0123_0321_1320_2130

Counting sequence:
1, 1, 2, 6, 20, 61, 158, 358, 777, 1622, 3296, 6573, 12918, 25102, 48345, 92442, 175728, 332441, 626386, 1176266, 2202589, 4114458, 7670036, 14273033, 26520210, 49211922, 91216501, 168908622, 312508380, 577764837, 1067484518, 1971191758, 3638177825, 6712024846, 12378301896, 22820582789, 42059895230, 77499843846, 142770371505, 262961224162, 484252602744, 891636475233, 1641523742202, 3021738537074, 5561897911477, 10236485064626, 18838445544028, 34666477424865, 63789380969114, 117371925778346, 215953378948269, 397317902312022, 730972018430884, 1344775327699725, 2473926087843438, 4551066301383414, 8372021423736761, 15400660387183174, 28329648393333104, 52111877059502365, 95857632976297734, 176324152420661630, 324334103584269257, 596581324100564586, 1097345456352638976, 2018432195403952297, 3712636163470778850, 6828862314207472602, 12560656359675929229, 23103329022928008650, 42494747568978963940, 78161807009324283257, 143764857531140190754, 264429460097093754306, 486369146555117479589, 894584534088560992286, 1645417232563541045100, 3026426074935197903541, 5566517095138047146422, 10238504817915511687134, 18831681656818229534673, 34637081653979986757886, 63707879881651399166936, 117177633029495485036405, 215524196155110411725390, 396412300493286706269814, 729118322694905554136865, 1341061603787345033578418, 2466603204436592606536712, 4536800892823940868249969, 8344494440414031494914698, 15347945038945815630248962, 28229315612821191640510821, 51921876834089693073319266, 95499334468402758298821036, 175650845639768355275037905, 323072572649261576864306986, 594223587188888172917681498, 1092948355616374357753670749, 2010246700024435842711819174, 3697422177538066361255975732

Generating function in Maple syntax:
(5*x^8+12*x^7-7*x^6-11*x^5-7*x^4-3*x^3+2*x-1)/(x-1)/(x^2+x-1)/(x^3+x^2+x-1)

Generating function in latex syntax:
\frac{5 x^{8}+12 x^{7}-7 x^{6}-11 x^{5}-7 x^{4}-3 x^{3}+2 x -1}{\left(x -1\right) \left(x^{2}+x -1\right) \left(x^{3}+x^{2}+x -1\right)}

Generating function in sympy syntax:
(5*x**8 + 12*x**7 - 7*x**6 - 11*x**5 - 7*x**4 - 3*x**3 + 2*x - 1)/((x - 1)*(x**2 + x - 1)*(x**3 + x**2 + x - 1))

Implicit equation for the generating function in Maple syntax:
-(x-1)*(x^2+x-1)*(x^3+x^2+x-1)*F(x)+5*x^8+12*x^7-7*x^6-11*x^5-7*x^4-3*x^3+2*x-1 = 0

Implicit equation for the generating function in latex syntax:
-\left(x -1\right) \left(x^{2}+x -1\right) \left(x^{3}+x^{2}+x -1\right) F \! \left(x \right)+5 x^{8}+12 x^{7}-7 x^{6}-11 x^{5}-7 x^{4}-3 x^{3}+2 x -1 = 0

Explicit closed form in Maple syntax:
piecewise(n = 0,1,n = 1,1,n = 2,2,1/660*(((-135*11^(1/2)+385*I)*3^(1/2)-405*I*11^(1/2)+385)*(17+3*11^(1/2)*3^(1/2))^(1/3)+4400+((285*11^(1/2)+1705*I)*3^(1/2)-855*I*11^(1/2)-1705)*(17+3*11^(1/2)*3^(1/2))^(2/3))*(1/24*((17*I+3*11^(1/2))*3^(1/2)-9*I*11^(1/2)-17)*(17+3*11^(1/2)*3^(1/2))^(2/3)-1/6*I*3^(1/2)*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/6*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3)^(-n)+1/660*(((285*11^(1/2)-1705*I)*3^(1/2)+855*I*11^(1/2)-1705)*(17+3*11^(1/2)*3^(1/2))^(2/3)+4400+((-135*11^(1/2)-385*I)*3^(1/2)+405*I*11^(1/2)+385)*(17+3*11^(1/2)*3^(1/2))^(1/3))*(1/24*((-17*I+3*11^(1/2))*3^(1/2)+9*I*11^(1/2)-17)*(17+3*11^(1/2)*3^(1/2))^(2/3)+1/6*I*3^(1/2)*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/6*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3)^(-n)+1/660*((-570*11^(1/2)*3^(1/2)+3410)*(17+3*11^(1/2)*3^(1/2))^(2/3)+270*11^(1/2)*3^(1/2)*(17+3*11^(1/2)*3^(1/2))^(1/3)-770*(17+3*11^(1/2)*3^(1/2))^(1/3)+4400)*(1/3*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3+17/12*(17+3*11^(1/2)*3^(1/2))^(2/3)-1/4*(17+3*11^(1/2)*3^(1/2))^(2/3)*11^(1/2)*3^(1/2))^(-n)+1/660*(3366*5^(1/2)-4950)*(-1/2*5^(1/2)-1/2)^(-n)+5+1/660*(-3366*5^(1/2)-4950)*(1/2*5^(1/2)-1/2)^(-n))

Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ 1 & n =1 \\ 2 & n =2 \\ \frac{\left(\left(\left(-135 \sqrt{11}+385 \,\mathrm{I}\right) \sqrt{3}-405 \,\mathrm{I} \sqrt{11}+385\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}+4400+\left(\left(285 \sqrt{11}+1705 \,\mathrm{I}\right) \sqrt{3}-855 \,\mathrm{I} \sqrt{11}-1705\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}\right) \left(\frac{\left(\left(17 \,\mathrm{I}+3 \sqrt{11}\right) \sqrt{3}-9 \,\mathrm{I} \sqrt{11}-17\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{24}-\frac{\mathrm{I} \sqrt{3}\, \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{1}{3}\right)^{-n}}{660}\\+\\\frac{\left(\left(\left(285 \sqrt{11}-1705 \,\mathrm{I}\right) \sqrt{3}+855 \,\mathrm{I} \sqrt{11}-1705\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}+4400+\left(\left(-135 \sqrt{11}-385 \,\mathrm{I}\right) \sqrt{3}+405 \,\mathrm{I} \sqrt{11}+385\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}\right) \left(\frac{\left(\left(-17 \,\mathrm{I}+3 \sqrt{11}\right) \sqrt{3}+9 \,\mathrm{I} \sqrt{11}-17\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{24}+\frac{\mathrm{I} \sqrt{3}\, \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{1}{3}\right)^{-n}}{660}\\+\\\frac{\left(\left(-570 \sqrt{11}\, \sqrt{3}+3410\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}+270 \sqrt{11}\, \sqrt{3}\, \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}-770 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}+4400\right) \left(\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{3}-\frac{1}{3}+\frac{17 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{12}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}} \sqrt{11}\, \sqrt{3}}{4}\right)^{-n}}{660}\\+\frac{\left(3366 \sqrt{5}-4950\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{660}+5+\\\frac{\left(-3366 \sqrt{5}-4950\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{660} & \mathit{\text{otherwise}} \end{array}\right.

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
a(5) = 61
a(6) = 158
a(7) = 358
a(8) = 777
a(n+5) = -a(n)-2*a(n+1)-a(n+2)+a(n+3)+2*a(n+4)+10, n >= 9

Recurrence in latex format:
a \! \left(0\right) = 1
a \! \left(1\right) = 1
a \! \left(2\right) = 2
a \! \left(3\right) = 6
a \! \left(4\right) = 20
a \! \left(5\right) = 61
a \! \left(6\right) = 158
a \! \left(7\right) = 358
a \! \left(8\right) = 777
a \! \left(n +5\right) = -a \! \left(n \right)-2 a \! \left(n +1\right)-a \! \left(n +2\right)+a \! \left(n +3\right)+2 a \! \left(n +4\right)+10, \quad n \geq 9

Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15126/
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[29,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[14,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[1,x]+F[4,x]
F[14,x] = F[15,x]+F[17,x]
F[15,x] = F[16,x]
F[16,x] = F[13,x]*F[4,x]
F[17,x] = F[18,x]+F[19,x]+F[24,x]
F[18,x] = 0
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[11,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[4,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[15,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[4,x]
F[29,x] = F[2,x]+F[30,x]
F[30,x] = F[18,x]+F[268,x]+F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[55,x]
F[33,x] = F[34,x]+F[7,x]
F[34,x] = F[18,x]+F[35,x]+F[46,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[11,x]+F[38,x]
F[38,x] = F[22,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[11,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[38,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[14,x]+F[48,x]
F[48,x] = F[49,x]+F[50,x]
F[49,x] = F[27,x]
F[50,x] = 2*F[18,x]+F[51,x]+F[53,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[21,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[49,x]
F[55,x] = F[123,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]
F[58,x] = F[59,x]+F[65,x]
F[59,x] = F[60,x]+F[7,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[11,x]
F[64,x] = F[40,x]
F[65,x] = F[56,x]+F[66,x]
F[66,x] = 2*F[18,x]+F[67,x]+F[88,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[60,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[64,x]
F[73,x] = F[74,x]+F[79,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[60,x]
F[78,x] = F[74,x]
F[79,x] = F[80,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[70,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[70,x]
F[87,x] = F[84,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[117,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = F[94,x]+F[96,x]
F[94,x] = F[11,x]+F[95,x]
F[95,x] = F[61,x]
F[96,x] = F[91,x]+F[97,x]
F[97,x] = 2*F[18,x]+F[88,x]+F[98,x]
F[98,x] = F[4,x]*F[99,x]
F[99,x] = F[100,x]+F[102,x]
F[100,x] = F[101,x]+F[95,x]
F[101,x] = F[71,x]
F[102,x] = F[103,x]+F[108,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[4,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[95,x]
F[107,x] = F[103,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[4,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[101,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[116,x]
F[115,x] = F[101,x]
F[116,x] = F[113,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[4,x]
F[120,x] = F[121,x]+F[122,x]
F[121,x] = F[40,x]
F[122,x] = F[118,x]
F[123,x] = 2*F[18,x]+F[124,x]+F[229,x]
F[124,x] = F[125,x]*F[4,x]
F[125,x] = F[126,x]+F[136,x]
F[126,x] = F[127,x]+F[34,x]
F[127,x] = 2*F[18,x]+F[128,x]+F[134,x]
F[128,x] = F[129,x]*F[4,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[38,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[4,x]
F[133,x] = F[38,x]
F[134,x] = F[135,x]*F[4,x]
F[135,x] = F[39,x]
F[136,x] = F[137,x]+F[203,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[4,x]
F[139,x] = F[140,x]+F[146,x]
F[140,x] = F[141,x]+F[34,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[4,x]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = F[38,x]
F[145,x] = F[132,x]
F[146,x] = F[137,x]+F[147,x]
F[147,x] = 3*F[18,x]+F[148,x]+F[169,x]
F[148,x] = F[149,x]*F[4,x]
F[149,x] = F[150,x]+F[154,x]
F[150,x] = F[141,x]+F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[4,x]
F[153,x] = F[145,x]
F[154,x] = F[155,x]+F[160,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[4,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[141,x]
F[159,x] = F[155,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[4,x]
F[162,x] = F[163,x]+F[164,x]
F[163,x] = F[151,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]*F[4,x]
F[166,x] = F[167,x]+F[168,x]
F[167,x] = F[151,x]
F[168,x] = F[165,x]
F[169,x] = F[170,x]*F[4,x]
F[170,x] = F[171,x]+F[198,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[4,x]
F[174,x] = F[175,x]+F[177,x]
F[175,x] = F[176,x]+F[38,x]
F[176,x] = F[142,x]
F[177,x] = F[172,x]+F[178,x]
F[178,x] = 3*F[18,x]+F[169,x]+F[179,x]
F[179,x] = F[180,x]*F[4,x]
F[180,x] = F[181,x]+F[183,x]
F[181,x] = F[176,x]+F[182,x]
F[182,x] = F[152,x]
F[183,x] = F[184,x]+F[189,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[4,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[176,x]
F[188,x] = F[184,x]
F[189,x] = F[190,x]
F[190,x] = F[191,x]*F[4,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[182,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[182,x]
F[197,x] = F[194,x]
F[198,x] = F[199,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[132,x]
F[202,x] = F[199,x]
F[203,x] = 3*F[18,x]+F[204,x]+F[225,x]
F[204,x] = F[205,x]*F[4,x]
F[205,x] = F[206,x]+F[210,x]
F[206,x] = F[127,x]+F[207,x]
F[207,x] = F[208,x]
F[208,x] = F[209,x]*F[4,x]
F[209,x] = F[131,x]
F[210,x] = F[211,x]+F[216,x]
F[211,x] = F[212,x]
F[212,x] = F[213,x]*F[4,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[127,x]
F[215,x] = F[211,x]
F[216,x] = F[217,x]
F[217,x] = F[218,x]*F[4,x]
F[218,x] = F[219,x]+F[220,x]
