = F_{248}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{100}\! \left(x \right)+F_{15}\! \left(x \right)+F_{193}\! \left(x \right)+F_{256}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right) F_{4}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{259}\! \left(x \right)
F_{258}\! \left(x \right) = F_{252}\! \left(x \right)
F_{259}\! \left(x \right) = F_{255}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{138}\! \left(x \right)+F_{2}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{263}\! \left(x \right) = F_{233}\! \left(x \right)+F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{166}\! \left(x \right)+F_{215}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{4}\! \left(x \right)
F_{266}\! \left(x \right) = F_{264}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{2}\! \left(x \right)+F_{237}\! \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_37(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_13(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_7(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_35(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_22(x))
Eq(F_18(x), F_11(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_11(x))
Eq(F_22(x), F_14(x) + F_23(x))
Eq(F_23(x), 2*F_15(x) + F_24(x) + F_28(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_27(x))
Eq(F_26(x), F_19(x))
Eq(F_27(x), F_23(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_11(x))
Eq(F_34(x), F_30(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_30(x) + F_7(x))
Eq(F_37(x), F_2(x) + F_38(x))
Eq(F_38(x), F_15(x) + F_265(x) + F_39(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_55(x))
Eq(F_41(x), F_42(x) + F_7(x))
Eq(F_42(x), F_15(x) + F_16(x) + F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_13(x) + F_45(x))
Eq(F_45(x), F_46(x) + F_47(x))
Eq(F_46(x), F_31(x))
Eq(F_47(x), 2*F_15(x) + F_48(x) + F_53(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_19(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), 2*F_15(x) + F_28(x) + F_48(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_46(x))
Eq(F_55(x), F_38(x) + F_56(x))
Eq(F_56(x), F_15(x) + F_234(x) + F_262(x) + F_57(x))
Eq(F_57(x), F_4(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_66(x))
Eq(F_59(x), F_42(x) + F_60(x))
Eq(F_60(x), F_15(x) + F_24(x) + F_61(x) + F_64(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_22(x) + F_63(x))
Eq(F_63(x), F_47(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_45(x))
Eq(F_66(x), F_56(x) + F_67(x))
Eq(F_67(x), F_116(x) + F_15(x) + F_163(x) + F_231(x) + F_68(x))
Eq(F_68(x), F_4(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_78(x))
Eq(F_70(x), F_60(x) + F_71(x))
Eq(F_71(x), F_15(x) + F_72(x) + F_73(x) + F_75(x) + F_77(x))
Eq(F_72(x), 0)
Eq(F_73(x), F_4(x)*F_74(x))
Eq(F_74(x), F_27(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_63(x))
Eq(F_77(x), 0)
Eq(F_78(x), F_67(x) + F_79(x))
Eq(F_79(x), F_100(x) + F_115(x) + F_15(x) + F_80(x) + F_84(x) + F_85(x))
Eq(F_80(x), F_4(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_71(x))
Eq(F_83(x), F_79(x))
Eq(F_84(x), 0)
Eq(F_85(x), F_4(x)*F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), 3*F_15(x) + F_89(x) + F_93(x))
Eq(F_89(x), F_4(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_23(x))
Eq(F_92(x), F_88(x))
Eq(F_93(x), F_4(x)*F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_30(x))
Eq(F_99(x), F_95(x))
Eq(F_100(x), F_101(x)*F_4(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) + F_108(x) + 3*F_15(x))
Eq(F_104(x), F_105(x)*F_4(x))
Eq(F_105(x), F_106(x) + F_107(x))
Eq(F_106(x), F_47(x))
Eq(F_107(x), F_103(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_4(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_46(x))
Eq(F_114(x), F_110(x))
Eq(F_115(x), 0)
Eq(F_116(x), F_117(x)*F_4(x))
Eq(F_117(x), F_118(x) + F_87(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) + F_136(x) + 2*F_15(x))
Eq(F_120(x), F_121(x)*F_4(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_19(x) + F_23(x))
Eq(F_123(x), F_119(x) + F_124(x))
Eq(F_124(x), F_116(x) + F_125(x) + 2*F_15(x) + F_93(x))
Eq(F_125(x), F_126(x)*F_4(x))
Eq(F_126(x), F_127(x) + F_129(x))
Eq(F_127(x), F_128(x) + F_23(x))
Eq(F_128(x), F_73(x))
Eq(F_129(x), F_124(x) + F_130(x))
Eq(F_130(x), F_131(x) + F_135(x) + 2*F_15(x) + F_84(x) + F_85(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_128(x))
Eq(F_134(x), F_130(x))
Eq(F_135(x), 0)
Eq(F_136(x), F_137(x)*F_4(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_141(x) + F_142(x))
Eq(F_141(x), F_11(x) + F_30(x))
Eq(F_142(x), F_138(x) + F_143(x))
Eq(F_143(x), F_144(x) + 2*F_15(x) + F_160(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_146(x) + F_150(x))
Eq(F_146(x), F_147(x) + F_30(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_4(x))
Eq(F_149(x), F_34(x))
Eq(F_150(x), F_143(x) + F_151(x))
Eq(F_151(x), 2*F_15(x) + F_152(x) + F_156(x) + F_157(x))
Eq(F_152(x), F_153(x)*F_4(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_147(x))
Eq(F_155(x), F_151(x))
Eq(F_156(x), 0)
Eq(F_157(x), F_158(x)*F_4(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_95(x))
Eq(F_160(x), F_161(x)*F_4(x))
Eq(F_161(x), F_159(x) + F_162(x))
Eq(F_162(x), F_138(x))
Eq(F_163(x), F_164(x)*F_4(x))
Eq(F_164(x), F_102(x) + F_165(x))
Eq(F_165(x), F_166(x) + F_88(x))
Eq(F_166(x), 2*F_15(x) + F_167(x) + F_213(x))
Eq(F_167(x), F_168(x)*F_4(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_14(x) + F_47(x))
Eq(F_170(x), F_166(x) + F_171(x))
Eq(F_171(x), F_108(x) + 2*F_15(x) + F_172(x) + F_194(x))
Eq(F_172(x), F_173(x)*F_4(x))
Eq(F_173(x), F_174(x) + F_178(x))
Eq(F_174(x), F_175(x) + F_47(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x)*F_4(x))
Eq(F_177(x), F_51(x))
Eq(F_178(x), F_171(x) + F_179(x))
Eq(F_179(x), 2*F_15(x) + F_180(x) + F_184(x) + F_185(x) + F_193(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_175(x))
Eq(F_183(x), F_179(x))
Eq(F_184(x), 0)
Eq(F_185(x), F_186(x)*F_4(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), 3*F_15(x) + F_189(x) + F_93(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_192(x))
Eq(F_191(x), F_52(x))
Eq(F_192(x), F_188(x))
Eq(F_193(x), 0)
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_187(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_136(x) + 2*F_15(x) + F_198(x))
Eq(F_198(x), F_199(x)*F_4(x))
Eq(F_199(x), F_200(x) + F_201(x))
Eq(F_200(x), F_19(x) + F_52(x))
Eq(F_201(x), F_197(x) + F_202(x))
Eq(F_202(x), 2*F_15(x) + F_194(x) + F_203(x) + F_93(x))
Eq(F_203(x), F_204(x)*F_4(x))
Eq(F_204(x), F_205(x) + F_207(x))
Eq(F_205(x), F_206(x) + F_52(x))
Eq(F_206(x), F_176(x))
Eq(F_207(x), F_202(x) + F_208(x))
Eq(F_208(x), F_135(x) + 2*F_15(x) + F_184(x) + F_185(x) + F_209(x))
Eq(F_209(x), F_210(x)*F_4(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_206(x))
Eq(F_212(x), F_208(x))
Eq(F_213(x), F_214(x)*F_4(x))
Eq(F_214(x), F_215(x) + F_95(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x)*F_4(x))
Eq(F_217(x), F_218(x) + F_219(x))
Eq(F_218(x), F_46(x) + F_7(x))
Eq(F_219(x), F_215(x) + F_220(x))
Eq(F_220(x), 2*F_15(x) + F_160(x) + F_221(x))
Eq(F_221(x), F_222(x)*F_4(x))
Eq(F_222(x), F_223(x) + F_225(x))
Eq(F_223(x), F_224(x) + F_46(x))
Eq(F_224(x), F_148(x))
Eq(F_225(x), F_220(x) + F_226(x))
Eq(F_226(x), 2*F_15(x) + F_156(x) + F_157(x) + F_227(x))
Eq(F_227(x), F_228(x)*F_4(x))
Eq(F_228(x), F_229(x) + F_230(x))
Eq(F_229(x), F_224(x))
Eq(F_230(x), F_226(x))
Eq(F_231(x), F_232(x)*F_4(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_103(x) + F_110(x))
Eq(F_234(x), F_235(x)*F_4(x))
Eq(F_235(x), F_165(x) + F_236(x))
Eq(F_236(x), F_119(x) + F_237(x))
Eq(F_237(x), F_15(x) + F_238(x) + F_260(x))
Eq(F_238(x), F_239(x)*F_4(x))
Eq(F_239(x), F_240(x) + F_241(x))
Eq(F_240(x), F_11(x) + F_14(x))
Eq(F_241(x), F_237(x) + F_242(x))
Eq(F_242(x), F_15(x) + F_213(x) + F_234(x) + F_243(x))
Eq(F_243(x), F_244(x)*F_4(x))
Eq(F_244(x), F_245(x) + F_247(x))
Eq(F_245(x), F_14(x) + F_246(x))
Eq(F_246(x), F_15(x) + F_24(x) + F_53(x) + F_61(x))
Eq(F_247(x), F_242(x) + F_248(x))
Eq(F_248(x), F_108(x) + F_116(x) + F_15(x) + F_163(x) + F_249(x))
Eq(F_249(x), F_250(x)*F_4(x))
Eq(F_250(x), F_251(x) + F_254(x))
Eq(F_251(x), F_246(x) + F_252(x))
Eq(F_252(x), F_15(x) + F_253(x) + F_72(x) + F_73(x) + F_75(x))
Eq(F_253(x), 0)
Eq(F_254(x), F_248(x) + F_255(x))
Eq(F_255(x), F_100(x) + F_15(x) + F_193(x) + F_256(x) + F_84(x) + F_85(x))
Eq(F_256(x), F_257(x)*F_4(x))
Eq(F_257(x), F_258(x) + F_259(x))
Eq(F_258(x), F_252(x))
Eq(F_259(x), F_255(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_138(x) + F_2(x))
Eq(F_262(x), F_263(x)*F_4(x))
Eq(F_263(x), F_233(x) + F_264(x))
Eq(F_264(x), F_166(x) + F_215(x))
Eq(F_265(x), F_266(x)*F_4(x))
Eq(F_266(x), F_264(x) + F_267(x))
Eq(F_267(x), F_2(x) + F_237(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:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 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"pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 1], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 1], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 1], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 3], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 2], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 2], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 3], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 5]]}, {"patt": [2, 1, 0], "pos": [[1, 5], [1, 5], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 5], [1, 5], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 5], [1, 5], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 5], [1, 5], [1, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 5], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 5], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 3], [1, 5], [1, 3], [1, 3]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[1, 2]]}]]}, "rule_class": "VerificationRule", "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: regular_insertion_encoding_bottom
Tree: http://permpal.com/tree/14600/
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[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[36,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[13,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[1,x]+F[6,x]
F[10,x] = F[11,x]+F[15,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[14,x]
F[13,x] = x
F[14,x] = F[1,x]+F[11,x]
F[15,x] = F[16,x]+F[17,x]+F[19,x]
F[16,x] = 0
F[17,x] = F[13,x]*F[18,x]
F[18,x] = F[15,x]+F[6,x]
F[19,x] = F[13,x]*F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[11,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[13,x]*F[24,x]
F[24,x] = F[21,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[27,x]
F[27,x] = F[13,x]*F[28,x]
F[28,x] = F[11,x]+F[26,x]
F[29,x] = F[30,x]
F[30,x] = F[13,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[26,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[13,x]*F[35,x]
F[35,x] = F[32,x]
F[36,x] = F[16,x]+F[325,x]+F[37,x]
F[37,x] = F[13,x]*F[38,x]
F[38,x] = F[39,x]+F[40,x]
F[39,x] = F[2,x]+F[36,x]
F[40,x] = F[186,x]+F[41,x]
F[41,x] = F[16,x]+F[42,x]+F[44,x]
F[42,x] = F[13,x]*F[43,x]
F[43,x] = F[2,x]+F[41,x]
F[44,x] = F[13,x]*F[45,x]
F[45,x] = F[46,x]+F[73,x]
F[46,x] = F[11,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[13,x]*F[49,x]
F[49,x] = F[46,x]+F[50,x]
F[50,x] = F[22,x]+F[51,x]
F[51,x] = 2*F[16,x]+F[52,x]+F[55,x]
F[52,x] = F[13,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[47,x]+F[51,x]
F[55,x] = F[13,x]*F[56,x]
F[56,x] = F[57,x]+F[61,x]
F[57,x] = F[22,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[13,x]*F[60,x]
F[60,x] = F[57,x]
F[61,x] = F[62,x]+F[66,x]
F[62,x] = F[63,x]
F[63,x] = F[13,x]*F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[22,x]+F[62,x]
F[66,x] = F[67,x]
F[67,x] = F[13,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[62,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[13,x]*F[72,x]
F[72,x] = F[69,x]
F[73,x] = F[15,x]+F[74,x]
F[74,x] = 2*F[16,x]+F[141,x]+F[75,x]
F[75,x] = F[13,x]*F[76,x]
F[76,x] = F[54,x]+F[77,x]
F[77,x] = F[129,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[13,x]*F[80,x]
F[80,x] = F[108,x]+F[81,x]
F[81,x] = F[26,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[13,x]*F[84,x]
F[84,x] = F[81,x]+F[85,x]
F[85,x] = F[33,x]+F[86,x]
F[86,x] = 3*F[16,x]+F[87,x]+F[90,x]
F[87,x] = F[13,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[82,x]+F[86,x]
F[90,x] = F[13,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[33,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[13,x]*F[95,x]
F[95,x] = F[92,x]
F[96,x] = F[101,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[13,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[33,x]+F[97,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[13,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]+F[97,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[13,x]
F[107,x] = F[104,x]
F[108,x] = F[109,x]+F[29,x]
F[109,x] = 3*F[16,x]+F[110,x]+F[112,x]
F[110,x] = F[111,x]*F[13,x]
F[111,x] = F[89,x]
F[112,x] = F[113,x]*F[13,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]+F[29,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[13,x]
F[117,x] = F[114,x]
F[118,x] = F[119,x]+F[122,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[13,x]
F[121,x] = F[100,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[13,x]
F[124,x] = F[125,x]
F[125,x] = F[119,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[13,x]
F[128,x] = F[125,x]
F[129,x] = 3*F[16,x]+F[110,x]+F[130,x]
F[130,x] = F[13,x]*F[131,x]
F[131,x] = F[114,x]+F[132,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[120,x]
F[134,x] = F[135,x]
F[135,x] = F[13,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[133,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[13,x]*F[140,x]
F[140,x] = F[137,x]
F[141,x] = F[13,x]*F[142,x]
F[142,x] = F[143,x]+F[165,x]
F[143,x] = F[144,x]+F[15,x]
F[144,x] = F[145,x]
F[145,x] = F[13,x]*F[146,x]
F[146,x] = F[143,x]+F[147,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[34,x]
F[149,x] = 3*F[16,x]+F[150,x]+F[87,x]
F[150,x] = F[13,x]*F[151,x]
F[151,x] = F[152,x]+F[156,x]
F[152,x] = F[148,x]+F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[13,x]*F[155,x]
F[155,x] = F[152,x]
F[156,x] = F[157,x]+F[158,x]
F[157,x] = F[98,x]
F[158,x] = F[159,x]
F[159,x] = F[13,x]*F[160,x]
F[160,x] = F[161,x]
F[161,x] = F[157,x]+F[162,x]
F[162,x] = F[163,x]
F[163,x] = F[13,x]*F[164,x]
F[164,x] = F[161,x]
F[165,x] = F[166,x]+F[170,x]
F[166,x] = 2*F[16,x]+F[167,x]+F[30,x]
F[167,x] = F[13,x]*F[168,x]
F[168,x] = F[169,x]+F[65,x]
F[169,x] = F[133,x]+F[29,x]
F[170,x] = 3*F[16,x]+F[110,x]+F[171,x]
F[171,x] = F[13,x]*F[172,x]
F[172,x] = F[173,x]+F[177,x]
F[173,x] = F[166,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[13,x]*F[176,x]
F[176,x] = F[173,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[120,x]
F[179,x] = F[180,x]
F[180,x] = F[13,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = F[178,x]+F[183,x]
F[183,x] = F[184,x]
F[184,x] = F[13,x]*F[185,x]
F[185,x] = F[182,x]
F[186,x] = F[16,x]+F[187,x]+F[189,x]+F[75,x]
F[187,x] = F[13,x]*F[188,x]
F[188,x] = F[186,x]+F[36,x]
F[189,x] = F[13,x]*F[190,x]
F[190,x] = F[143,x]+F[191,x]
F[191,x] = F[192,x]+F[213,x]
F[192,x] = F[16,x]+F[167,x]+F[193,x]+F[200,x]
F[193,x] = F[13,x]*F[194,x]
F[194,x] = F[192,x]+F[195,x]
F[195,x] = F[16,x]+F[19,x]+F[196,x]
F[196,x] = F[13,x]*F[197,x]
F[197,x] = F[198,x]+F[199,x]
F[198,x] = F[195,x]+F[6,x]
F[199,x] = F[15,x]+F[192,x]
F[200,x] = F[13,x]*F[201,x]
F[201,x] = F[202,x]+F[32,x]
F[202,x] = F[203,x]+F[206,x]
F[203,x] = F[204,x]
F[204,x] = F[13,x]*F[205,x]
F[205,x] = F[203,x]+F[26,x]
F[206,x] = F[207,x]
F[207,x] = F[13,x]*F[208,x]
F[208,x] = F[209,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[211,x]
F[211,x] = F[13,x]*F[212,x]
F[212,x] = F[209,x]
F[213,x] = 3*F[16,x]+F[214,x]+F[280,x]
F[214,x] = F[13,x]*F[215,x]
F[215,x] = F[216,x]+F[89,x]
F[216,x] = F[217,x]+F[268,x]
F[217,x] = F[218,x]
F[218,x] = F[13,x]*F[219,x]
F[219,x] = F[220,x]+F[247,x]
F[220,x] = F[203,x]+F[221,x]
F[221,x] = F[222,x]
F[222,x] = F[13,x]*F[223,x]
F[223,x] = F[220,x]+F[224,x]
F[224,x] = F[210,x]+F[225,x]
F[225,x] = 4*F[16,x]+F[226,x]+F[229,x]
F[226,x] = F[13,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[221,x]+F[225,x]
F[229,x] = F[13,x]*F[230,x]
F[230,x] = F[231,x]+F[235,x]
F[231,x] = F[210,x]+F[232,x]
F[232,x] = F[233,x]
F[233,x] = F[13,x]*F[234,x]
F[234,x] = F[231,x]
F[235,x] = F[236,x]+F[240,x]
F[236,x] = F[237,x]
F[237,x] = F[13,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = F[210,x]+F[236,x]
F[240,x] = F[241,x]
F[241,x] = F[13,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[236,x]+F[244,x]
F[244,x] = F[245,x]
F[245,x] = F[13,x]*F[246,x]
F[246,x] = F[243,x]
F[247,x] = F[206,x]+F[248,x]
F[248,x] = 4*F[16,x]+F[249,x]+F[251,x]
F[249,x] = F[13,x]*F[250,x]
F[250,x] = F[228,x]
F[251,x] = F[13,x]*F[252,x]
F[252,x] = F[253,x]+F[257,x]
F[253,x] = F[206,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[13,x]*F[256,x]
F[256,x] = F[253,x]
F[257,x] = F[258,x]+F[261,x]
F[258,x] = F[259,x]
F[259,x] = F[13,x]*F[260,x]
F[260,x] = F[239,x]
F[261,x] = F[262,x]
F[262,x] = F[13,x]*F[263,x]
F[263,x] = F[264,x]
F[264,x] = F[258,x]+F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[13,x]*F[267,x]
F[267,x] = F[264,x]
F[268,x] = 4*F[16,x]+F[249,x]+F[269,x]
F[269,x] = F[13,x]*F[270,x]
F[270,x] = F[253,x]+F[271,x]
F[271,x] = F[272,x]+F[273,x]
F[272,x] = F[259,x]
F[273,x] = F[274,x]
F[274,x] = F[13,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[272,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[13,x]*F[279,x]
F[279,x] = F[276,x]
F[280,x] = F[13,x]*F[281,x]
F[281,x] = F[282,x]+F[304,x]
F[282,x] = F[192,x]+F[283,x]
F[283,x] = F[284,x]
F[284,x] = F[13,x]*F[285,x]
F[285,x] = F[282,x]+F[286,x]
F[286,x] = F[287,x]+F[288,x]
F[287,x] = F[211,x]
F[288,x] = 4*F[16,x]+F[226,x]+F[289,x]
F[289,x] = F[13,x]*F[290,x]
F[290,x] = F[291,x]+F[295,x]
F[291,x] = F[287,x]+F[292,x]
F[292,x] = F[293,x]
F[293,x] = F[13,x]*F[294,x]
F[294,x] = F[291,x]
F[295,x] = F[296,x]+F[297,x]
F[296,x] = F[237,x]
F[297,x] = F[298,x]
F[298,x] = F[13,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[296,x]+F[301,x]
F[301,x] = F[302,x]
F[302,x] = F[13,x]*F[303,x]
F[303,x] = F[300,x]
F[304,x] = F[305,x]+F[309,x]
F[305,x] = 3*F[16,x]+F[207,x]+F[306,x]
F[306,x] = F[13,x]*F[307,x]
F[307,x] = F[100,x]+F[308,x]
F[308,x] = F[206,x]+F[272,x]
F[309,x] = 4*F[16,x]+F[249,x]+F[310,x]
F[310,x] = F[13,x]*F[311,x]
F[311,x] = F[312,x]+F[316,x]
F[312,x] = F[305,x]+F[313,x]
F[313,x] = F[314,x]
F[314,x] = F[13,x]*F[315,x]
F[315,x] = F[312,x]
F[316,x] = F[317,x]+F[318,x]
F[317,x] = F[259,x]
F[318,x] = F[319,x]
F[319,x] = F[13,x]*F[320,x]
F[320,x] = F[321,x]
F[321,x] = F[317,x]+F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[13,x]*F[324,x]
F[324,x] = F[321,x]
F[325,x] = F[13,x]*F[326,x]
F[326,x] = F[327,x]+F[349,x]
F[327,x] = F[328,x]+F[6,x]
F[328,x] = F[329,x]
F[329,x] = F[13,x]*F[330,x]
F[330,x] = F[327,x]+F[331,x]
F[331,x] = F[332,x]+F[333,x]
F[332,x] = F[23,x]
F[333,x] = 2*F[16,x]+F[334,x]+F[52,x]
F[334,x] = F[13,x]*F[335,x]
F[335,x] = F[336,x]+F[340,x]
F[336,x] = F[332,x]+F[337,x]
F[337,x] = F[338,x]
F[338,x] = F[13,x]*F[339,x]
F[339,x] = F[336,x]
F[340,x] = F[341,x]+F[342,x]
F[341,x] = F[63,x]
F[342,x] = F[343,x]
F[343,x] = F[13,x]*F[344,x]
F[344,x] = F[345,x]
F[345,x] = F[341,x]+F[346,x]
F[346,x] = F[347,x]
F[347,x] = F[13,x]*F[348,x]
F[348,x] = F[345,x]
F[349,x] = F[195,x]+F[350,x]
F[350,x] = 2*F[16,x]+F[351,x]+F[75,x]
F[351,x] = F[13,x]*F[352,x]
F[352,x] = F[353,x]+F[375,x]
F[353,x] = F[195,x]+F[354,x]
F[354,x] = F[355,x]
F[355,x] = F[13,x]*F[356,x]
F[356,x] = F[353,x]+F[357,x]
F[357,x] = F[358,x]+F[359,x]
F[358,x] = F[34,x]
F[359,x] = 3*F[16,x]+F[360,x]+F[87,x]
F[360,x] = F[13,x]*F[361,x]
F[361,x] = F[362,x]+F[366,x]
F[362,x] = F[358,x]+F[363,x]
F[363,x] = F[364,x]
F[364,x] = F[13,x]*F[365,x]
F[365,x] = F[362,x]
F[366,x] = F[367,x]+F[368,x]
F[367,x] = F[98,x]
F[368,x] = F[369,x]
F[369,x] = F[13,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = F[367,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = F[13,x]*F[374,x]
F[374,x] = F[371,x]
F[375,x] = F[376,x]+F[377,x]
F[376,x] = 2*F[16,x]+F[167,x]+F[30,x]
F[377,x] = 3*F[16,x]+F[110,x]+F[378,x]
F[378,x] = F[13,x]*F[379,x]
F[379,x] = F[380,x]+F[384,x]
F[380,x] = F[376,x]+F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[13,x]*F[383,x]
F[383,x] = F[380,x]
F[384,x] = F[385,x]+F[386,x]
F[385,x] = F[120,x]
F[386,x] = F[387,x]
F[387,x] = F[13,x]*F[388,x]
F[388,x] = F[389,x]
F[389,x] = F[385,x]+F[390,x]
F[390,x] = F[391,x]
F[391,x] = F[13,x]*F[392,x]
F[392,x] = F[389,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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{36}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{13}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = 0
F_{17}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right)+F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{13}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right)+F_{26}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{13}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{26}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{13}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{32}\! \left(x \right)
F_{36}\! \left(x \right) = F_{16}\! \left(x \right)+F_{325}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{13}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{40}\! \left(x \right) = F_{186}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{16}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)
F_{42}\! \left(x \right) = F_{13}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{13}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{73}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{46}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{22}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{13}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{47}\! \left(x \right)+F_{51}\! \left(x \right)
F_{55}\! \left(x \right) = F_{13}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{57}\! \left(x \right) = F_{22}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{13}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{57}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{66}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{22}\! \left(x \right)+F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{62}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{13}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{69}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{141}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{129}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{13}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{108}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{13}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{81}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{33}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{87}\! \left(x \right)+F_{90}\! \left(x \right)