F[219,x] = F[207,x]
F[220,x] = F[221,x]
F[221,x] = F[222,x]*F[4,x]
F[222,x] = F[223,x]+F[224,x]
F[223,x] = F[207,x]
F[224,x] = F[221,x]
F[225,x] = F[226,x]*F[4,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[172,x]
F[228,x] = F[199,x]
F[229,x] = F[230,x]*F[4,x]
F[230,x] = F[231,x]+F[258,x]
F[231,x] = F[232,x]+F[91,x]
F[232,x] = F[233,x]
F[233,x] = F[234,x]*F[4,x]
F[234,x] = F[235,x]+F[237,x]
F[235,x] = F[236,x]+F[38,x]
F[236,x] = F[128,x]
F[237,x] = F[172,x]+F[238,x]
F[238,x] = 3*F[18,x]+F[225,x]+F[239,x]
F[239,x] = F[240,x]*F[4,x]
F[240,x] = F[241,x]+F[243,x]
F[241,x] = F[236,x]+F[242,x]
F[242,x] = F[208,x]
F[243,x] = F[244,x]+F[249,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[4,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[236,x]
F[248,x] = F[244,x]
F[249,x] = F[250,x]
F[250,x] = F[251,x]*F[4,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[242,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]
F[255,x] = F[256,x]+F[257,x]
F[256,x] = F[242,x]
F[257,x] = F[254,x]
F[258,x] = F[118,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[43,x]
F[263,x] = F[264,x]
F[264,x] = F[265,x]*F[4,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[43,x]
F[267,x] = F[264,x]
F[268,x] = F[269,x]*F[4,x]
F[269,x] = F[270,x]+F[372,x]
F[270,x] = F[2,x]+F[271,x]
F[271,x] = F[18,x]+F[272,x]+F[329,x]
F[272,x] = F[273,x]*F[4,x]
F[273,x] = F[274,x]+F[276,x]
F[274,x] = F[11,x]+F[275,x]
F[275,x] = F[18,x]+F[24,x]+F[35,x]
F[276,x] = F[277,x]+F[91,x]
F[277,x] = 2*F[18,x]+F[229,x]+F[278,x]
F[278,x] = F[279,x]*F[4,x]
F[279,x] = F[280,x]+F[282,x]
F[280,x] = F[275,x]+F[281,x]
F[281,x] = 2*F[18,x]+F[128,x]+F[134,x]
F[282,x] = F[283,x]+F[309,x]
F[283,x] = F[284,x]
F[284,x] = F[285,x]*F[4,x]
F[285,x] = F[286,x]+F[288,x]
F[286,x] = F[275,x]+F[287,x]
F[287,x] = F[142,x]
F[288,x] = F[283,x]+F[289,x]
F[289,x] = 3*F[18,x]+F[169,x]+F[290,x]
F[290,x] = F[291,x]*F[4,x]
F[291,x] = F[292,x]+F[294,x]
F[292,x] = F[287,x]+F[293,x]
F[293,x] = F[152,x]
F[294,x] = F[295,x]+F[300,x]
F[295,x] = F[296,x]
F[296,x] = F[297,x]*F[4,x]
F[297,x] = F[298,x]+F[299,x]
F[298,x] = F[287,x]
F[299,x] = F[295,x]
F[300,x] = F[301,x]
F[301,x] = F[302,x]*F[4,x]
F[302,x] = F[303,x]+F[304,x]
F[303,x] = F[293,x]
F[304,x] = F[305,x]
F[305,x] = F[306,x]*F[4,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[293,x]
F[308,x] = F[305,x]
F[309,x] = 3*F[18,x]+F[225,x]+F[310,x]
F[310,x] = F[311,x]*F[4,x]
F[311,x] = F[312,x]+F[314,x]
F[312,x] = F[281,x]+F[313,x]
F[313,x] = F[208,x]
F[314,x] = F[315,x]+F[320,x]
F[315,x] = F[316,x]
F[316,x] = F[317,x]*F[4,x]
F[317,x] = F[318,x]+F[319,x]
F[318,x] = F[281,x]
F[319,x] = F[315,x]
F[320,x] = F[321,x]
F[321,x] = F[322,x]*F[4,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[313,x]
F[324,x] = F[325,x]
F[325,x] = F[326,x]*F[4,x]
F[326,x] = F[327,x]+F[328,x]
F[327,x] = F[313,x]
F[328,x] = F[325,x]
F[329,x] = F[330,x]*F[4,x]
F[330,x] = F[2,x]+F[331,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]*F[4,x]
F[333,x] = F[334,x]+F[340,x]
F[334,x] = F[335,x]+F[4,x]
F[335,x] = F[336,x]
F[336,x] = F[337,x]*F[4,x]
F[337,x] = F[338,x]+F[339,x]
F[338,x] = F[4,x]
F[339,x] = F[26,x]
F[340,x] = F[331,x]+F[341,x]
F[341,x] = 2*F[18,x]+F[342,x]+F[363,x]
F[342,x] = F[343,x]*F[4,x]
F[343,x] = F[344,x]+F[348,x]
F[344,x] = F[335,x]+F[345,x]
F[345,x] = F[346,x]
F[346,x] = F[347,x]*F[4,x]
F[347,x] = F[339,x]
F[348,x] = F[349,x]+F[354,x]
F[349,x] = F[350,x]
F[350,x] = F[351,x]*F[4,x]
F[351,x] = F[352,x]+F[353,x]
F[352,x] = F[335,x]
F[353,x] = F[349,x]
F[354,x] = F[355,x]
F[355,x] = F[356,x]*F[4,x]
F[356,x] = F[357,x]+F[358,x]
F[357,x] = F[345,x]
F[358,x] = F[359,x]
F[359,x] = F[360,x]*F[4,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[345,x]
F[362,x] = F[359,x]
F[363,x] = F[364,x]*F[4,x]
F[364,x] = F[365,x]+F[366,x]
F[365,x] = F[331,x]
F[366,x] = F[367,x]
F[367,x] = F[368,x]
F[368,x] = F[369,x]*F[4,x]
F[369,x] = F[370,x]+F[371,x]
F[370,x] = F[26,x]
F[371,x] = F[367,x]
F[372,x] = F[373,x]+F[399,x]
F[373,x] = F[374,x]
F[374,x] = F[375,x]*F[4,x]
F[375,x] = F[376,x]+F[378,x]
F[376,x] = F[15,x]+F[377,x]
F[377,x] = F[336,x]
F[378,x] = F[373,x]+F[379,x]
F[379,x] = 2*F[18,x]+F[363,x]+F[380,x]
F[380,x] = F[381,x]*F[4,x]
F[381,x] = F[382,x]+F[384,x]
F[382,x] = F[377,x]+F[383,x]
F[383,x] = F[346,x]
F[384,x] = F[385,x]+F[390,x]
F[385,x] = F[386,x]
F[386,x] = F[387,x]*F[4,x]
F[387,x] = F[388,x]+F[389,x]
F[388,x] = F[377,x]
F[389,x] = F[385,x]
F[390,x] = F[391,x]
F[391,x] = F[392,x]*F[4,x]
F[392,x] = F[393,x]+F[394,x]
F[393,x] = F[383,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]*F[4,x]
F[396,x] = F[397,x]+F[398,x]
F[397,x] = F[383,x]
F[398,x] = F[395,x]
F[399,x] = 2*F[18,x]+F[400,x]+F[503,x]
F[400,x] = F[4,x]*F[401,x]
F[401,x] = F[402,x]+F[410,x]
F[402,x] = F[17,x]+F[403,x]
F[403,x] = 2*F[18,x]+F[404,x]+F[53,x]
F[404,x] = F[4,x]*F[405,x]
F[405,x] = F[406,x]+F[407,x]
F[406,x] = F[21,x]
F[407,x] = F[408,x]
F[408,x] = F[4,x]*F[409,x]
F[409,x] = F[21,x]
F[410,x] = F[411,x]+F[477,x]
F[411,x] = F[412,x]
F[412,x] = F[4,x]*F[413,x]
F[413,x] = F[414,x]+F[420,x]
F[414,x] = F[17,x]+F[415,x]
F[415,x] = F[416,x]
F[416,x] = F[4,x]*F[417,x]
F[417,x] = F[418,x]+F[419,x]
F[418,x] = F[21,x]
F[419,x] = F[408,x]
F[420,x] = F[411,x]+F[421,x]
F[421,x] = 3*F[18,x]+F[422,x]+F[443,x]
F[422,x] = F[4,x]*F[423,x]
F[423,x] = F[424,x]+F[428,x]
F[424,x] = F[415,x]+F[425,x]
F[425,x] = F[426,x]
F[426,x] = F[4,x]*F[427,x]
F[427,x] = F[419,x]
F[428,x] = F[429,x]+F[434,x]
F[429,x] = F[430,x]
F[430,x] = F[4,x]*F[431,x]
F[431,x] = F[432,x]+F[433,x]
F[432,x] = F[415,x]
F[433,x] = F[429,x]
F[434,x] = F[435,x]
F[435,x] = F[4,x]*F[436,x]
F[436,x] = F[437,x]+F[438,x]
F[437,x] = F[425,x]
F[438,x] = F[439,x]
F[439,x] = F[4,x]*F[440,x]
F[440,x] = F[441,x]+F[442,x]
F[441,x] = F[425,x]
F[442,x] = F[439,x]
F[443,x] = F[4,x]*F[444,x]
F[444,x] = F[445,x]+F[472,x]
F[445,x] = F[446,x]
F[446,x] = F[447,x]
F[447,x] = F[4,x]*F[448,x]
F[448,x] = F[449,x]+F[451,x]
F[449,x] = F[21,x]+F[450,x]
F[450,x] = F[416,x]
F[451,x] = F[446,x]+F[452,x]
F[452,x] = 3*F[18,x]+F[443,x]+F[453,x]
F[453,x] = F[4,x]*F[454,x]
F[454,x] = F[455,x]+F[457,x]
F[455,x] = F[450,x]+F[456,x]
F[456,x] = F[426,x]
F[457,x] = F[458,x]+F[463,x]
F[458,x] = F[459,x]
F[459,x] = F[4,x]*F[460,x]
F[460,x] = F[461,x]+F[462,x]
F[461,x] = F[450,x]
F[462,x] = F[458,x]
F[463,x] = F[464,x]
F[464,x] = F[4,x]*F[465,x]
F[465,x] = F[466,x]+F[467,x]
F[466,x] = F[456,x]
F[467,x] = F[468,x]
F[468,x] = F[4,x]*F[469,x]
F[469,x] = F[470,x]+F[471,x]
F[470,x] = F[456,x]
F[471,x] = F[468,x]
F[472,x] = F[473,x]
F[473,x] = F[4,x]*F[474,x]
F[474,x] = F[475,x]+F[476,x]
F[475,x] = F[408,x]
F[476,x] = F[473,x]
F[477,x] = 3*F[18,x]+F[478,x]+F[499,x]
F[478,x] = F[4,x]*F[479,x]
F[479,x] = F[480,x]+F[484,x]
F[480,x] = F[403,x]+F[481,x]
F[481,x] = F[482,x]
F[482,x] = F[4,x]*F[483,x]
F[483,x] = F[407,x]
F[484,x] = F[485,x]+F[490,x]
F[485,x] = F[486,x]
F[486,x] = F[4,x]*F[487,x]
F[487,x] = F[488,x]+F[489,x]
F[488,x] = F[403,x]
F[489,x] = F[485,x]
F[490,x] = F[491,x]
F[491,x] = F[4,x]*F[492,x]
F[492,x] = F[493,x]+F[494,x]
F[493,x] = F[481,x]
F[494,x] = F[495,x]
F[495,x] = F[4,x]*F[496,x]
F[496,x] = F[497,x]+F[498,x]
F[497,x] = F[481,x]
F[498,x] = F[495,x]
F[499,x] = F[4,x]*F[500,x]
F[500,x] = F[501,x]+F[502,x]
F[501,x] = F[446,x]
F[502,x] = F[473,x]
F[503,x] = F[4,x]*F[504,x]
F[504,x] = F[367,x]+F[373,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_{29}\! \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_{14}\! \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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{17}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{24}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{18}\! \left(x \right)+F_{268}\! \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_{55}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{7}\! \left(x \right)
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{46}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{11}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{38}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{14}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{27}\! \left(x \right)
F_{50}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{51}\! \left(x \right)+F_{53}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{49}\! \left(x \right)
F_{55}\! \left(x \right) = F_{123}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \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_{65}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{7}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{11}\! \left(x \right)
F_{64}\! \left(x \right) = F_{40}\! \left(x \right)
F_{65}\! \left(x \right) = F_{56}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{67}\! \left(x \right)+F_{88}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{60}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{64}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{79}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{60}\! \left(x \right)
F_{78}\! \left(x \right) = F_{74}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \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_{70}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{70}\! \left(x \right)
F_{87}\! \left(x \right) = F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{117}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{96}\! \left(x \right)
F_{94}\! \left(x \right) = F_{11}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{61}\! \left(x \right)
F_{96}\! \left(x \right) = F_{91}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{88}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{4}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{102}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{95}\! \left(x \right)
F_{101}\! \left(x \right) = F_{71}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{108}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \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_{95}\! \left(x \right)
F_{107}\! \left(x \right) = F_{103}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{101}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{116}\! \left(x \right)
F_{115}\! \left(x \right) = F_{101}\! \left(x \right)
F_{116}\! \left(x \right) = F_{113}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)
F_{121}\! \left(x \right) = F_{40}\! \left(x \right)
F_{122}\! \left(x \right) = F_{118}\! \left(x \right)
F_{123}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{124}\! \left(x \right)+F_{229}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{136}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{34}\! \left(x \right)
F_{127}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{128}\! \left(x \right)+F_{134}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{38}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = F_{38}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{4}\! \left(x \right)
F_{135}\! \left(x \right) = F_{39}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{203}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{146}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{34}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = F_{38}\! \left(x \right)
F_{145}\! \left(x \right) = F_{132}\! \left(x \right)
F_{146}\! \left(x \right) = F_{137}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{148}\! \left(x \right)+F_{169}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{154}\! \left(x \right)
F_{150}\! \left(x \right) = F_{141}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{4}\! \left(x \right)