F_{87}\! \left(x \right) = F_{13}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{82}\! \left(x \right)+F_{86}\! \left(x \right)
F_{90}\! \left(x \right) = F_{13}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{33}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{13}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)
F_{96}\! \left(x \right) = F_{101}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{13}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{33}\! \left(x \right)+F_{97}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{13}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{97}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{13}\! \left(x \right)
F_{107}\! \left(x \right) = F_{104}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{29}\! \left(x \right)
F_{109}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{112}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{13}\! \left(x \right)
F_{111}\! \left(x \right) = F_{89}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{13}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{29}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{13}\! \left(x \right)
F_{117}\! \left(x \right) = F_{114}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{122}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{13}\! \left(x \right)
F_{121}\! \left(x \right) = F_{100}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{13}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{119}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{13}\! \left(x \right)
F_{128}\! \left(x \right) = F_{125}\! \left(x \right)
F_{129}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{13}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{114}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{120}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{13}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{133}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{13}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{137}\! \left(x \right)
F_{141}\! \left(x \right) = F_{13}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{165}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{13}\! \left(x \right) F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{143}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{34}\! \left(x \right)
F_{149}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{150}\! \left(x \right)+F_{87}\! \left(x \right)
F_{150}\! \left(x \right) = F_{13}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{156}\! \left(x \right)
F_{152}\! \left(x \right) = F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{13}\! \left(x \right) F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{152}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{158}\! \left(x \right)
F_{157}\! \left(x \right) = F_{98}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{13}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{157}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{13}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{161}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{170}\! \left(x \right)
F_{166}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{30}\! \left(x \right)
F_{167}\! \left(x \right) = F_{13}\! \left(x \right) F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{65}\! \left(x \right)
F_{169}\! \left(x \right) = F_{133}\! \left(x \right)+F_{29}\! \left(x \right)
F_{170}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{13}\! \left(x \right) F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{177}\! \left(x \right)
F_{173}\! \left(x \right) = F_{166}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{13}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{173}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{120}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{13}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{13}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{182}\! \left(x \right)
F_{186}\! \left(x \right) = F_{16}\! \left(x \right)+F_{187}\! \left(x \right)+F_{189}\! \left(x \right)+F_{75}\! \left(x \right)
F_{187}\! \left(x \right) = F_{13}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{186}\! \left(x \right)+F_{36}\! \left(x \right)
F_{189}\! \left(x \right) = F_{13}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{143}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{213}\! \left(x \right)
F_{192}\! \left(x \right) = F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{193}\! \left(x \right)+F_{200}\! \left(x \right)
F_{193}\! \left(x \right) = F_{13}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{192}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{13}\! \left(x \right) F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{199}\! \left(x \right)
F_{198}\! \left(x \right) = F_{195}\! \left(x \right)+F_{6}\! \left(x \right)
F_{199}\! \left(x \right) = F_{15}\! \left(x \right)+F_{192}\! \left(x \right)
F_{200}\! \left(x \right) = F_{13}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{32}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{206}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{13}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{203}\! \left(x \right)+F_{26}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{13}\! \left(x \right) F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{13}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{209}\! \left(x \right)
F_{213}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{214}\! \left(x \right)+F_{280}\! \left(x \right)
F_{214}\! \left(x \right) = F_{13}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{89}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{268}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{13}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{247}\! \left(x \right)
F_{220}\! \left(x \right) = F_{203}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{13}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{220}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{210}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{226}\! \left(x \right)+F_{229}\! \left(x \right)
F_{226}\! \left(x \right) = F_{13}\! \left(x \right) F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{221}\! \left(x \right)+F_{225}\! \left(x \right)
F_{229}\! \left(x \right) = F_{13}\! \left(x \right) F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{235}\! \left(x \right)
F_{231}\! \left(x \right) = F_{210}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{13}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{231}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{240}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{13}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{210}\! \left(x \right)+F_{236}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{13}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{236}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{13}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{243}\! \left(x \right)
F_{247}\! \left(x \right) = F_{206}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{13}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{228}\! \left(x \right)
F_{251}\! \left(x \right) = F_{13}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{257}\! \left(x \right)
F_{253}\! \left(x \right) = F_{206}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{13}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{253}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{261}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{13}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{239}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{13}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{258}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{13}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{264}\! \left(x \right)
F_{268}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{13}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{253}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{273}\! \left(x \right)
F_{272}\! \left(x \right) = F_{259}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{13}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{272}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{13}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{276}\! \left(x \right)
F_{280}\! \left(x \right) = F_{13}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{304}\! \left(x \right)
F_{282}\! \left(x \right) = F_{192}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{13}\! \left(x \right) F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{282}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{288}\! \left(x \right)
F_{287}\! \left(x \right) = F_{211}\! \left(x \right)
F_{288}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{226}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{13}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{295}\! \left(x \right)
F_{291}\! \left(x \right) = F_{287}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{13}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{291}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{297}\! \left(x \right)
F_{296}\! \left(x \right) = F_{237}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{13}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{296}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{13}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{300}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{309}\! \left(x \right)
F_{305}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{207}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{13}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{100}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{206}\! \left(x \right)+F_{272}\! \left(x \right)
F_{309}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{13}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{316}\! \left(x \right)
F_{312}\! \left(x \right) = F_{305}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{13}\! \left(x \right) F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{312}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{318}\! \left(x \right)
F_{317}\! \left(x \right) = F_{259}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{13}\! \left(x \right) F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{317}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{13}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{321}\! \left(x \right)
F_{325}\! \left(x \right) = F_{13}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{349}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{6}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{13}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{327}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)
F_{332}\! \left(x \right) = F_{23}\! \left(x \right)
F_{333}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{334}\! \left(x \right)+F_{52}\! \left(x \right)
F_{334}\! \left(x \right) = F_{13}\! \left(x \right) F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{340}\! \left(x \right)
F_{336}\! \left(x \right) = F_{332}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{13}\! \left(x \right) F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{336}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{342}\! \left(x \right)
F_{341}\! \left(x \right) = F_{63}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{13}\! \left(x \right) F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{341}\! \left(x \right)+F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{13}\! \left(x \right) F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{345}\! \left(x \right)
F_{349}\! \left(x \right) = F_{195}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{351}\! \left(x \right)+F_{75}\! \left(x \right)
F_{351}\! \left(x \right) = F_{13}\! \left(x \right) F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{375}\! \left(x \right)
F_{353}\! \left(x \right) = F_{195}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{13}\! \left(x \right) F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{353}\! \left(x \right)+F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{359}\! \left(x \right)
F_{358}\! \left(x \right) = F_{34}\! \left(x \right)
F_{359}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{360}\! \left(x \right)+F_{87}\! \left(x \right)
F_{360}\! \left(x \right) = F_{13}\! \left(x \right) F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{366}\! \left(x \right)
F_{362}\! \left(x \right) = F_{358}\! \left(x \right)+F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{13}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{362}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{368}\! \left(x \right)
F_{367}\! \left(x \right) = F_{98}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{13}\! \left(x \right) F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{367}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{13}\! \left(x \right) F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{371}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{377}\! \left(x \right)
F_{376}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{30}\! \left(x \right)
F_{377}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{13}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{384}\! \left(x \right)
F_{380}\! \left(x \right) = F_{376}\! \left(x \right)+F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{13}\! \left(x \right) F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{380}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)+F_{386}\! \left(x \right)
F_{385}\! \left(x \right) = F_{120}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{13}\! \left(x \right) F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{385}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{13}\! \left(x \right) F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{389}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_36(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_13(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_6(x))
Eq(F_10(x), F_11(x) + F_15(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_14(x))
Eq(F_13(x), x)
Eq(F_14(x), F_1(x) + F_11(x))
Eq(F_15(x), F_16(x) + F_17(x) + F_19(x))
Eq(F_16(x), 0)
Eq(F_17(x), F_13(x)*F_18(x))
Eq(F_18(x), F_15(x) + F_6(x))
Eq(F_19(x), F_13(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_11(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_13(x)*F_24(x))
Eq(F_24(x), F_21(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_13(x)*F_28(x))
Eq(F_28(x), F_11(x) + F_26(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_13(x)*F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_26(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_13(x)*F_35(x))
Eq(F_35(x), F_32(x))
Eq(F_36(x), F_16(x) + F_325(x) + F_37(x))
Eq(F_37(x), F_13(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_40(x))
Eq(F_39(x), F_2(x) + F_36(x))
Eq(F_40(x), F_186(x) + F_41(x))
Eq(F_41(x), F_16(x) + F_42(x) + F_44(x))
Eq(F_42(x), F_13(x)*F_43(x))
Eq(F_43(x), F_2(x) + F_41(x))
Eq(F_44(x), F_13(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_73(x))
Eq(F_46(x), F_11(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_13(x)*F_49(x))
Eq(F_49(x), F_46(x) + F_50(x))
Eq(F_50(x), F_22(x) + F_51(x))
Eq(F_51(x), 2*F_16(x) + F_52(x) + F_55(x))
Eq(F_52(x), F_13(x)*F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_47(x) + F_51(x))
Eq(F_55(x), F_13(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_61(x))
Eq(F_57(x), F_22(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_13(x)*F_60(x))
Eq(F_60(x), F_57(x))
Eq(F_61(x), F_62(x) + F_66(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_13(x)*F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_22(x) + F_62(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_13(x)*F_68(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_62(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_13(x)*F_72(x))
Eq(F_72(x), F_69(x))
Eq(F_73(x), F_15(x) + F_74(x))
Eq(F_74(x), F_141(x) + 2*F_16(x) + F_75(x))
Eq(F_75(x), F_13(x)*F_76(x))
Eq(F_76(x), F_54(x) + F_77(x))
Eq(F_77(x), F_129(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_13(x)*F_80(x))
Eq(F_80(x), F_108(x) + F_81(x))
Eq(F_81(x), F_26(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_13(x)*F_84(x))
Eq(F_84(x), F_81(x) + F_85(x))
Eq(F_85(x), F_33(x) + F_86(x))
Eq(F_86(x), 3*F_16(x) + F_87(x) + F_90(x))
Eq(F_87(x), F_13(x)*F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_82(x) + F_86(x))
Eq(F_90(x), F_13(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_33(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_13(x)*F_95(x))
Eq(F_95(x), F_92(x))
Eq(F_96(x), F_101(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_13(x)*F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_33(x) + F_97(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_13(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) + F_97(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_13(x))
Eq(F_107(x), F_104(x))
Eq(F_108(x), F_109(x) + F_29(x))
Eq(F_109(x), F_110(x) + F_112(x) + 3*F_16(x))
Eq(F_110(x), F_111(x)*F_13(x))
Eq(F_111(x), F_89(x))
Eq(F_112(x), F_113(x)*F_13(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x) + F_29(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_13(x))
Eq(F_117(x), F_114(x))
Eq(F_118(x), F_119(x) + F_122(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_13(x))
Eq(F_121(x), F_100(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_13(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_119(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_13(x))
Eq(F_128(x), F_125(x))
Eq(F_129(x), F_110(x) + F_130(x) + 3*F_16(x))
Eq(F_130(x), F_13(x)*F_131(x))
Eq(F_131(x), F_114(x) + F_132(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_120(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_13(x)*F_136(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_133(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_13(x)*F_140(x))
Eq(F_140(x), F_137(x))
Eq(F_141(x), F_13(x)*F_142(x))
Eq(F_142(x), F_143(x) + F_165(x))
Eq(F_143(x), F_144(x) + F_15(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_13(x)*F_146(x))
Eq(F_146(x), F_143(x) + F_147(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_34(x))
Eq(F_149(x), F_150(x) + 3*F_16(x) + F_87(x))
Eq(F_150(x), F_13(x)*F_151(x))
Eq(F_151(x), F_152(x) + F_156(x))
Eq(F_152(x), F_148(x) + F_153(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_13(x)*F_155(x))
Eq(F_155(x), F_152(x))
Eq(F_156(x), F_157(x) + F_158(x))
Eq(F_157(x), F_98(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_13(x)*F_160(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_157(x) + F_162(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_13(x)*F_164(x))
Eq(F_164(x), F_161(x))
Eq(F_165(x), F_166(x) + F_170(x))
Eq(F_166(x), 2*F_16(x) + F_167(x) + F_30(x))
Eq(F_167(x), F_13(x)*F_168(x))
Eq(F_168(x), F_169(x) + F_65(x))
Eq(F_169(x), F_133(x) + F_29(x))
Eq(F_170(x), F_110(x) + 3*F_16(x) + F_171(x))
Eq(F_171(x), F_13(x)*F_172(x))
Eq(F_172(x), F_173(x) + F_177(x))
Eq(F_173(x), F_166(x) + F_174(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_13(x)*F_176(x))
Eq(F_176(x), F_173(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_120(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_13(x)*F_181(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_178(x) + F_183(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_13(x)*F_185(x))
Eq(F_185(x), F_182(x))
Eq(F_186(x), F_16(x) + F_187(x) + F_189(x) + F_75(x))
Eq(F_187(x), F_13(x)*F_188(x))
Eq(F_188(x), F_186(x) + F_36(x))
Eq(F_189(x), F_13(x)*F_190(x))
Eq(F_190(x), F_143(x) + F_191(x))
Eq(F_191(x), F_192(x) + F_213(x))
Eq(F_192(x), F_16(x) + F_167(x) + F_193(x) + F_200(x))
Eq(F_193(x), F_13(x)*F_194(x))
Eq(F_194(x), F_192(x) + F_195(x))
Eq(F_195(x), F_16(x) + F_19(x) + F_196(x))
Eq(F_196(x), F_13(x)*F_197(x))
Eq(F_197(x), F_198(x) + F_199(x))
Eq(F_198(x), F_195(x) + F_6(x))
Eq(F_199(x), F_15(x) + F_192(x))
Eq(F_200(x), F_13(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_32(x))
Eq(F_202(x), F_203(x) + F_206(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_13(x)*F_205(x))
Eq(F_205(x), F_203(x) + F_26(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_13(x)*F_208(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_13(x)*F_212(x))
Eq(F_212(x), F_209(x))
Eq(F_213(x), 3*F_16(x) + F_214(x) + F_280(x))
Eq(F_214(x), F_13(x)*F_215(x))
Eq(F_215(x), F_216(x) + F_89(x))
Eq(F_216(x), F_217(x) + F_268(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_13(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_247(x))
Eq(F_220(x), F_203(x) + F_221(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_13(x)*F_223(x))
Eq(F_223(x), F_220(x) + F_224(x))
Eq(F_224(x), F_210(x) + F_225(x))
Eq(F_225(x), 4*F_16(x) + F_226(x) + F_229(x))
Eq(F_226(x), F_13(x)*F_227(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_221(x) + F_225(x))
Eq(F_229(x), F_13(x)*F_230(x))
Eq(F_230(x), F_231(x) + F_235(x))
Eq(F_231(x), F_210(x) + F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_13(x)*F_234(x))
Eq(F_234(x), F_231(x))
Eq(F_235(x), F_236(x) + F_240(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_13(x)*F_238(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_210(x) + F_236(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_13(x)*F_242(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_236(x) + F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_13(x)*F_246(x))
Eq(F_246(x), F_243(x))
Eq(F_247(x), F_206(x) + F_248(x))
Eq(F_248(x), 4*F_16(x) + F_249(x) + F_251(x))
Eq(F_249(x), F_13(x)*F_250(x))
Eq(F_250(x), F_228(x))
Eq(F_251(x), F_13(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_257(x))
Eq(F_253(x), F_206(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_13(x)*F_256(x))
Eq(F_256(x), F_253(x))
Eq(F_257(x), F_258(x) + F_261(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_13(x)*F_260(x))
Eq(F_260(x), F_239(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_13(x)*F_263(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_258(x) + F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_13(x)*F_267(x))