F_{153}\! \left(x \right) = F_{145}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{160}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{141}\! \left(x \right)
F_{159}\! \left(x \right) = F_{155}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{164}\! \left(x \right)
F_{163}\! \left(x \right) = F_{151}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{4}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{168}\! \left(x \right)
F_{167}\! \left(x \right) = F_{151}\! \left(x \right)
F_{168}\! \left(x \right) = F_{165}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{198}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{4}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{177}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{38}\! \left(x \right)
F_{176}\! \left(x \right) = F_{142}\! \left(x \right)
F_{177}\! \left(x \right) = F_{172}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{169}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{183}\! \left(x \right)
F_{181}\! \left(x \right) = F_{176}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{152}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{189}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
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_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{176}\! \left(x \right)
F_{188}\! \left(x \right) = F_{184}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right) F_{4}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{182}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{182}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{132}\! \left(x \right)
F_{202}\! \left(x \right) = F_{199}\! \left(x \right)
F_{203}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{204}\! \left(x \right)+F_{225}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{4}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{210}\! \left(x \right)
F_{206}\! \left(x \right) = F_{127}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = F_{131}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{216}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{4}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{127}\! \left(x \right)
F_{215}\! \left(x \right) = F_{211}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{220}\! \left(x \right)
F_{219}\! \left(x \right) = F_{207}\! \left(x \right)
F_{220}\! \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_{224}\! \left(x \right)
F_{223}\! \left(x \right) = F_{207}\! \left(x \right)
F_{224}\! \left(x \right) = F_{221}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{228}\! \left(x \right)
F_{227}\! \left(x \right) = F_{172}\! \left(x \right)
F_{228}\! \left(x \right) = F_{199}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right) F_{4}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{258}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{91}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right) F_{4}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{237}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{38}\! \left(x \right)
F_{236}\! \left(x \right) = F_{128}\! \left(x \right)
F_{237}\! \left(x \right) = F_{172}\! \left(x \right)+F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{225}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right) F_{4}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{243}\! \left(x \right)
F_{241}\! \left(x \right) = F_{236}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{208}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{249}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{236}\! \left(x \right)
F_{248}\! \left(x \right) = F_{244}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right) F_{4}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{242}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{242}\! \left(x \right)
F_{257}\! \left(x \right) = F_{254}\! \left(x \right)
F_{258}\! \left(x \right) = F_{118}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{43}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right) F_{4}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{43}\! \left(x \right)
F_{267}\! \left(x \right) = F_{264}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{4}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{372}\! \left(x \right)
F_{270}\! \left(x \right) = F_{2}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{18}\! \left(x \right)+F_{272}\! \left(x \right)+F_{329}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{4}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{276}\! \left(x \right)
F_{274}\! \left(x \right) = F_{11}\! \left(x \right)+F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{18}\! \left(x \right)+F_{24}\! \left(x \right)+F_{35}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{91}\! \left(x \right)
F_{277}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{229}\! \left(x \right)+F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{4}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{282}\! \left(x \right)
F_{280}\! \left(x \right) = F_{275}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{128}\! \left(x \right)+F_{134}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{309}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right) F_{4}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{288}\! \left(x \right)
F_{286}\! \left(x \right) = F_{275}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{142}\! \left(x \right)
F_{288}\! \left(x \right) = F_{283}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{169}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{294}\! \left(x \right)
F_{292}\! \left(x \right) = F_{287}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{152}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{300}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right) F_{4}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)
F_{298}\! \left(x \right) = F_{287}\! \left(x \right)
F_{299}\! \left(x \right) = F_{295}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)
F_{303}\! \left(x \right) = F_{293}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right) F_{4}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{293}\! \left(x \right)
F_{308}\! \left(x \right) = F_{305}\! \left(x \right)
F_{309}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{225}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right) F_{4}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{314}\! \left(x \right)
F_{312}\! \left(x \right) = F_{281}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{208}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{320}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right) F_{4}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{319}\! \left(x \right)
F_{318}\! \left(x \right) = F_{281}\! \left(x \right)
F_{319}\! \left(x \right) = F_{315}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right) F_{4}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{313}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{4}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)
F_{327}\! \left(x \right) = F_{313}\! \left(x \right)
F_{328}\! \left(x \right) = F_{325}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right) F_{4}\! \left(x \right)
F_{330}\! \left(x \right) = F_{2}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right) F_{4}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{340}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{4}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right) F_{4}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{339}\! \left(x \right)
F_{338}\! \left(x \right) = F_{4}\! \left(x \right)
F_{339}\! \left(x \right) = F_{26}\! \left(x \right)
F_{340}\! \left(x \right) = F_{331}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{342}\! \left(x \right)+F_{363}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right) F_{4}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{348}\! \left(x \right)
F_{344}\! \left(x \right) = F_{335}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right) F_{4}\! \left(x \right)
F_{347}\! \left(x \right) = F_{339}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{354}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)+F_{353}\! \left(x \right)
F_{352}\! \left(x \right) = F_{335}\! \left(x \right)
F_{353}\! \left(x \right) = F_{349}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right) F_{4}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{358}\! \left(x \right)
F_{357}\! \left(x \right) = F_{345}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{345}\! \left(x \right)
F_{362}\! \left(x \right) = F_{359}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right) F_{4}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)+F_{366}\! \left(x \right)
F_{365}\! \left(x \right) = F_{331}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right) F_{4}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{371}\! \left(x \right)
F_{370}\! \left(x \right) = F_{26}\! \left(x \right)
F_{371}\! \left(x \right) = F_{367}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{399}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right) F_{4}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{378}\! \left(x \right)
F_{376}\! \left(x \right) = F_{15}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{336}\! \left(x \right)
F_{378}\! \left(x \right) = F_{373}\! \left(x \right)+F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{363}\! \left(x \right)+F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{4}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{384}\! \left(x \right)
F_{382}\! \left(x \right) = F_{377}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{346}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)+F_{390}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)+F_{389}\! \left(x \right)
F_{388}\! \left(x \right) = F_{377}\! \left(x \right)
F_{389}\! \left(x \right) = F_{385}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right) F_{4}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right)+F_{394}\! \left(x \right)
F_{393}\! \left(x \right) = F_{383}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{398}\! \left(x \right)
F_{397}\! \left(x \right) = F_{383}\! \left(x \right)
F_{398}\! \left(x \right) = F_{395}\! \left(x \right)
F_{399}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{400}\! \left(x \right)+F_{503}\! \left(x \right)
F_{400}\! \left(x \right) = F_{4}\! \left(x \right) F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{410}\! \left(x \right)
F_{402}\! \left(x \right) = F_{17}\! \left(x \right)+F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{404}\! \left(x \right)+F_{53}\! \left(x \right)
F_{404}\! \left(x \right) = F_{4}\! \left(x \right) F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{407}\! \left(x \right)
F_{406}\! \left(x \right) = F_{21}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{4}\! \left(x \right) F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{21}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{477}\! \left(x \right)
F_{411}\! \left(x \right) = F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{4}\! \left(x \right) F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{420}\! \left(x \right)
F_{414}\! \left(x \right) = F_{17}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{419}\! \left(x \right)
F_{418}\! \left(x \right) = F_{21}\! \left(x \right)