Eq(F_267(x), F_264(x))
Eq(F_268(x), 4*F_16(x) + F_249(x) + F_269(x))
Eq(F_269(x), F_13(x)*F_270(x))
Eq(F_270(x), F_253(x) + F_271(x))
Eq(F_271(x), F_272(x) + F_273(x))
Eq(F_272(x), F_259(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_13(x)*F_275(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_272(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_13(x)*F_279(x))
Eq(F_279(x), F_276(x))
Eq(F_280(x), F_13(x)*F_281(x))
Eq(F_281(x), F_282(x) + F_304(x))
Eq(F_282(x), F_192(x) + F_283(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_13(x)*F_285(x))
Eq(F_285(x), F_282(x) + F_286(x))
Eq(F_286(x), F_287(x) + F_288(x))
Eq(F_287(x), F_211(x))
Eq(F_288(x), 4*F_16(x) + F_226(x) + F_289(x))
Eq(F_289(x), F_13(x)*F_290(x))
Eq(F_290(x), F_291(x) + F_295(x))
Eq(F_291(x), F_287(x) + F_292(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_13(x)*F_294(x))
Eq(F_294(x), F_291(x))
Eq(F_295(x), F_296(x) + F_297(x))
Eq(F_296(x), F_237(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_13(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_296(x) + F_301(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_13(x)*F_303(x))
Eq(F_303(x), F_300(x))
Eq(F_304(x), F_305(x) + F_309(x))
Eq(F_305(x), 3*F_16(x) + F_207(x) + F_306(x))
Eq(F_306(x), F_13(x)*F_307(x))
Eq(F_307(x), F_100(x) + F_308(x))
Eq(F_308(x), F_206(x) + F_272(x))
Eq(F_309(x), 4*F_16(x) + F_249(x) + F_310(x))
Eq(F_310(x), F_13(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_316(x))
Eq(F_312(x), F_305(x) + F_313(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_13(x)*F_315(x))
Eq(F_315(x), F_312(x))
Eq(F_316(x), F_317(x) + F_318(x))
Eq(F_317(x), F_259(x))
Eq(F_318(x), F_319(x))
Eq(F_319(x), F_13(x)*F_320(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_317(x) + F_322(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_13(x)*F_324(x))
Eq(F_324(x), F_321(x))
Eq(F_325(x), F_13(x)*F_326(x))
Eq(F_326(x), F_327(x) + F_349(x))
Eq(F_327(x), F_328(x) + F_6(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_13(x)*F_330(x))
Eq(F_330(x), F_327(x) + F_331(x))
Eq(F_331(x), F_332(x) + F_333(x))
Eq(F_332(x), F_23(x))
Eq(F_333(x), 2*F_16(x) + F_334(x) + F_52(x))
Eq(F_334(x), F_13(x)*F_335(x))
Eq(F_335(x), F_336(x) + F_340(x))
Eq(F_336(x), F_332(x) + F_337(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_13(x)*F_339(x))
Eq(F_339(x), F_336(x))
Eq(F_340(x), F_341(x) + F_342(x))
Eq(F_341(x), F_63(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_13(x)*F_344(x))
Eq(F_344(x), F_345(x))
Eq(F_345(x), F_341(x) + F_346(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_13(x)*F_348(x))
Eq(F_348(x), F_345(x))
Eq(F_349(x), F_195(x) + F_350(x))
Eq(F_350(x), 2*F_16(x) + F_351(x) + F_75(x))
Eq(F_351(x), F_13(x)*F_352(x))
Eq(F_352(x), F_353(x) + F_375(x))
Eq(F_353(x), F_195(x) + F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_13(x)*F_356(x))
Eq(F_356(x), F_353(x) + F_357(x))
Eq(F_357(x), F_358(x) + F_359(x))
Eq(F_358(x), F_34(x))
Eq(F_359(x), 3*F_16(x) + F_360(x) + F_87(x))
Eq(F_360(x), F_13(x)*F_361(x))
Eq(F_361(x), F_362(x) + F_366(x))
Eq(F_362(x), F_358(x) + F_363(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_13(x)*F_365(x))
Eq(F_365(x), F_362(x))
Eq(F_366(x), F_367(x) + F_368(x))
Eq(F_367(x), F_98(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_13(x)*F_370(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_367(x) + F_372(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_13(x)*F_374(x))
Eq(F_374(x), F_371(x))
Eq(F_375(x), F_376(x) + F_377(x))
Eq(F_376(x), 2*F_16(x) + F_167(x) + F_30(x))
Eq(F_377(x), F_110(x) + 3*F_16(x) + F_378(x))
Eq(F_378(x), F_13(x)*F_379(x))
Eq(F_379(x), F_380(x) + F_384(x))
Eq(F_380(x), F_376(x) + F_381(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_13(x)*F_383(x))
Eq(F_383(x), F_380(x))
Eq(F_384(x), F_385(x) + F_386(x))
Eq(F_385(x), F_120(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_13(x)*F_388(x))
Eq(F_388(x), F_389(x))
Eq(F_389(x), F_385(x) + F_390(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_13(x)*F_392(x))
Eq(F_392(x), F_389(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [1], "ignore_parent": false, "partial": false, "place_col": false, "place_row": true, "strategy_class": "RowAndColumnPlacementFactory"}]], "inferral_strats": [], "initial_strats": [{"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": true, "maxreqlen": 1, "one_cell_only": true, "strategy_class": "CellInsertionFactory"}], "iterative": false, "name": "regular_insertion_encoding_bottom", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 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0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [2, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[3, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[3, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}]]}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.requirement_insertion", "gps": [{"patt": [0], "pos": [[3, 0]]}], "ignore_parent": true, "strategy_class": "RequirementInsertionStrategy"}}, "rule_class": "EquivalenceRule"}]}, {"class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": []}, "rule_class": "VerificationRule", "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: regular_insertion_encoding_bottom
Tree: http://permpal.com/tree/24347/
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[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[36,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[13,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[1,x]+F[6,x]
F[10,x] = F[11,x]+F[15,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[14,x]
F[13,x] = x
F[14,x] = F[1,x]+F[11,x]
F[15,x] = F[16,x]+F[17,x]+F[19,x]
F[16,x] = 0
F[17,x] = F[13,x]*F[18,x]
F[18,x] = F[15,x]+F[6,x]
F[19,x] = F[13,x]*F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[11,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[13,x]*F[24,x]
F[24,x] = F[21,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[27,x]
F[27,x] = F[13,x]*F[28,x]
F[28,x] = F[11,x]+F[26,x]
F[29,x] = F[30,x]
F[30,x] = F[13,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[26,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[13,x]*F[35,x]
F[35,x] = F[32,x]
F[36,x] = F[16,x]+F[325,x]+F[37,x]
F[37,x] = F[13,x]*F[38,x]
F[38,x] = F[39,x]+F[40,x]
F[39,x] = F[2,x]+F[36,x]
F[40,x] = F[186,x]+F[41,x]
F[41,x] = F[16,x]+F[42,x]+F[44,x]
F[42,x] = F[13,x]*F[43,x]
F[43,x] = F[2,x]+F[41,x]
F[44,x] = F[13,x]*F[45,x]
F[45,x] = F[46,x]+F[73,x]
F[46,x] = F[11,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[13,x]*F[49,x]
F[49,x] = F[46,x]+F[50,x]
F[50,x] = F[22,x]+F[51,x]
F[51,x] = 2*F[16,x]+F[52,x]+F[55,x]
F[52,x] = F[13,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[47,x]+F[51,x]
F[55,x] = F[13,x]*F[56,x]
F[56,x] = F[57,x]+F[61,x]
F[57,x] = F[22,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[13,x]*F[60,x]
F[60,x] = F[57,x]
F[61,x] = F[62,x]+F[66,x]
F[62,x] = F[63,x]
F[63,x] = F[13,x]*F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[22,x]+F[62,x]
F[66,x] = F[67,x]
F[67,x] = F[13,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[62,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[13,x]*F[72,x]
F[72,x] = F[69,x]
F[73,x] = F[15,x]+F[74,x]
F[74,x] = 2*F[16,x]+F[141,x]+F[75,x]
F[75,x] = F[13,x]*F[76,x]
F[76,x] = F[54,x]+F[77,x]
F[77,x] = F[129,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[13,x]*F[80,x]
F[80,x] = F[108,x]+F[81,x]
F[81,x] = F[26,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[13,x]*F[84,x]
F[84,x] = F[81,x]+F[85,x]
F[85,x] = F[33,x]+F[86,x]
F[86,x] = 3*F[16,x]+F[87,x]+F[90,x]
F[87,x] = F[13,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[82,x]+F[86,x]
F[90,x] = F[13,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[33,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[13,x]*F[95,x]
F[95,x] = F[92,x]
F[96,x] = F[101,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[13,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[33,x]+F[97,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[13,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]+F[97,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[13,x]
F[107,x] = F[104,x]
F[108,x] = F[109,x]+F[29,x]
F[109,x] = 3*F[16,x]+F[110,x]+F[112,x]
F[110,x] = F[111,x]*F[13,x]
F[111,x] = F[89,x]
F[112,x] = F[113,x]*F[13,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]+F[29,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[13,x]
F[117,x] = F[114,x]
F[118,x] = F[119,x]+F[122,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[13,x]
F[121,x] = F[100,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[13,x]
F[124,x] = F[125,x]
F[125,x] = F[119,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[13,x]
F[128,x] = F[125,x]
F[129,x] = 3*F[16,x]+F[110,x]+F[130,x]
F[130,x] = F[13,x]*F[131,x]
F[131,x] = F[114,x]+F[132,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[120,x]
F[134,x] = F[135,x]
F[135,x] = F[13,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[133,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[13,x]*F[140,x]
F[140,x] = F[137,x]
F[141,x] = F[13,x]*F[142,x]
F[142,x] = F[143,x]+F[165,x]
F[143,x] = F[144,x]+F[15,x]
F[144,x] = F[145,x]
F[145,x] = F[13,x]*F[146,x]
F[146,x] = F[143,x]+F[147,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[34,x]
F[149,x] = 3*F[16,x]+F[150,x]+F[87,x]
F[150,x] = F[13,x]*F[151,x]
F[151,x] = F[152,x]+F[156,x]
F[152,x] = F[148,x]+F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[13,x]*F[155,x]
F[155,x] = F[152,x]
F[156,x] = F[157,x]+F[158,x]
F[157,x] = F[98,x]
F[158,x] = F[159,x]
F[159,x] = F[13,x]*F[160,x]
F[160,x] = F[161,x]
F[161,x] = F[157,x]+F[162,x]
F[162,x] = F[163,x]
F[163,x] = F[13,x]*F[164,x]
F[164,x] = F[161,x]
F[165,x] = F[166,x]+F[170,x]
F[166,x] = 2*F[16,x]+F[167,x]+F[30,x]
F[167,x] = F[13,x]*F[168,x]
F[168,x] = F[169,x]+F[65,x]
F[169,x] = F[133,x]+F[29,x]
F[170,x] = 3*F[16,x]+F[110,x]+F[171,x]
F[171,x] = F[13,x]*F[172,x]
F[172,x] = F[173,x]+F[177,x]
F[173,x] = F[166,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[13,x]*F[176,x]
F[176,x] = F[173,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[120,x]
F[179,x] = F[180,x]
F[180,x] = F[13,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = F[178,x]+F[183,x]
F[183,x] = F[184,x]
F[184,x] = F[13,x]*F[185,x]
F[185,x] = F[182,x]
F[186,x] = F[16,x]+F[187,x]+F[189,x]+F[75,x]
F[187,x] = F[13,x]*F[188,x]
F[188,x] = F[186,x]+F[36,x]
F[189,x] = F[13,x]*F[190,x]
F[190,x] = F[143,x]+F[191,x]
F[191,x] = F[192,x]+F[213,x]
F[192,x] = F[16,x]+F[167,x]+F[193,x]+F[200,x]
F[193,x] = F[13,x]*F[194,x]
F[194,x] = F[192,x]+F[195,x]
F[195,x] = F[16,x]+F[19,x]+F[196,x]
F[196,x] = F[13,x]*F[197,x]
F[197,x] = F[198,x]+F[199,x]
F[198,x] = F[195,x]+F[6,x]
F[199,x] = F[15,x]+F[192,x]
F[200,x] = F[13,x]*F[201,x]
F[201,x] = F[202,x]+F[32,x]
F[202,x] = F[203,x]+F[206,x]
F[203,x] = F[204,x]
F[204,x] = F[13,x]*F[205,x]
F[205,x] = F[203,x]+F[26,x]
F[206,x] = F[207,x]
F[207,x] = F[13,x]*F[208,x]
F[208,x] = F[209,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[211,x]
F[211,x] = F[13,x]*F[212,x]
F[212,x] = F[209,x]
F[213,x] = 3*F[16,x]+F[214,x]+F[280,x]
F[214,x] = F[13,x]*F[215,x]
F[215,x] = F[216,x]+F[89,x]
F[216,x] = F[217,x]+F[268,x]
F[217,x] = F[218,x]
F[218,x] = F[13,x]*F[219,x]
F[219,x] = F[220,x]+F[247,x]
F[220,x] = F[203,x]+F[221,x]
F[221,x] = F[222,x]
F[222,x] = F[13,x]*F[223,x]
F[223,x] = F[220,x]+F[224,x]
F[224,x] = F[210,x]+F[225,x]
F[225,x] = 4*F[16,x]+F[226,x]+F[229,x]
F[226,x] = F[13,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[221,x]+F[225,x]
F[229,x] = F[13,x]*F[230,x]
F[230,x] = F[231,x]+F[235,x]
F[231,x] = F[210,x]+F[232,x]
F[232,x] = F[233,x]
F[233,x] = F[13,x]*F[234,x]
F[234,x] = F[231,x]
F[235,x] = F[236,x]+F[240,x]
F[236,x] = F[237,x]
F[237,x] = F[13,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = F[210,x]+F[236,x]
F[240,x] = F[241,x]
F[241,x] = F[13,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[236,x]+F[244,x]
F[244,x] = F[245,x]
F[245,x] = F[13,x]*F[246,x]
F[246,x] = F[243,x]
F[247,x] = F[206,x]+F[248,x]
F[248,x] = 4*F[16,x]+F[249,x]+F[251,x]
F[249,x] = F[13,x]*F[250,x]
F[250,x] = F[228,x]
F[251,x] = F[13,x]*F[252,x]
F[252,x] = F[253,x]+F[257,x]
F[253,x] = F[206,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[13,x]*F[256,x]
F[256,x] = F[253,x]
F[257,x] = F[258,x]+F[261,x]
F[258,x] = F[259,x]
F[259,x] = F[13,x]*F[260,x]
F[260,x] = F[239,x]
F[261,x] = F[262,x]
F[262,x] = F[13,x]*F[263,x]
F[263,x] = F[264,x]
F[264,x] = F[258,x]+F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[13,x]*F[267,x]
F[267,x] = F[264,x]
F[268,x] = 4*F[16,x]+F[249,x]+F[269,x]
F[269,x] = F[13,x]*F[270,x]
F[270,x] = F[253,x]+F[271,x]
F[271,x] = F[272,x]+F[273,x]
F[272,x] = F[259,x]
F[273,x] = F[274,x]
F[274,x] = F[13,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[272,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[13,x]*F[279,x]
F[279,x] = F[276,x]
F[280,x] = F[13,x]*F[281,x]
F[281,x] = F[282,x]+F[304,x]
F[282,x] = F[192,x]+F[283,x]
F[283,x] = F[284,x]
F[284,x] = F[13,x]*F[285,x]
F[285,x] = F[282,x]+F[286,x]
F[286,x] = F[287,x]+F[288,x]
F[287,x] = F[211,x]
F[288,x] = 4*F[16,x]+F[226,x]+F[289,x]
F[289,x] = F[13,x]*F[290,x]
F[290,x] = F[291,x]+F[295,x]
F[291,x] = F[287,x]+F[292,x]
F[292,x] = F[293,x]
F[293,x] = F[13,x]*F[294,x]
F[294,x] = F[291,x]
F[295,x] = F[296,x]+F[297,x]
F[296,x] = F[237,x]
F[297,x] = F[298,x]
F[298,x] = F[13,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[296,x]+F[301,x]
F[301,x] = F[302,x]
F[302,x] = F[13,x]*F[303,x]
F[303,x] = F[300,x]
F[304,x] = F[305,x]+F[309,x]
F[305,x] = 3*F[16,x]+F[207,x]+F[306,x]
F[306,x] = F[13,x]*F[307,x]
F[307,x] = F[100,x]+F[308,x]
F[308,x] = F[206,x]+F[272,x]
F[309,x] = 4*F[16,x]+F[249,x]+F[310,x]
F[310,x] = F[13,x]*F[311,x]
F[311,x] = F[312,x]+F[316,x]
F[312,x] = F[305,x]+F[313,x]
F[313,x] = F[314,x]
F[314,x] = F[13,x]*F[315,x]
F[315,x] = F[312,x]
F[316,x] = F[317,x]+F[318,x]
F[317,x] = F[259,x]
F[318,x] = F[319,x]
F[319,x] = F[13,x]*F[320,x]
F[320,x] = F[321,x]
F[321,x] = F[317,x]+F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[13,x]*F[324,x]
F[324,x] = F[321,x]
F[325,x] = F[13,x]*F[326,x]
F[326,x] = F[327,x]+F[349,x]
F[327,x] = F[328,x]+F[6,x]
F[328,x] = F[329,x]
F[329,x] = F[13,x]*F[330,x]
F[330,x] = F[327,x]+F[331,x]
F[331,x] = F[332,x]+F[333,x]
F[332,x] = F[23,x]
F[333,x] = 2*F[16,x]+F[334,x]+F[52,x]
F[334,x] = F[13,x]*F[335,x]
F[335,x] = F[336,x]+F[340,x]
F[336,x] = F[332,x]+F[337,x]
F[337,x] = F[338,x]
F[338,x] = F[13,x]*F[339,x]
F[339,x] = F[336,x]
F[340,x] = F[341,x]+F[342,x]
F[341,x] = F[63,x]
F[342,x] = F[343,x]
F[343,x] = F[13,x]*F[344,x]
F[344,x] = F[345,x]
F[345,x] = F[341,x]+F[346,x]
F[346,x] = F[347,x]
F[347,x] = F[13,x]*F[348,x]
F[348,x] = F[345,x]
F[349,x] = F[195,x]+F[350,x]
F[350,x] = 2*F[16,x]+F[351,x]+F[75,x]
F[351,x] = F[13,x]*F[352,x]
F[352,x] = F[353,x]+F[375,x]
F[353,x] = F[195,x]+F[354,x]
F[354,x] = F[355,x]
F[355,x] = F[13,x]*F[356,x]
F[356,x] = F[353,x]+F[357,x]
F[357,x] = F[358,x]+F[359,x]
F[358,x] = F[34,x]
F[359,x] = 3*F[16,x]+F[360,x]+F[87,x]
F[360,x] = F[13,x]*F[361,x]
F[361,x] = F[362,x]+F[366,x]
F[362,x] = F[358,x]+F[363,x]
F[363,x] = F[364,x]
F[364,x] = F[13,x]*F[365,x]
F[365,x] = F[362,x]
F[366,x] = F[367,x]+F[368,x]
F[367,x] = F[98,x]
F[368,x] = F[369,x]
F[369,x] = F[13,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = F[367,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = F[13,x]*F[374,x]
F[374,x] = F[371,x]
F[375,x] = F[376,x]+F[377,x]
F[376,x] = 2*F[16,x]+F[167,x]+F[30,x]
F[377,x] = 3*F[16,x]+F[110,x]+F[378,x]
F[378,x] = F[13,x]*F[379,x]
F[379,x] = F[380,x]+F[384,x]
F[380,x] = F[376,x]+F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[13,x]*F[383,x]
F[383,x] = F[380,x]
F[384,x] = F[385,x]+F[386,x]
F[385,x] = F[120,x]
F[386,x] = F[387,x]
F[387,x] = F[13,x]*F[388,x]
F[388,x] = F[389,x]
F[389,x] = F[385,x]+F[390,x]
F[390,x] = F[391,x]
F[391,x] = F[13,x]*F[392,x]
F[392,x] = F[389,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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{36}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{13}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = 0
F_{17}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right)+F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{13}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right)+F_{26}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{13}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{26}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{13}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{32}\! \left(x \right)
F_{36}\! \left(x \right) = F_{16}\! \left(x \right)+F_{325}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{13}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{40}\! \left(x \right) = F_{186}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{16}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)
F_{42}\! \left(x \right) = F_{13}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{13}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{73}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{46}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{22}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{13}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{47}\! \left(x \right)+F_{51}\! \left(x \right)
F_{55}\! \left(x \right) = F_{13}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{57}\! \left(x \right) = F_{22}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{13}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{57}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{66}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{22}\! \left(x \right)+F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{62}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{13}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{69}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{141}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{129}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{13}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{108}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{13}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{81}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{33}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{87}\! \left(x \right)+F_{90}\! \left(x \right)
F_{87}\! \left(x \right) = F_{13}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{82}\! \left(x \right)+F_{86}\! \left(x \right)
F_{90}\! \left(x \right) = F_{13}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{33}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{13}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)
F_{96}\! \left(x \right) = F_{101}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{13}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{33}\! \left(x \right)+F_{97}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{13}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{97}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{13}\! \left(x \right)
F_{107}\! \left(x \right) = F_{104}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{29}\! \left(x \right)
F_{109}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{112}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{13}\! \left(x \right)
F_{111}\! \left(x \right) = F_{89}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{13}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{29}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{13}\! \left(x \right)
F_{117}\! \left(x \right) = F_{114}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{122}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{13}\! \left(x \right)
F_{121}\! \left(x \right) = F_{100}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{13}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{119}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{13}\! \left(x \right)
F_{128}\! \left(x \right) = F_{125}\! \left(x \right)
F_{129}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{13}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{114}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{120}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{13}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{133}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{13}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{137}\! \left(x \right)
F_{141}\! \left(x \right) = F_{13}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{165}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{13}\! \left(x \right) F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{143}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{34}\! \left(x \right)
F_{149}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{150}\! \left(x \right)+F_{87}\! \left(x \right)
F_{150}\! \left(x \right) = F_{13}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{156}\! \left(x \right)
F_{152}\! \left(x \right) = F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{13}\! \left(x \right) F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{152}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{158}\! \left(x \right)
F_{157}\! \left(x \right) = F_{98}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{13}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{157}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{13}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{161}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{170}\! \left(x \right)
F_{166}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{30}\! \left(x \right)
F_{167}\! \left(x \right) = F_{13}\! \left(x \right) F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{65}\! \left(x \right)
F_{169}\! \left(x \right) = F_{133}\! \left(x \right)+F_{29}\! \left(x \right)
F_{170}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{13}\! \left(x \right) F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{177}\! \left(x \right)
F_{173}\! \left(x \right) = F_{166}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{13}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{173}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{120}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{13}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{13}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{182}\! \left(x \right)
F_{186}\! \left(x \right) = F_{16}\! \left(x \right)+F_{187}\! \left(x \right)+F_{189}\! \left(x \right)+F_{75}\! \left(x \right)
F_{187}\! \left(x \right) = F_{13}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{186}\! \left(x \right)+F_{36}\! \left(x \right)