F_{419}\! \left(x \right) = F_{408}\! \left(x \right)
F_{420}\! \left(x \right) = F_{411}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{422}\! \left(x \right)+F_{443}\! \left(x \right)
F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{428}\! \left(x \right)
F_{424}\! \left(x \right) = F_{415}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{4}\! \left(x \right) F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = F_{419}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)+F_{434}\! \left(x \right)
F_{429}\! \left(x \right) = F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{4}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{433}\! \left(x \right)
F_{432}\! \left(x \right) = F_{415}\! \left(x \right)
F_{433}\! \left(x \right) = F_{429}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{4}\! \left(x \right) F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)+F_{438}\! \left(x \right)
F_{437}\! \left(x \right) = F_{425}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)
F_{439}\! \left(x \right) = F_{4}\! \left(x \right) F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{442}\! \left(x \right)
F_{441}\! \left(x \right) = F_{425}\! \left(x \right)
F_{442}\! \left(x \right) = F_{439}\! \left(x \right)
F_{443}\! \left(x \right) = F_{4}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)+F_{472}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{4}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{449}\! \left(x \right)+F_{451}\! \left(x \right)
F_{449}\! \left(x \right) = F_{21}\! \left(x \right)+F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = F_{416}\! \left(x \right)
F_{451}\! \left(x \right) = F_{446}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{443}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = F_{4}\! \left(x \right) F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{457}\! \left(x \right)
F_{455}\! \left(x \right) = F_{450}\! \left(x \right)+F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{426}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{463}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{4}\! \left(x \right) F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{461}\! \left(x \right)+F_{462}\! \left(x \right)
F_{461}\! \left(x \right) = F_{450}\! \left(x \right)
F_{462}\! \left(x \right) = F_{458}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{4}\! \left(x \right) F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)+F_{467}\! \left(x \right)
F_{466}\! \left(x \right) = F_{456}\! \left(x \right)
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = F_{4}\! \left(x \right) F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = F_{470}\! \left(x \right)+F_{471}\! \left(x \right)
F_{470}\! \left(x \right) = F_{456}\! \left(x \right)
F_{471}\! \left(x \right) = F_{468}\! \left(x \right)
F_{472}\! \left(x \right) = F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{4}\! \left(x \right) F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{475}\! \left(x \right)+F_{476}\! \left(x \right)
F_{475}\! \left(x \right) = F_{408}\! \left(x \right)
F_{476}\! \left(x \right) = F_{473}\! \left(x \right)
F_{477}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{478}\! \left(x \right)+F_{499}\! \left(x \right)
F_{478}\! \left(x \right) = F_{4}\! \left(x \right) F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{484}\! \left(x \right)
F_{480}\! \left(x \right) = F_{403}\! \left(x \right)+F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = F_{4}\! \left(x \right) F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = F_{407}\! \left(x \right)
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)+F_{490}\! \left(x \right)
F_{485}\! \left(x \right) = F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{4}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)+F_{489}\! \left(x \right)
F_{488}\! \left(x \right) = F_{403}\! \left(x \right)
F_{489}\! \left(x \right) = F_{485}\! \left(x \right)
F_{490}\! \left(x \right) = F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = F_{4}\! \left(x \right) F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{494}\! \left(x \right)
F_{493}\! \left(x \right) = F_{481}\! \left(x \right)
F_{494}\! \left(x \right) = F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{4}\! \left(x \right) F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{498}\! \left(x \right)
F_{497}\! \left(x \right) = F_{481}\! \left(x \right)
F_{498}\! \left(x \right) = F_{495}\! \left(x \right)
F_{499}\! \left(x \right) = F_{4}\! \left(x \right) F_{500}\! \left(x \right)
F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{502}\! \left(x \right)
F_{501}\! \left(x \right) = F_{446}\! \left(x \right)
F_{502}\! \left(x \right) = F_{473}\! \left(x \right)
F_{503}\! \left(x \right) = F_{4}\! \left(x \right) F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{367}\! \left(x \right)+F_{373}\! \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_29(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_14(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_1(x) + F_4(x))
Eq(F_14(x), F_15(x) + F_17(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_13(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_24(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_11(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_4(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_15(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_4(x))
Eq(F_29(x), F_2(x) + F_30(x))
Eq(F_30(x), F_18(x) + F_268(x) + F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_55(x))
Eq(F_33(x), F_34(x) + F_7(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_46(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_11(x) + F_38(x))
Eq(F_38(x), F_22(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_11(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_38(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_14(x) + F_48(x))
Eq(F_48(x), F_49(x) + F_50(x))
Eq(F_49(x), F_27(x))
Eq(F_50(x), 2*F_18(x) + F_51(x) + F_53(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_21(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_49(x))
Eq(F_55(x), F_123(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_65(x))
Eq(F_59(x), F_60(x) + F_7(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_11(x))
Eq(F_64(x), F_40(x))
Eq(F_65(x), F_56(x) + F_66(x))
Eq(F_66(x), 2*F_18(x) + F_67(x) + F_88(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_60(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_64(x))
Eq(F_73(x), F_74(x) + F_79(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_60(x))
Eq(F_78(x), F_74(x))
Eq(F_79(x), F_80(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_70(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_70(x))
Eq(F_87(x), F_84(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_117(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_96(x))
Eq(F_94(x), F_11(x) + F_95(x))
Eq(F_95(x), F_61(x))
Eq(F_96(x), F_91(x) + F_97(x))
Eq(F_97(x), 2*F_18(x) + F_88(x) + F_98(x))
Eq(F_98(x), F_4(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_102(x))
Eq(F_100(x), F_101(x) + F_95(x))
Eq(F_101(x), F_71(x))
Eq(F_102(x), F_103(x) + F_108(x))
Eq(F_103(x), F_104(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_95(x))
Eq(F_107(x), F_103(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_4(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_101(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_116(x))
Eq(F_115(x), F_101(x))
Eq(F_116(x), F_113(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_4(x))
Eq(F_120(x), F_121(x) + F_122(x))
Eq(F_121(x), F_40(x))
Eq(F_122(x), F_118(x))
Eq(F_123(x), F_124(x) + 2*F_18(x) + F_229(x))
Eq(F_124(x), F_125(x)*F_4(x))
Eq(F_125(x), F_126(x) + F_136(x))
Eq(F_126(x), F_127(x) + F_34(x))
Eq(F_127(x), F_128(x) + F_134(x) + 2*F_18(x))
Eq(F_128(x), F_129(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_38(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_4(x))
Eq(F_133(x), F_38(x))
Eq(F_134(x), F_135(x)*F_4(x))
Eq(F_135(x), F_39(x))
Eq(F_136(x), F_137(x) + F_203(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_4(x))
Eq(F_139(x), F_140(x) + F_146(x))
Eq(F_140(x), F_141(x) + F_34(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_4(x))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_38(x))
Eq(F_145(x), F_132(x))
Eq(F_146(x), F_137(x) + F_147(x))
Eq(F_147(x), F_148(x) + F_169(x) + 3*F_18(x))
Eq(F_148(x), F_149(x)*F_4(x))
Eq(F_149(x), F_150(x) + F_154(x))
Eq(F_150(x), F_141(x) + F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_4(x))
Eq(F_153(x), F_145(x))
Eq(F_154(x), F_155(x) + F_160(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_4(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_141(x))
Eq(F_159(x), F_155(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_4(x))
Eq(F_162(x), F_163(x) + F_164(x))
Eq(F_163(x), F_151(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x)*F_4(x))
Eq(F_166(x), F_167(x) + F_168(x))
Eq(F_167(x), F_151(x))
Eq(F_168(x), F_165(x))
Eq(F_169(x), F_170(x)*F_4(x))
Eq(F_170(x), F_171(x) + F_198(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_4(x))
Eq(F_174(x), F_175(x) + F_177(x))
Eq(F_175(x), F_176(x) + F_38(x))
Eq(F_176(x), F_142(x))
Eq(F_177(x), F_172(x) + F_178(x))
Eq(F_178(x), F_169(x) + F_179(x) + 3*F_18(x))
Eq(F_179(x), F_180(x)*F_4(x))
Eq(F_180(x), F_181(x) + F_183(x))
Eq(F_181(x), F_176(x) + F_182(x))
Eq(F_182(x), F_152(x))
Eq(F_183(x), F_184(x) + F_189(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_4(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_176(x))
Eq(F_188(x), F_184(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_191(x)*F_4(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_182(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_182(x))
Eq(F_197(x), F_194(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_132(x))
Eq(F_202(x), F_199(x))
Eq(F_203(x), 3*F_18(x) + F_204(x) + F_225(x))
Eq(F_204(x), F_205(x)*F_4(x))
Eq(F_205(x), F_206(x) + F_210(x))
Eq(F_206(x), F_127(x) + F_207(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_209(x)*F_4(x))
Eq(F_209(x), F_131(x))
Eq(F_210(x), F_211(x) + F_216(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_213(x)*F_4(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_127(x))
Eq(F_215(x), F_211(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_218(x)*F_4(x))
Eq(F_218(x), F_219(x) + F_220(x))
Eq(F_219(x), F_207(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_222(x)*F_4(x))
Eq(F_222(x), F_223(x) + F_224(x))
Eq(F_223(x), F_207(x))
Eq(F_224(x), F_221(x))
Eq(F_225(x), F_226(x)*F_4(x))
Eq(F_226(x), F_227(x) + F_228(x))
Eq(F_227(x), F_172(x))
Eq(F_228(x), F_199(x))
Eq(F_229(x), F_230(x)*F_4(x))
Eq(F_230(x), F_231(x) + F_258(x))
Eq(F_231(x), F_232(x) + F_91(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_234(x)*F_4(x))
Eq(F_234(x), F_235(x) + F_237(x))
Eq(F_235(x), F_236(x) + F_38(x))
Eq(F_236(x), F_128(x))
Eq(F_237(x), F_172(x) + F_238(x))
Eq(F_238(x), 3*F_18(x) + F_225(x) + F_239(x))
Eq(F_239(x), F_240(x)*F_4(x))
Eq(F_240(x), F_241(x) + F_243(x))
Eq(F_241(x), F_236(x) + F_242(x))
Eq(F_242(x), F_208(x))
Eq(F_243(x), F_244(x) + F_249(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_4(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_236(x))
Eq(F_248(x), F_244(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_251(x)*F_4(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_242(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x))
Eq(F_255(x), F_256(x) + F_257(x))