F_{189}\! \left(x \right) = F_{13}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{143}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{213}\! \left(x \right)
F_{192}\! \left(x \right) = F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{193}\! \left(x \right)+F_{200}\! \left(x \right)
F_{193}\! \left(x \right) = F_{13}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{192}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{13}\! \left(x \right) F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{199}\! \left(x \right)
F_{198}\! \left(x \right) = F_{195}\! \left(x \right)+F_{6}\! \left(x \right)
F_{199}\! \left(x \right) = F_{15}\! \left(x \right)+F_{192}\! \left(x \right)
F_{200}\! \left(x \right) = F_{13}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{32}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{206}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{13}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{203}\! \left(x \right)+F_{26}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{13}\! \left(x \right) F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{13}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{209}\! \left(x \right)
F_{213}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{214}\! \left(x \right)+F_{280}\! \left(x \right)
F_{214}\! \left(x \right) = F_{13}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{89}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{268}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{13}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{247}\! \left(x \right)
F_{220}\! \left(x \right) = F_{203}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{13}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{220}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{210}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{226}\! \left(x \right)+F_{229}\! \left(x \right)
F_{226}\! \left(x \right) = F_{13}\! \left(x \right) F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{221}\! \left(x \right)+F_{225}\! \left(x \right)
F_{229}\! \left(x \right) = F_{13}\! \left(x \right) F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{235}\! \left(x \right)
F_{231}\! \left(x \right) = F_{210}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{13}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{231}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{240}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{13}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{210}\! \left(x \right)+F_{236}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{13}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{236}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{13}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{243}\! \left(x \right)
F_{247}\! \left(x \right) = F_{206}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{13}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{228}\! \left(x \right)
F_{251}\! \left(x \right) = F_{13}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{257}\! \left(x \right)
F_{253}\! \left(x \right) = F_{206}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{13}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{253}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{261}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{13}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{239}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{13}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{258}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{13}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{264}\! \left(x \right)
F_{268}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{13}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{253}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{273}\! \left(x \right)
F_{272}\! \left(x \right) = F_{259}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{13}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{272}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{13}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{276}\! \left(x \right)
F_{280}\! \left(x \right) = F_{13}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{304}\! \left(x \right)
F_{282}\! \left(x \right) = F_{192}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{13}\! \left(x \right) F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{282}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{288}\! \left(x \right)
F_{287}\! \left(x \right) = F_{211}\! \left(x \right)
F_{288}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{226}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{13}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{295}\! \left(x \right)
F_{291}\! \left(x \right) = F_{287}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{13}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{291}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{297}\! \left(x \right)
F_{296}\! \left(x \right) = F_{237}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{13}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{296}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{13}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{300}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{309}\! \left(x \right)
F_{305}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{207}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{13}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{100}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{206}\! \left(x \right)+F_{272}\! \left(x \right)
F_{309}\! \left(x \right) = 4 F_{16}\! \left(x \right)+F_{249}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{13}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{316}\! \left(x \right)
F_{312}\! \left(x \right) = F_{305}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{13}\! \left(x \right) F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{312}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{318}\! \left(x \right)
F_{317}\! \left(x \right) = F_{259}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{13}\! \left(x \right) F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{317}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{13}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{321}\! \left(x \right)
F_{325}\! \left(x \right) = F_{13}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{349}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{6}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{13}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{327}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)
F_{332}\! \left(x \right) = F_{23}\! \left(x \right)
F_{333}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{334}\! \left(x \right)+F_{52}\! \left(x \right)
F_{334}\! \left(x \right) = F_{13}\! \left(x \right) F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{340}\! \left(x \right)
F_{336}\! \left(x \right) = F_{332}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{13}\! \left(x \right) F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{336}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{342}\! \left(x \right)
F_{341}\! \left(x \right) = F_{63}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{13}\! \left(x \right) F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{341}\! \left(x \right)+F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{13}\! \left(x \right) F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{345}\! \left(x \right)
F_{349}\! \left(x \right) = F_{195}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{351}\! \left(x \right)+F_{75}\! \left(x \right)
F_{351}\! \left(x \right) = F_{13}\! \left(x \right) F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{375}\! \left(x \right)
F_{353}\! \left(x \right) = F_{195}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{13}\! \left(x \right) F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{353}\! \left(x \right)+F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{359}\! \left(x \right)
F_{358}\! \left(x \right) = F_{34}\! \left(x \right)
F_{359}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{360}\! \left(x \right)+F_{87}\! \left(x \right)
F_{360}\! \left(x \right) = F_{13}\! \left(x \right) F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{366}\! \left(x \right)
F_{362}\! \left(x \right) = F_{358}\! \left(x \right)+F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{13}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{362}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{368}\! \left(x \right)
F_{367}\! \left(x \right) = F_{98}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{13}\! \left(x \right) F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{367}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{13}\! \left(x \right) F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{371}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{377}\! \left(x \right)
F_{376}\! \left(x \right) = 2 F_{16}\! \left(x \right)+F_{167}\! \left(x \right)+F_{30}\! \left(x \right)
F_{377}\! \left(x \right) = 3 F_{16}\! \left(x \right)+F_{110}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{13}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{384}\! \left(x \right)
F_{380}\! \left(x \right) = F_{376}\! \left(x \right)+F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{13}\! \left(x \right) F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{380}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)+F_{386}\! \left(x \right)
F_{385}\! \left(x \right) = F_{120}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{13}\! \left(x \right) F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{385}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{13}\! \left(x \right) F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{389}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_36(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_13(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_6(x))
Eq(F_10(x), F_11(x) + F_15(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_14(x))
Eq(F_13(x), x)
Eq(F_14(x), F_1(x) + F_11(x))
Eq(F_15(x), F_16(x) + F_17(x) + F_19(x))
Eq(F_16(x), 0)
Eq(F_17(x), F_13(x)*F_18(x))
Eq(F_18(x), F_15(x) + F_6(x))
Eq(F_19(x), F_13(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_11(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_13(x)*F_24(x))
Eq(F_24(x), F_21(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_13(x)*F_28(x))
Eq(F_28(x), F_11(x) + F_26(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_13(x)*F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_26(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_13(x)*F_35(x))
Eq(F_35(x), F_32(x))
Eq(F_36(x), F_16(x) + F_325(x) + F_37(x))
Eq(F_37(x), F_13(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_40(x))
Eq(F_39(x), F_2(x) + F_36(x))
Eq(F_40(x), F_186(x) + F_41(x))
Eq(F_41(x), F_16(x) + F_42(x) + F_44(x))
Eq(F_42(x), F_13(x)*F_43(x))
Eq(F_43(x), F_2(x) + F_41(x))
Eq(F_44(x), F_13(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_73(x))
Eq(F_46(x), F_11(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_13(x)*F_49(x))
Eq(F_49(x), F_46(x) + F_50(x))
Eq(F_50(x), F_22(x) + F_51(x))
Eq(F_51(x), 2*F_16(x) + F_52(x) + F_55(x))
Eq(F_52(x), F_13(x)*F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_47(x) + F_51(x))