Eq(F_256(x), F_242(x))
Eq(F_257(x), F_254(x))
Eq(F_258(x), F_118(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_43(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_265(x)*F_4(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_43(x))
Eq(F_267(x), F_264(x))
Eq(F_268(x), F_269(x)*F_4(x))
Eq(F_269(x), F_270(x) + F_372(x))
Eq(F_270(x), F_2(x) + F_271(x))
Eq(F_271(x), F_18(x) + F_272(x) + F_329(x))
Eq(F_272(x), F_273(x)*F_4(x))
Eq(F_273(x), F_274(x) + F_276(x))
Eq(F_274(x), F_11(x) + F_275(x))
Eq(F_275(x), F_18(x) + F_24(x) + F_35(x))
Eq(F_276(x), F_277(x) + F_91(x))
Eq(F_277(x), 2*F_18(x) + F_229(x) + F_278(x))
Eq(F_278(x), F_279(x)*F_4(x))
Eq(F_279(x), F_280(x) + F_282(x))
Eq(F_280(x), F_275(x) + F_281(x))
Eq(F_281(x), F_128(x) + F_134(x) + 2*F_18(x))
Eq(F_282(x), F_283(x) + F_309(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_285(x)*F_4(x))
Eq(F_285(x), F_286(x) + F_288(x))
Eq(F_286(x), F_275(x) + F_287(x))
Eq(F_287(x), F_142(x))
Eq(F_288(x), F_283(x) + F_289(x))
Eq(F_289(x), F_169(x) + 3*F_18(x) + F_290(x))
Eq(F_290(x), F_291(x)*F_4(x))
Eq(F_291(x), F_292(x) + F_294(x))
Eq(F_292(x), F_287(x) + F_293(x))
Eq(F_293(x), F_152(x))
Eq(F_294(x), F_295(x) + F_300(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_297(x)*F_4(x))
Eq(F_297(x), F_298(x) + F_299(x))
Eq(F_298(x), F_287(x))
Eq(F_299(x), F_295(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_302(x)*F_4(x))
Eq(F_302(x), F_303(x) + F_304(x))
Eq(F_303(x), F_293(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_306(x)*F_4(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_293(x))
Eq(F_308(x), F_305(x))
Eq(F_309(x), 3*F_18(x) + F_225(x) + F_310(x))
Eq(F_310(x), F_311(x)*F_4(x))
Eq(F_311(x), F_312(x) + F_314(x))
Eq(F_312(x), F_281(x) + F_313(x))
Eq(F_313(x), F_208(x))
Eq(F_314(x), F_315(x) + F_320(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_317(x)*F_4(x))
Eq(F_317(x), F_318(x) + F_319(x))
Eq(F_318(x), F_281(x))
Eq(F_319(x), F_315(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x)*F_4(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_313(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_326(x)*F_4(x))
Eq(F_326(x), F_327(x) + F_328(x))
Eq(F_327(x), F_313(x))
Eq(F_328(x), F_325(x))
Eq(F_329(x), F_330(x)*F_4(x))
Eq(F_330(x), F_2(x) + F_331(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x)*F_4(x))
Eq(F_333(x), F_334(x) + F_340(x))
Eq(F_334(x), F_335(x) + F_4(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_337(x)*F_4(x))
Eq(F_337(x), F_338(x) + F_339(x))
Eq(F_338(x), F_4(x))
Eq(F_339(x), F_26(x))
Eq(F_340(x), F_331(x) + F_341(x))
Eq(F_341(x), 2*F_18(x) + F_342(x) + F_363(x))
Eq(F_342(x), F_343(x)*F_4(x))
Eq(F_343(x), F_344(x) + F_348(x))
Eq(F_344(x), F_335(x) + F_345(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_347(x)*F_4(x))
Eq(F_347(x), F_339(x))
Eq(F_348(x), F_349(x) + F_354(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x)*F_4(x))
Eq(F_351(x), F_352(x) + F_353(x))
Eq(F_352(x), F_335(x))
Eq(F_353(x), F_349(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_356(x)*F_4(x))
Eq(F_356(x), F_357(x) + F_358(x))
Eq(F_357(x), F_345(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_360(x)*F_4(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_345(x))
Eq(F_362(x), F_359(x))
Eq(F_363(x), F_364(x)*F_4(x))
Eq(F_364(x), F_365(x) + F_366(x))
Eq(F_365(x), F_331(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_368(x))
Eq(F_368(x), F_369(x)*F_4(x))
Eq(F_369(x), F_370(x) + F_371(x))
Eq(F_370(x), F_26(x))
Eq(F_371(x), F_367(x))
Eq(F_372(x), F_373(x) + F_399(x))
Eq(F_373(x), F_374(x))
Eq(F_374(x), F_375(x)*F_4(x))
Eq(F_375(x), F_376(x) + F_378(x))
Eq(F_376(x), F_15(x) + F_377(x))
Eq(F_377(x), F_336(x))
Eq(F_378(x), F_373(x) + F_379(x))
Eq(F_379(x), 2*F_18(x) + F_363(x) + F_380(x))
Eq(F_380(x), F_381(x)*F_4(x))
Eq(F_381(x), F_382(x) + F_384(x))
Eq(F_382(x), F_377(x) + F_383(x))
Eq(F_383(x), F_346(x))
Eq(F_384(x), F_385(x) + F_390(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_387(x)*F_4(x))
Eq(F_387(x), F_388(x) + F_389(x))
Eq(F_388(x), F_377(x))
Eq(F_389(x), F_385(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_392(x)*F_4(x))
Eq(F_392(x), F_393(x) + F_394(x))
Eq(F_393(x), F_383(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x)*F_4(x))
Eq(F_396(x), F_397(x) + F_398(x))
Eq(F_397(x), F_383(x))
Eq(F_398(x), F_395(x))
Eq(F_399(x), 2*F_18(x) + F_400(x) + F_503(x))
Eq(F_400(x), F_4(x)*F_401(x))
Eq(F_401(x), F_402(x) + F_410(x))
Eq(F_402(x), F_17(x) + F_403(x))
Eq(F_403(x), 2*F_18(x) + F_404(x) + F_53(x))
Eq(F_404(x), F_4(x)*F_405(x))
Eq(F_405(x), F_406(x) + F_407(x))
Eq(F_406(x), F_21(x))
Eq(F_407(x), F_408(x))
Eq(F_408(x), F_4(x)*F_409(x))
Eq(F_409(x), F_21(x))
Eq(F_410(x), F_411(x) + F_477(x))
Eq(F_411(x), F_412(x))
Eq(F_412(x), F_4(x)*F_413(x))
Eq(F_413(x), F_414(x) + F_420(x))
Eq(F_414(x), F_17(x) + F_415(x))
Eq(F_415(x), F_416(x))
Eq(F_416(x), F_4(x)*F_417(x))
Eq(F_417(x), F_418(x) + F_419(x))
Eq(F_418(x), F_21(x))
Eq(F_419(x), F_408(x))
Eq(F_420(x), F_411(x) + F_421(x))
Eq(F_421(x), 3*F_18(x) + F_422(x) + F_443(x))
Eq(F_422(x), F_4(x)*F_423(x))
Eq(F_423(x), F_424(x) + F_428(x))
Eq(F_424(x), F_415(x) + F_425(x))
Eq(F_425(x), F_426(x))
Eq(F_426(x), F_4(x)*F_427(x))
Eq(F_427(x), F_419(x))
Eq(F_428(x), F_429(x) + F_434(x))
Eq(F_429(x), F_430(x))
Eq(F_430(x), F_4(x)*F_431(x))
Eq(F_431(x), F_432(x) + F_433(x))
Eq(F_432(x), F_415(x))
Eq(F_433(x), F_429(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_4(x)*F_436(x))
Eq(F_436(x), F_437(x) + F_438(x))
Eq(F_437(x), F_425(x))
Eq(F_438(x), F_439(x))
Eq(F_439(x), F_4(x)*F_440(x))
Eq(F_440(x), F_441(x) + F_442(x))
Eq(F_441(x), F_425(x))
Eq(F_442(x), F_439(x))
Eq(F_443(x), F_4(x)*F_444(x))
Eq(F_444(x), F_445(x) + F_472(x))
Eq(F_445(x), F_446(x))
Eq(F_446(x), F_447(x))
Eq(F_447(x), F_4(x)*F_448(x))
Eq(F_448(x), F_449(x) + F_451(x))
Eq(F_449(x), F_21(x) + F_450(x))
Eq(F_450(x), F_416(x))
Eq(F_451(x), F_446(x) + F_452(x))
Eq(F_452(x), 3*F_18(x) + F_443(x) + F_453(x))
Eq(F_453(x), F_4(x)*F_454(x))
Eq(F_454(x), F_455(x) + F_457(x))
Eq(F_455(x), F_450(x) + F_456(x))
Eq(F_456(x), F_426(x))
Eq(F_457(x), F_458(x) + F_463(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_4(x)*F_460(x))
Eq(F_460(x), F_461(x) + F_462(x))
Eq(F_461(x), F_450(x))
Eq(F_462(x), F_458(x))
Eq(F_463(x), F_464(x))
Eq(F_464(x), F_4(x)*F_465(x))
Eq(F_465(x), F_466(x) + F_467(x))
Eq(F_466(x), F_456(x))
Eq(F_467(x), F_468(x))
Eq(F_468(x), F_4(x)*F_469(x))
Eq(F_469(x), F_470(x) + F_471(x))
Eq(F_470(x), F_456(x))
Eq(F_471(x), F_468(x))
Eq(F_472(x), F_473(x))
Eq(F_473(x), F_4(x)*F_474(x))
Eq(F_474(x), F_475(x) + F_476(x))
Eq(F_475(x), F_408(x))
Eq(F_476(x), F_473(x))
Eq(F_477(x), 3*F_18(x) + F_478(x) + F_499(x))
Eq(F_478(x), F_4(x)*F_479(x))
Eq(F_479(x), F_480(x) + F_484(x))
Eq(F_480(x), F_403(x) + F_481(x))
Eq(F_481(x), F_482(x))
Eq(F_482(x), F_4(x)*F_483(x))
Eq(F_483(x), F_407(x))
Eq(F_484(x), F_485(x) + F_490(x))
Eq(F_485(x), F_486(x))
Eq(F_486(x), F_4(x)*F_487(x))
Eq(F_487(x), F_488(x) + F_489(x))
Eq(F_488(x), F_403(x))
Eq(F_489(x), F_485(x))
Eq(F_490(x), F_491(x))
Eq(F_491(x), F_4(x)*F_492(x))
Eq(F_492(x), F_493(x) + F_494(x))
Eq(F_493(x), F_481(x))
Eq(F_494(x), F_495(x))
Eq(F_495(x), F_4(x)*F_496(x))
Eq(F_496(x), F_497(x) + F_498(x))
Eq(F_497(x), F_481(x))
Eq(F_498(x), F_495(x))
Eq(F_499(x), F_4(x)*F_500(x))
Eq(F_500(x), F_501(x) + F_502(x))
Eq(F_501(x), F_446(x))
Eq(F_502(x), F_473(x))
Eq(F_503(x), F_4(x)*F_504(x))
Eq(F_504(x), F_367(x) + F_373(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": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 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": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": 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[[0, 0], [0, 0], [0, 0], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[0, 4]]}]]}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.requirement_placement", "direction": 2, "gps": [{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}], "ignore_parent": false, "include_empty": true, "indices": [0, 0, 0, 0, 0], "own_col": true, "own_row": true, "strategy_class": "RequirementPlacementStrategy"}}, "rule_class": "EquivalenceRule"}]}, {"class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, "rule_class": "VerificationRule", "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}, "rule_class": "VerificationRule", "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"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 2
Strategy pack name: point_placements
Tree: http://permpal.com/tree/24351/
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[29,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[14,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[1,x]+F[4,x]
F[14,x] = F[15,x]+F[17,x]
F[15,x] = F[16,x]
F[16,x] = F[13,x]*F[4,x]
F[17,x] = F[18,x]+F[19,x]+F[24,x]
F[18,x] = 0
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[11,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[4,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[15,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[4,x]
F[29,x] = F[2,x]+F[30,x]
F[30,x] = F[18,x]+F[268,x]+F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[55,x]
F[33,x] = F[34,x]+F[7,x]
F[34,x] = F[18,x]+F[35,x]+F[46,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[11,x]+F[38,x]
F[38,x] = F[22,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[11,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[38,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[14,x]+F[48,x]
F[48,x] = F[49,x]+F[50,x]
F[49,x] = F[27,x]
F[50,x] = 2*F[18,x]+F[51,x]+F[53,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[21,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[49,x]
F[55,x] = F[123,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]
F[58,x] = F[59,x]+F[65,x]
F[59,x] = F[60,x]+F[7,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[11,x]
F[64,x] = F[40,x]
F[65,x] = F[56,x]+F[66,x]
F[66,x] = 2*F[18,x]+F[67,x]+F[88,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[60,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[64,x]
F[73,x] = F[74,x]+F[79,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[60,x]
F[78,x] = F[74,x]
F[79,x] = F[80,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[70,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[70,x]
F[87,x] = F[84,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[117,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = F[94,x]+F[96,x]
F[94,x] = F[11,x]+F[95,x]
F[95,x] = F[61,x]
F[96,x] = F[91,x]+F[97,x]
F[97,x] = 2*F[18,x]+F[88,x]+F[98,x]
F[98,x] = F[4,x]*F[99,x]
F[99,x] = F[100,x]+F[102,x]
F[100,x] = F[101,x]+F[95,x]
F[101,x] = F[71,x]
F[102,x] = F[103,x]+F[108,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[4,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[95,x]
F[107,x] = F[103,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[4,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[101,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[116,x]
F[115,x] = F[101,x]
F[116,x] = F[113,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[4,x]
F[120,x] = F[121,x]+F[122,x]
F[121,x] = F[40,x]
F[122,x] = F[118,x]
F[123,x] = 2*F[18,x]+F[124,x]+F[229,x]
F[124,x] = F[125,x]*F[4,x]
F[125,x] = F[126,x]+F[136,x]
F[126,x] = F[127,x]+F[34,x]
F[127,x] = 2*F[18,x]+F[128,x]+F[134,x]
F[128,x] = F[129,x]*F[4,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[38,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[4,x]
F[133,x] = F[38,x]
F[134,x] = F[135,x]*F[4,x]
F[135,x] = F[39,x]
F[136,x] = F[137,x]+F[203,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[4,x]
F[139,x] = F[140,x]+F[146,x]
F[140,x] = F[141,x]+F[34,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[4,x]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = F[38,x]
F[145,x] = F[132,x]
F[146,x] = F[137,x]+F[147,x]
F[147,x] = 3*F[18,x]+F[148,x]+F[169,x]
F[148,x] = F[149,x]*F[4,x]
F[149,x] = F[150,x]+F[154,x]
F[150,x] = F[141,x]+F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[4,x]
F[153,x] = F[145,x]
F[154,x] = F[155,x]+F[160,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[4,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[141,x]
F[159,x] = F[155,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[4,x]
F[162,x] = F[163,x]+F[164,x]
F[163,x] = F[151,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]*F[4,x]
F[166,x] = F[167,x]+F[168,x]
F[167,x] = F[151,x]
F[168,x] = F[165,x]
F[169,x] = F[170,x]*F[4,x]
F[170,x] = F[171,x]+F[198,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[4,x]
F[174,x] = F[175,x]+F[177,x]
F[175,x] = F[176,x]+F[38,x]
F[176,x] = F[142,x]
F[177,x] = F[172,x]+F[178,x]
F[178,x] = 3*F[18,x]+F[169,x]+F[179,x]
F[179,x] = F[180,x]*F[4,x]
F[180,x] = F[181,x]+F[183,x]
F[181,x] = F[176,x]+F[182,x]
F[182,x] = F[152,x]
F[183,x] = F[184,x]+F[189,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[4,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[176,x]
F[188,x] = F[184,x]
F[189,x] = F[190,x]
F[190,x] = F[191,x]*F[4,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[182,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[182,x]
F[197,x] = F[194,x]
F[198,x] = F[199,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[132,x]
F[202,x] = F[199,x]
F[203,x] = 3*F[18,x]+F[204,x]+F[225,x]
F[204,x] = F[205,x]*F[4,x]
F[205,x] = F[206,x]+F[210,x]
F[206,x] = F[127,x]+F[207,x]
F[207,x] = F[208,x]
F[208,x] = F[209,x]*F[4,x]
F[209,x] = F[131,x]
F[210,x] = F[211,x]+F[216,x]
F[211,x] = F[212,x]
F[212,x] = F[213,x]*F[4,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[127,x]
F[215,x] = F[211,x]
F[216,x] = F[217,x]
F[217,x] = F[218,x]*F[4,x]
F[218,x] = F[219,x]+F[220,x]
F[219,x] = F[207,x]
F[220,x] = F[221,x]
F[221,x] = F[222,x]*F[4,x]
F[222,x] = F[223,x]+F[224,x]
F[223,x] = F[207,x]
F[224,x] = F[221,x]
F[225,x] = F[226,x]*F[4,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[172,x]
F[228,x] = F[199,x]
F[229,x] = F[230,x]*F[4,x]
F[230,x] = F[231,x]+F[258,x]
F[231,x] = F[232,x]+F[91,x]
F[232,x] = F[233,x]
F[233,x] = F[234,x]*F[4,x]
F[234,x] = F[235,x]+F[237,x]
F[235,x] = F[236,x]+F[38,x]
F[236,x] = F[128,x]
F[237,x] = F[172,x]+F[238,x]
F[238,x] = 3*F[18,x]+F[225,x]+F[239,x]
F[239,x] = F[240,x]*F[4,x]
F[240,x] = F[241,x]+F[243,x]
F[241,x] = F[236,x]+F[242,x]
F[242,x] = F[208,x]
F[243,x] = F[244,x]+F[249,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[4,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[236,x]
F[248,x] = F[244,x]
F[249,x] = F[250,x]
F[250,x] = F[251,x]*F[4,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[242,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]
F[255,x] = F[256,x]+F[257,x]
F[256,x] = F[242,x]
F[257,x] = F[254,x]
F[258,x] = F[118,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[43,x]
F[263,x] = F[264,x]
F[264,x] = F[265,x]*F[4,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[43,x]
F[267,x] = F[264,x]
F[268,x] = F[269,x]*F[4,x]
F[269,x] = F[270,x]+F[372,x]
F[270,x] = F[2,x]+F[271,x]
F[271,x] = F[18,x]+F[272,x]+F[329,x]
F[272,x] = F[273,x]*F[4,x]
F[273,x] = F[274,x]+F[276,x]
F[274,x] = F[11,x]+F[275,x]
F[275,x] = F[18,x]+F[24,x]+F[35,x]
F[276,x] = F[277,x]+F[91,x]
F[277,x] = 2*F[18,x]+F[229,x]+F[278,x]
F[278,x] = F[279,x]*F[4,x]
F[279,x] = F[280,x]+F[282,x]
F[280,x] = F[275,x]+F[281,x]
F[281,x] = 2*F[18,x]+F[128,x]+F[134,x]
F[282,x] = F[283,x]+F[309,x]
F[283,x] = F[284,x]
F[284,x] = F[285,x]*F[4,x]
F[285,x] = F[286,x]+F[288,x]
F[286,x] = F[275,x]+F[287,x]
F[287,x] = F[142,x]
F[288,x] = F[283,x]+F[289,x]
F[289,x] = 3*F[18,x]+F[169,x]+F[290,x]
F[290,x] = F[291,x]*F[4,x]
F[291,x] = F[292,x]+F[294,x]
F[292,x] = F[287,x]+F[293,x]
F[293,x] = F[152,x]
F[294,x] = F[295,x]+F[300,x]
F[295,x] = F[296,x]
F[296,x] = F[297,x]*F[4,x]
F[297,x] = F[298,x]+F[299,x]
F[298,x] = F[287,x]
F[299,x] = F[295,x]
F[300,x] = F[301,x]
F[301,x] = F[302,x]*F[4,x]
F[302,x] = F[303,x]+F[304,x]
F[303,x] = F[293,x]
F[304,x] = F[305,x]
F[305,x] = F[306,x]*F[4,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[293,x]
F[308,x] = F[305,x]
F[309,x] = 3*F[18,x]+F[225,x]+F[310,x]
F[310,x] = F[311,x]*F[4,x]
F[311,x] = F[312,x]+F[314,x]
F[312,x] = F[281,x]+F[313,x]
F[313,x] = F[208,x]
F[314,x] = F[315,x]+F[320,x]
F[315,x] = F[316,x]
F[316,x] = F[317,x]*F[4,x]
F[317,x] = F[318,x]+F[319,x]
F[318,x] = F[281,x]
F[319,x] = F[315,x]
F[320,x] = F[321,x]
F[321,x] = F[322,x]*F[4,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[313,x]
F[324,x] = F[325,x]
F[325,x] = F[326,x]*F[4,x]
F[326,x] = F[327,x]+F[328,x]
F[327,x] = F[313,x]
F[328,x] = F[325,x]
F[329,x] = F[330,x]*F[4,x]
F[330,x] = F[2,x]+F[331,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]*F[4,x]
F[333,x] = F[334,x]+F[340,x]
F[334,x] = F[335,x]+F[4,x]
F[335,x] = F[336,x]
F[336,x] = F[337,x]*F[4,x]
F[337,x] = F[338,x]+F[339,x]
F[338,x] = F[4,x]
F[339,x] = F[26,x]
F[340,x] = F[331,x]+F[341,x]
F[341,x] = 2*F[18,x]+F[342,x]+F[363,x]
F[342,x] = F[343,x]*F[4,x]
F[343,x] = F[344,x]+F[348,x]
F[344,x] = F[335,x]+F[345,x]
F[345,x] = F[346,x]
F[346,x] = F[347,x]*F[4,x]
F[347,x] = F[339,x]
F[348,x] = F[349,x]+F[354,x]
F[349,x] = F[350,x]
F[350,x] = F[351,x]*F[4,x]
F[351,x] = F[352,x]+F[353,x]
F[352,x] = F[335,x]
F[353,x] = F[349,x]
F[354,x] = F[355,x]
F[355,x] = F[356,x]*F[4,x]
F[356,x] = F[357,x]+F[358,x]
F[357,x] = F[345,x]
F[358,x] = F[359,x]
F[359,x] = F[360,x]*F[4,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[345,x]
F[362,x] = F[359,x]
F[363,x] = F[364,x]*F[4,x]
F[364,x] = F[365,x]+F[366,x]
F[365,x] = F[331,x]
F[366,x] = F[367,x]
F[367,x] = F[368,x]
F[368,x] = F[369,x]*F[4,x]
F[369,x] = F[370,x]+F[371,x]
F[370,x] = F[26,x]
F[371,x] = F[367,x]
F[372,x] = F[373,x]+F[399,x]
F[373,x] = F[374,x]
F[374,x] = F[375,x]*F[4,x]
F[375,x] = F[376,x]+F[378,x]
F[376,x] = F[15,x]+F[377,x]
F[377,x] = F[336,x]
F[378,x] = F[373,x]+F[379,x]
F[379,x] = 2*F[18,x]+F[363,x]+F[380,x]
F[380,x] = F[381,x]*F[4,x]
F[381,x] = F[382,x]+F[384,x]
F[382,x] = F[377,x]+F[383,x]
F[383,x] = F[346,x]
F[384,x] = F[385,x]+F[390,x]
F[385,x] = F[386,x]
F[386,x] = F[387,x]*F[4,x]
F[387,x] = F[388,x]+F[389,x]
F[388,x] = F[377,x]
F[389,x] = F[385,x]
F[390,x] = F[391,x]
F[391,x] = F[392,x]*F[4,x]
F[392,x] = F[393,x]+F[394,x]
F[393,x] = F[383,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]*F[4,x]
F[396,x] = F[397,x]+F[398,x]
F[397,x] = F[383,x]
F[398,x] = F[395,x]
F[399,x] = 2*F[18,x]+F[400,x]+F[503,x]
F[400,x] = F[4,x]*F[401,x]
F[401,x] = F[402,x]+F[410,x]
F[402,x] = F[17,x]+F[403,x]
F[403,x] = 2*F[18,x]+F[404,x]+F[53,x]
F[404,x] = F[4,x]*F[405,x]
F[405,x] = F[406,x]+F[407,x]
F[406,x] = F[21,x]
F[407,x] = F[408,x]
F[408,x] = F[4,x]*F[409,x]
F[409,x] = F[21,x]
F[410,x] = F[411,x]+F[477,x]
F[411,x] = F[412,x]
F[412,x] = F[4,x]*F[413,x]
F[413,x] = F[414,x]+F[420,x]
F[414,x] = F[17,x]+F[415,x]
F[415,x] = F[416,x]
F[416,x] = F[4,x]*F[417,x]
F[417,x] = F[418,x]+F[419,x]
F[418,x] = F[21,x]
F[419,x] = F[408,x]
F[420,x] = F[411,x]+F[421,x]
F[421,x] = 3*F[18,x]+F[422,x]+F[443,x]
F[422,x] = F[4,x]*F[423,x]
F[423,x] = F[424,x]+F[428,x]
F[424,x] = F[415,x]+F[425,x]
F[425,x] = F[426,x]
F[426,x] = F[4,x]*F[427,x]
F[427,x] = F[419,x]
F[428,x] = F[429,x]+F[434,x]
F[429,x] = F[430,x]
F[430,x] = F[4,x]*F[431,x]
F[431,x] = F[432,x]+F[433,x]
F[432,x] = F[415,x]
F[433,x] = F[429,x]
F[434,x] = F[435,x]
F[435,x] = F[4,x]*F[436,x]
F[436,x] = F[437,x]+F[438,x]
F[437,x] = F[425,x]
F[438,x] = F[439,x]
F[439,x] = F[4,x]*F[440,x]
F[440,x] = F[441,x]+F[442,x]
F[441,x] = F[425,x]
F[442,x] = F[439,x]
F[443,x] = F[4,x]*F[444,x]
F[444,x] = F[445,x]+F[472,x]
F[445,x] = F[446,x]
F[446,x] = F[447,x]
F[447,x] = F[4,x]*F[448,x]
F[448,x] = F[449,x]+F[451,x]
F[449,x] = F[21,x]+F[450,x]
F[450,x] = F[416,x]
F[451,x] = F[446,x]+F[452,x]
F[452,x] = 3*F[18,x]+F[443,x]+F[453,x]
F[453,x] = F[4,x]*F[454,x]
F[454,x] = F[455,x]+F[457,x]
F[455,x] = F[450,x]+F[456,x]
F[456,x] = F[426,x]
F[457,x] = F[458,x]+F[463,x]
F[458,x] = F[459,x]
F[459,x] = F[4,x]*F[460,x]
F[460,x] = F[461,x]+F[462,x]
F[461,x] = F[450,x]
F[462,x] = F[458,x]
F[463,x] = F[464,x]
F[464,x] = F[4,x]*F[465,x]
F[465,x] = F[466,x]+F[467,x]
F[466,x] = F[456,x]
F[467,x] = F[468,x]
F[468,x] = F[4,x]*F[469,x]
F[469,x] = F[470,x]+F[471,x]
F[470,x] = F[456,x]
F[471,x] = F[468,x]
F[472,x] = F[473,x]
F[473,x] = F[4,x]*F[474,x]
F[474,x] = F[475,x]+F[476,x]
F[475,x] = F[408,x]
F[476,x] = F[473,x]
F[477,x] = 3*F[18,x]+F[478,x]+F[499,x]
F[478,x] = F[4,x]*F[479,x]
F[479,x] = F[480,x]+F[484,x]
F[480,x] = F[403,x]+F[481,x]
F[481,x] = F[482,x]
F[482,x] = F[4,x]*F[483,x]
F[483,x] = F[407,x]
F[484,x] = F[485,x]+F[490,x]
F[485,x] = F[486,x]
F[486,x] = F[4,x]*F[487,x]
F[487,x] = F[488,x]+F[489,x]
F[488,x] = F[403,x]
F[489,x] = F[485,x]
F[490,x] = F[491,x]
F[491,x] = F[4,x]*F[492,x]
F[492,x] = F[493,x]+F[494,x]
F[493,x] = F[481,x]
F[494,x] = F[495,x]
F[495,x] = F[4,x]*F[496,x]
F[496,x] = F[497,x]+F[498,x]
F[497,x] = F[481,x]
F[498,x] = F[495,x]
F[499,x] = F[4,x]*F[500,x]
F[500,x] = F[501,x]+F[502,x]
F[501,x] = F[446,x]
F[502,x] = F[473,x]
F[503,x] = F[4,x]*F[504,x]
F[504,x] = F[367,x]+F[373,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_{29}\! \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_{14}\! \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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{17}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{24}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{18}\! \left(x \right)+F_{268}\! \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_{55}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{7}\! \left(x \right)
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{46}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{11}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{38}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{14}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{27}\! \left(x \right)
F_{50}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{51}\! \left(x \right)+F_{53}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{49}\! \left(x \right)
F_{55}\! \left(x \right) = F_{123}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \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_{65}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{7}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{11}\! \left(x \right)
F_{64}\! \left(x \right) = F_{40}\! \left(x \right)
F_{65}\! \left(x \right) = F_{56}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{67}\! \left(x \right)+F_{88}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{60}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{64}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{79}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{60}\! \left(x \right)
F_{78}\! \left(x \right) = F_{74}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \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_{70}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{70}\! \left(x \right)
F_{87}\! \left(x \right) = F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{117}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{96}\! \left(x \right)
F_{94}\! \left(x \right) = F_{11}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{61}\! \left(x \right)