Eq(F_55(x), F_13(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_61(x))
Eq(F_57(x), F_22(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_13(x)*F_60(x))
Eq(F_60(x), F_57(x))
Eq(F_61(x), F_62(x) + F_66(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_13(x)*F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_22(x) + F_62(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_13(x)*F_68(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_62(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_13(x)*F_72(x))
Eq(F_72(x), F_69(x))
Eq(F_73(x), F_15(x) + F_74(x))
Eq(F_74(x), F_141(x) + 2*F_16(x) + F_75(x))
Eq(F_75(x), F_13(x)*F_76(x))
Eq(F_76(x), F_54(x) + F_77(x))
Eq(F_77(x), F_129(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_13(x)*F_80(x))
Eq(F_80(x), F_108(x) + F_81(x))
Eq(F_81(x), F_26(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_13(x)*F_84(x))
Eq(F_84(x), F_81(x) + F_85(x))
Eq(F_85(x), F_33(x) + F_86(x))
Eq(F_86(x), 3*F_16(x) + F_87(x) + F_90(x))
Eq(F_87(x), F_13(x)*F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_82(x) + F_86(x))
Eq(F_90(x), F_13(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_33(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_13(x)*F_95(x))
Eq(F_95(x), F_92(x))
Eq(F_96(x), F_101(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_13(x)*F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_33(x) + F_97(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_13(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) + F_97(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_13(x))
Eq(F_107(x), F_104(x))
Eq(F_108(x), F_109(x) + F_29(x))
Eq(F_109(x), F_110(x) + F_112(x) + 3*F_16(x))
Eq(F_110(x), F_111(x)*F_13(x))
Eq(F_111(x), F_89(x))
Eq(F_112(x), F_113(x)*F_13(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x) + F_29(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_13(x))
Eq(F_117(x), F_114(x))
Eq(F_118(x), F_119(x) + F_122(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_13(x))
Eq(F_121(x), F_100(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_13(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_119(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_13(x))
Eq(F_128(x), F_125(x))
Eq(F_129(x), F_110(x) + F_130(x) + 3*F_16(x))
Eq(F_130(x), F_13(x)*F_131(x))
Eq(F_131(x), F_114(x) + F_132(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_120(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_13(x)*F_136(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_133(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_13(x)*F_140(x))
Eq(F_140(x), F_137(x))
Eq(F_141(x), F_13(x)*F_142(x))
Eq(F_142(x), F_143(x) + F_165(x))
Eq(F_143(x), F_144(x) + F_15(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_13(x)*F_146(x))
Eq(F_146(x), F_143(x) + F_147(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_34(x))
Eq(F_149(x), F_150(x) + 3*F_16(x) + F_87(x))
Eq(F_150(x), F_13(x)*F_151(x))
Eq(F_151(x), F_152(x) + F_156(x))
Eq(F_152(x), F_148(x) + F_153(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_13(x)*F_155(x))
Eq(F_155(x), F_152(x))
Eq(F_156(x), F_157(x) + F_158(x))
Eq(F_157(x), F_98(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_13(x)*F_160(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_157(x) + F_162(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_13(x)*F_164(x))
Eq(F_164(x), F_161(x))
Eq(F_165(x), F_166(x) + F_170(x))
Eq(F_166(x), 2*F_16(x) + F_167(x) + F_30(x))
Eq(F_167(x), F_13(x)*F_168(x))
Eq(F_168(x), F_169(x) + F_65(x))
Eq(F_169(x), F_133(x) + F_29(x))
Eq(F_170(x), F_110(x) + 3*F_16(x) + F_171(x))
Eq(F_171(x), F_13(x)*F_172(x))
Eq(F_172(x), F_173(x) + F_177(x))
Eq(F_173(x), F_166(x) + F_174(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_13(x)*F_176(x))
Eq(F_176(x), F_173(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_120(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_13(x)*F_181(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_178(x) + F_183(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_13(x)*F_185(x))
Eq(F_185(x), F_182(x))
Eq(F_186(x), F_16(x) + F_187(x) + F_189(x) + F_75(x))
Eq(F_187(x), F_13(x)*F_188(x))
Eq(F_188(x), F_186(x) + F_36(x))
Eq(F_189(x), F_13(x)*F_190(x))
Eq(F_190(x), F_143(x) + F_191(x))
Eq(F_191(x), F_192(x) + F_213(x))
Eq(F_192(x), F_16(x) + F_167(x) + F_193(x) + F_200(x))
Eq(F_193(x), F_13(x)*F_194(x))
Eq(F_194(x), F_192(x) + F_195(x))
Eq(F_195(x), F_16(x) + F_19(x) + F_196(x))
Eq(F_196(x), F_13(x)*F_197(x))
Eq(F_197(x), F_198(x) + F_199(x))
Eq(F_198(x), F_195(x) + F_6(x))
Eq(F_199(x), F_15(x) + F_192(x))
Eq(F_200(x), F_13(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_32(x))
Eq(F_202(x), F_203(x) + F_206(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_13(x)*F_205(x))
Eq(F_205(x), F_203(x) + F_26(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_13(x)*F_208(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_13(x)*F_212(x))
Eq(F_212(x), F_209(x))
Eq(F_213(x), 3*F_16(x) + F_214(x) + F_280(x))
Eq(F_214(x), F_13(x)*F_215(x))
Eq(F_215(x), F_216(x) + F_89(x))
Eq(F_216(x), F_217(x) + F_268(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_13(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_247(x))
Eq(F_220(x), F_203(x) + F_221(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_13(x)*F_223(x))
Eq(F_223(x), F_220(x) + F_224(x))
Eq(F_224(x), F_210(x) + F_225(x))
Eq(F_225(x), 4*F_16(x) + F_226(x) + F_229(x))
Eq(F_226(x), F_13(x)*F_227(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_221(x) + F_225(x))
Eq(F_229(x), F_13(x)*F_230(x))
Eq(F_230(x), F_231(x) + F_235(x))
Eq(F_231(x), F_210(x) + F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_13(x)*F_234(x))
Eq(F_234(x), F_231(x))
Eq(F_235(x), F_236(x) + F_240(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_13(x)*F_238(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_210(x) + F_236(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_13(x)*F_242(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_236(x) + F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_13(x)*F_246(x))
Eq(F_246(x), F_243(x))
Eq(F_247(x), F_206(x) + F_248(x))
Eq(F_248(x), 4*F_16(x) + F_249(x) + F_251(x))
Eq(F_249(x), F_13(x)*F_250(x))
Eq(F_250(x), F_228(x))
Eq(F_251(x), F_13(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_257(x))
Eq(F_253(x), F_206(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_13(x)*F_256(x))
Eq(F_256(x), F_253(x))
Eq(F_257(x), F_258(x) + F_261(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_13(x)*F_260(x))
Eq(F_260(x), F_239(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_13(x)*F_263(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_258(x) + F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_13(x)*F_267(x))
Eq(F_267(x), F_264(x))
Eq(F_268(x), 4*F_16(x) + F_249(x) + F_269(x))
Eq(F_269(x), F_13(x)*F_270(x))
Eq(F_270(x), F_253(x) + F_271(x))
Eq(F_271(x), F_272(x) + F_273(x))
Eq(F_272(x), F_259(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_13(x)*F_275(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_272(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_13(x)*F_279(x))
Eq(F_279(x), F_276(x))
Eq(F_280(x), F_13(x)*F_281(x))
Eq(F_281(x), F_282(x) + F_304(x))
Eq(F_282(x), F_192(x) + F_283(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_13(x)*F_285(x))
Eq(F_285(x), F_282(x) + F_286(x))
Eq(F_286(x), F_287(x) + F_288(x))
Eq(F_287(x), F_211(x))
Eq(F_288(x), 4*F_16(x) + F_226(x) + F_289(x))
Eq(F_289(x), F_13(x)*F_290(x))
Eq(F_290(x), F_291(x) + F_295(x))
Eq(F_291(x), F_287(x) + F_292(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_13(x)*F_294(x))
Eq(F_294(x), F_291(x))
Eq(F_295(x), F_296(x) + F_297(x))
Eq(F_296(x), F_237(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_13(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_296(x) + F_301(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_13(x)*F_303(x))
Eq(F_303(x), F_300(x))
Eq(F_304(x), F_305(x) + F_309(x))
Eq(F_305(x), 3*F_16(x) + F_207(x) + F_306(x))
Eq(F_306(x), F_13(x)*F_307(x))
Eq(F_307(x), F_100(x) + F_308(x))
Eq(F_308(x), F_206(x) + F_272(x))
Eq(F_309(x), 4*F_16(x) + F_249(x) + F_310(x))
Eq(F_310(x), F_13(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_316(x))
Eq(F_312(x), F_305(x) + F_313(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_13(x)*F_315(x))
Eq(F_315(x), F_312(x))
Eq(F_316(x), F_317(x) + F_318(x))
Eq(F_317(x), F_259(x))
Eq(F_318(x), F_319(x))
Eq(F_319(x), F_13(x)*F_320(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_317(x) + F_322(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_13(x)*F_324(x))
Eq(F_324(x), F_321(x))
Eq(F_325(x), F_13(x)*F_326(x))
Eq(F_326(x), F_327(x) + F_349(x))
Eq(F_327(x), F_328(x) + F_6(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_13(x)*F_330(x))
Eq(F_330(x), F_327(x) + F_331(x))
Eq(F_331(x), F_332(x) + F_333(x))
Eq(F_332(x), F_23(x))
Eq(F_333(x), 2*F_16(x) + F_334(x) + F_52(x))
Eq(F_334(x), F_13(x)*F_335(x))
Eq(F_335(x), F_336(x) + F_340(x))
Eq(F_336(x), F_332(x) + F_337(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_13(x)*F_339(x))
Eq(F_339(x), F_336(x))
Eq(F_340(x), F_341(x) + F_342(x))
Eq(F_341(x), F_63(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_13(x)*F_344(x))
Eq(F_344(x), F_345(x))
Eq(F_345(x), F_341(x) + F_346(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_13(x)*F_348(x))
Eq(F_348(x), F_345(x))
Eq(F_349(x), F_195(x) + F_350(x))
Eq(F_350(x), 2*F_16(x) + F_351(x) + F_75(x))
Eq(F_351(x), F_13(x)*F_352(x))
Eq(F_352(x), F_353(x) + F_375(x))
Eq(F_353(x), F_195(x) + F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_13(x)*F_356(x))
Eq(F_356(x), F_353(x) + F_357(x))
Eq(F_357(x), F_358(x) + F_359(x))
Eq(F_358(x), F_34(x))
Eq(F_359(x), 3*F_16(x) + F_360(x) + F_87(x))
Eq(F_360(x), F_13(x)*F_361(x))
Eq(F_361(x), F_362(x) + F_366(x))
Eq(F_362(x), F_358(x) + F_363(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_13(x)*F_365(x))
Eq(F_365(x), F_362(x))
Eq(F_366(x), F_367(x) + F_368(x))
Eq(F_367(x), F_98(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_13(x)*F_370(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_367(x) + F_372(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_13(x)*F_374(x))
Eq(F_374(x), F_371(x))
Eq(F_375(x), F_376(x) + F_377(x))
Eq(F_376(x), 2*F_16(x) + F_167(x) + F_30(x))
Eq(F_377(x), F_110(x) + 3*F_16(x) + F_378(x))
Eq(F_378(x), F_13(x)*F_379(x))
Eq(F_379(x), F_380(x) + F_384(x))
Eq(F_380(x), F_376(x) + F_381(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_13(x)*F_383(x))
Eq(F_383(x), F_380(x))
Eq(F_384(x), F_385(x) + F_386(x))
Eq(F_385(x), F_120(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_13(x)*F_388(x))
Eq(F_388(x), F_389(x))
Eq(F_389(x), F_385(x) + F_390(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_13(x)*F_392(x))
Eq(F_392(x), F_389(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [1], "ignore_parent": false, "partial": false, "place_col": false, "place_row": true, "strategy_class": "RowAndColumnPlacementFactory"}]], "inferral_strats": [], "initial_strats": [{"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": true, "maxreqlen": 1, "one_cell_only": true, "strategy_class": "CellInsertionFactory"}], "iterative": false, "name": "regular_insertion_encoding_bottom", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 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