F_{96}\! \left(x \right) = F_{91}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{88}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{4}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{102}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{95}\! \left(x \right)
F_{101}\! \left(x \right) = F_{71}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{108}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \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_{95}\! \left(x \right)
F_{107}\! \left(x \right) = F_{103}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{101}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{116}\! \left(x \right)
F_{115}\! \left(x \right) = F_{101}\! \left(x \right)
F_{116}\! \left(x \right) = F_{113}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)
F_{121}\! \left(x \right) = F_{40}\! \left(x \right)
F_{122}\! \left(x \right) = F_{118}\! \left(x \right)
F_{123}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{124}\! \left(x \right)+F_{229}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{136}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{34}\! \left(x \right)
F_{127}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{128}\! \left(x \right)+F_{134}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{38}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = F_{38}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{4}\! \left(x \right)
F_{135}\! \left(x \right) = F_{39}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{203}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{146}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{34}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = F_{38}\! \left(x \right)
F_{145}\! \left(x \right) = F_{132}\! \left(x \right)
F_{146}\! \left(x \right) = F_{137}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{148}\! \left(x \right)+F_{169}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{154}\! \left(x \right)
F_{150}\! \left(x \right) = F_{141}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{4}\! \left(x \right)
F_{153}\! \left(x \right) = F_{145}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{160}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{141}\! \left(x \right)
F_{159}\! \left(x \right) = F_{155}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{164}\! \left(x \right)
F_{163}\! \left(x \right) = F_{151}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{4}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{168}\! \left(x \right)
F_{167}\! \left(x \right) = F_{151}\! \left(x \right)
F_{168}\! \left(x \right) = F_{165}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{198}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{4}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{177}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{38}\! \left(x \right)
F_{176}\! \left(x \right) = F_{142}\! \left(x \right)
F_{177}\! \left(x \right) = F_{172}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{169}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{183}\! \left(x \right)
F_{181}\! \left(x \right) = F_{176}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{152}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{189}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
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_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{176}\! \left(x \right)
F_{188}\! \left(x \right) = F_{184}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right) F_{4}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{182}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{182}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{132}\! \left(x \right)
F_{202}\! \left(x \right) = F_{199}\! \left(x \right)
F_{203}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{204}\! \left(x \right)+F_{225}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{4}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{210}\! \left(x \right)
F_{206}\! \left(x \right) = F_{127}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = F_{131}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{216}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{4}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{127}\! \left(x \right)
F_{215}\! \left(x \right) = F_{211}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{220}\! \left(x \right)
F_{219}\! \left(x \right) = F_{207}\! \left(x \right)
F_{220}\! \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_{224}\! \left(x \right)
F_{223}\! \left(x \right) = F_{207}\! \left(x \right)
F_{224}\! \left(x \right) = F_{221}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{228}\! \left(x \right)
F_{227}\! \left(x \right) = F_{172}\! \left(x \right)
F_{228}\! \left(x \right) = F_{199}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right) F_{4}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{258}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{91}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right) F_{4}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{237}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{38}\! \left(x \right)
F_{236}\! \left(x \right) = F_{128}\! \left(x \right)
F_{237}\! \left(x \right) = F_{172}\! \left(x \right)+F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{225}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right) F_{4}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{243}\! \left(x \right)
F_{241}\! \left(x \right) = F_{236}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{208}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{249}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{4}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{236}\! \left(x \right)
F_{248}\! \left(x \right) = F_{244}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right) F_{4}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{242}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{242}\! \left(x \right)
F_{257}\! \left(x \right) = F_{254}\! \left(x \right)
F_{258}\! \left(x \right) = F_{118}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{43}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right) F_{4}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{43}\! \left(x \right)
F_{267}\! \left(x \right) = F_{264}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{4}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{372}\! \left(x \right)
F_{270}\! \left(x \right) = F_{2}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{18}\! \left(x \right)+F_{272}\! \left(x \right)+F_{329}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{4}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{276}\! \left(x \right)
F_{274}\! \left(x \right) = F_{11}\! \left(x \right)+F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{18}\! \left(x \right)+F_{24}\! \left(x \right)+F_{35}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{91}\! \left(x \right)
F_{277}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{229}\! \left(x \right)+F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{4}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{282}\! \left(x \right)
F_{280}\! \left(x \right) = F_{275}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{128}\! \left(x \right)+F_{134}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{309}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right) F_{4}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{288}\! \left(x \right)
F_{286}\! \left(x \right) = F_{275}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{142}\! \left(x \right)
F_{288}\! \left(x \right) = F_{283}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{169}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{294}\! \left(x \right)
F_{292}\! \left(x \right) = F_{287}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{152}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{300}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right) F_{4}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)
F_{298}\! \left(x \right) = F_{287}\! \left(x \right)
F_{299}\! \left(x \right) = F_{295}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)
F_{303}\! \left(x \right) = F_{293}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right) F_{4}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{293}\! \left(x \right)
F_{308}\! \left(x \right) = F_{305}\! \left(x \right)
F_{309}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{225}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right) F_{4}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{314}\! \left(x \right)
F_{312}\! \left(x \right) = F_{281}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{208}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{320}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right) F_{4}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{319}\! \left(x \right)
F_{318}\! \left(x \right) = F_{281}\! \left(x \right)
F_{319}\! \left(x \right) = F_{315}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right) F_{4}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{313}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{4}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)
F_{327}\! \left(x \right) = F_{313}\! \left(x \right)
F_{328}\! \left(x \right) = F_{325}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right) F_{4}\! \left(x \right)
F_{330}\! \left(x \right) = F_{2}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right) F_{4}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{340}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{4}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right) F_{4}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{339}\! \left(x \right)
F_{338}\! \left(x \right) = F_{4}\! \left(x \right)
F_{339}\! \left(x \right) = F_{26}\! \left(x \right)
F_{340}\! \left(x \right) = F_{331}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{342}\! \left(x \right)+F_{363}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right) F_{4}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{348}\! \left(x \right)
F_{344}\! \left(x \right) = F_{335}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right) F_{4}\! \left(x \right)
F_{347}\! \left(x \right) = F_{339}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{354}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)+F_{353}\! \left(x \right)
F_{352}\! \left(x \right) = F_{335}\! \left(x \right)
F_{353}\! \left(x \right) = F_{349}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right) F_{4}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{358}\! \left(x \right)
F_{357}\! \left(x \right) = F_{345}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{345}\! \left(x \right)
F_{362}\! \left(x \right) = F_{359}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right) F_{4}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)+F_{366}\! \left(x \right)
F_{365}\! \left(x \right) = F_{331}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right) F_{4}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{371}\! \left(x \right)
F_{370}\! \left(x \right) = F_{26}\! \left(x \right)
F_{371}\! \left(x \right) = F_{367}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{399}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right) F_{4}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{378}\! \left(x \right)
F_{376}\! \left(x \right) = F_{15}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{336}\! \left(x \right)
F_{378}\! \left(x \right) = F_{373}\! \left(x \right)+F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{363}\! \left(x \right)+F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{4}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{384}\! \left(x \right)
F_{382}\! \left(x \right) = F_{377}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{346}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)+F_{390}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)+F_{389}\! \left(x \right)
F_{388}\! \left(x \right) = F_{377}\! \left(x \right)
F_{389}\! \left(x \right) = F_{385}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right) F_{4}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right)+F_{394}\! \left(x \right)
F_{393}\! \left(x \right) = F_{383}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{398}\! \left(x \right)
F_{397}\! \left(x \right) = F_{383}\! \left(x \right)
F_{398}\! \left(x \right) = F_{395}\! \left(x \right)
F_{399}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{400}\! \left(x \right)+F_{503}\! \left(x \right)
F_{400}\! \left(x \right) = F_{4}\! \left(x \right) F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{410}\! \left(x \right)
F_{402}\! \left(x \right) = F_{17}\! \left(x \right)+F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{404}\! \left(x \right)+F_{53}\! \left(x \right)
F_{404}\! \left(x \right) = F_{4}\! \left(x \right) F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{407}\! \left(x \right)
F_{406}\! \left(x \right) = F_{21}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{4}\! \left(x \right) F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{21}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{477}\! \left(x \right)
F_{411}\! \left(x \right) = F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{4}\! \left(x \right) F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{420}\! \left(x \right)
F_{414}\! \left(x \right) = F_{17}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{419}\! \left(x \right)
F_{418}\! \left(x \right) = F_{21}\! \left(x \right)
F_{419}\! \left(x \right) = F_{408}\! \left(x \right)
F_{420}\! \left(x \right) = F_{411}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{422}\! \left(x \right)+F_{443}\! \left(x \right)
F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{428}\! \left(x \right)
F_{424}\! \left(x \right) = F_{415}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{4}\! \left(x \right) F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = F_{419}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)+F_{434}\! \left(x \right)
F_{429}\! \left(x \right) = F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{4}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{433}\! \left(x \right)
F_{432}\! \left(x \right) = F_{415}\! \left(x \right)
F_{433}\! \left(x \right) = F_{429}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{4}\! \left(x \right) F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)+F_{438}\! \left(x \right)
F_{437}\! \left(x \right) = F_{425}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)
F_{439}\! \left(x \right) = F_{4}\! \left(x \right) F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{442}\! \left(x \right)
F_{441}\! \left(x \right) = F_{425}\! \left(x \right)
F_{442}\! \left(x \right) = F_{439}\! \left(x \right)
F_{443}\! \left(x \right) = F_{4}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)+F_{472}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{4}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{449}\! \left(x \right)+F_{451}\! \left(x \right)
F_{449}\! \left(x \right) = F_{21}\! \left(x \right)+F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = F_{416}\! \left(x \right)
F_{451}\! \left(x \right) = F_{446}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{443}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = F_{4}\! \left(x \right) F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{457}\! \left(x \right)
F_{455}\! \left(x \right) = F_{450}\! \left(x \right)+F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{426}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{463}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{4}\! \left(x \right) F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{461}\! \left(x \right)+F_{462}\! \left(x \right)
F_{461}\! \left(x \right) = F_{450}\! \left(x \right)
F_{462}\! \left(x \right) = F_{458}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{4}\! \left(x \right) F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)+F_{467}\! \left(x \right)
F_{466}\! \left(x \right) = F_{456}\! \left(x \right)
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = F_{4}\! \left(x \right) F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = F_{470}\! \left(x \right)+F_{471}\! \left(x \right)
F_{470}\! \left(x \right) = F_{456}\! \left(x \right)
F_{471}\! \left(x \right) = F_{468}\! \left(x \right)
F_{472}\! \left(x \right) = F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{4}\! \left(x \right) F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{475}\! \left(x \right)+F_{476}\! \left(x \right)
F_{475}\! \left(x \right) = F_{408}\! \left(x \right)
F_{476}\! \left(x \right) = F_{473}\! \left(x \right)
F_{477}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{478}\! \left(x \right)+F_{499}\! \left(x \right)
F_{478}\! \left(x \right) = F_{4}\! \left(x \right) F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{484}\! \left(x \right)
F_{480}\! \left(x \right) = F_{403}\! \left(x \right)+F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = F_{4}\! \left(x \right) F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = F_{407}\! \left(x \right)
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)+F_{490}\! \left(x \right)
F_{485}\! \left(x \right) = F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{4}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)+F_{489}\! \left(x \right)
F_{488}\! \left(x \right) = F_{403}\! \left(x \right)
F_{489}\! \left(x \right) = F_{485}\! \left(x \right)
F_{490}\! \left(x \right) = F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = F_{4}\! \left(x \right) F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{494}\! \left(x \right)
F_{493}\! \left(x \right) = F_{481}\! \left(x \right)
F_{494}\! \left(x \right) = F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{4}\! \left(x \right) F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{498}\! \left(x \right)
F_{497}\! \left(x \right) = F_{481}\! \left(x \right)
F_{498}\! \left(x \right) = F_{495}\! \left(x \right)
F_{499}\! \left(x \right) = F_{4}\! \left(x \right) F_{500}\! \left(x \right)
F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{502}\! \left(x \right)
F_{501}\! \left(x \right) = F_{446}\! \left(x \right)
F_{502}\! \left(x \right) = F_{473}\! \left(x \right)
F_{503}\! \left(x \right) = F_{4}\! \left(x \right) F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{367}\! \left(x \right)+F_{373}\! \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_29(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_14(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_1(x) + F_4(x))
Eq(F_14(x), F_15(x) + F_17(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_13(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_24(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_11(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_4(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_15(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_4(x))
Eq(F_29(x), F_2(x) + F_30(x))
Eq(F_30(x), F_18(x) + F_268(x) + F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_55(x))
Eq(F_33(x), F_34(x) + F_7(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_46(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_11(x) + F_38(x))
Eq(F_38(x), F_22(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_11(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_38(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_14(x) + F_48(x))
Eq(F_48(x), F_49(x) + F_50(x))
Eq(F_49(x), F_27(x))
Eq(F_50(x), 2*F_18(x) + F_51(x) + F_53(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_21(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_49(x))
Eq(F_55(x), F_123(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_65(x))
Eq(F_59(x), F_60(x) + F_7(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_11(x))
Eq(F_64(x), F_40(x))
Eq(F_65(x), F_56(x) + F_66(x))
Eq(F_66(x), 2*F_18(x) + F_67(x) + F_88(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_60(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_64(x))
Eq(F_73(x), F_74(x) + F_79(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_60(x))
Eq(F_78(x), F_74(x))
Eq(F_79(x), F_80(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_70(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_70(x))
Eq(F_87(x), F_84(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_117(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_96(x))
Eq(F_94(x), F_11(x) + F_95(x))
Eq(F_95(x), F_61(x))
Eq(F_96(x), F_91(x) + F_97(x))
Eq(F_97(x), 2*F_18(x) + F_88(x) + F_98(x))
Eq(F_98(x), F_4(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_102(x))
Eq(F_100(x), F_101(x) + F_95(x))
Eq(F_101(x), F_71(x))
Eq(F_102(x), F_103(x) + F_108(x))
Eq(F_103(x), F_104(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_95(x))
Eq(F_107(x), F_103(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_4(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_101(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_116(x))
Eq(F_115(x), F_101(x))
Eq(F_116(x), F_113(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_4(x))
Eq(F_120(x), F_121(x) + F_122(x))
Eq(F_121(x), F_40(x))
Eq(F_122(x), F_118(x))
Eq(F_123(x), F_124(x) + 2*F_18(x) + F_229(x))
Eq(F_124(x), F_125(x)*F_4(x))
Eq(F_125(x), F_126(x) + F_136(x))
Eq(F_126(x), F_127(x) + F_34(x))
Eq(F_127(x), F_128(x) + F_134(x) + 2*F_18(x))
Eq(F_128(x), F_129(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_38(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_4(x))
Eq(F_133(x), F_38(x))
Eq(F_134(x), F_135(x)*F_4(x))
Eq(F_135(x), F_39(x))
Eq(F_136(x), F_137(x) + F_203(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_4(x))
Eq(F_139(x), F_140(x) + F_146(x))
Eq(F_140(x), F_141(x) + F_34(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_4(x))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_38(x))
Eq(F_145(x), F_132(x))
Eq(F_146(x), F_137(x) + F_147(x))
Eq(F_147(x), F_148(x) + F_169(x) + 3*F_18(x))
Eq(F_148(x), F_149(x)*F_4(x))
Eq(F_149(x), F_150(x) + F_154(x))
Eq(F_150(x), F_141(x) + F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_4(x))
Eq(F_153(x), F_145(x))
Eq(F_154(x), F_155(x) + F_160(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_4(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_141(x))
Eq(F_159(x), F_155(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_4(x))
Eq(F_162(x), F_163(x) + F_164(x))
Eq(F_163(x), F_151(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x)*F_4(x))
Eq(F_166(x), F_167(x) + F_168(x))
Eq(F_167(x), F_151(x))
Eq(F_168(x), F_165(x))
Eq(F_169(x), F_170(x)*F_4(x))
Eq(F_170(x), F_171(x) + F_198(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_4(x))
Eq(F_174(x), F_175(x) + F_177(x))
Eq(F_175(x), F_176(x) + F_38(x))
Eq(F_176(x), F_142(x))
Eq(F_177(x), F_172(x) + F_178(x))
Eq(F_178(x), F_169(x) + F_179(x) + 3*F_18(x))
Eq(F_179(x), F_180(x)*F_4(x))
Eq(F_180(x), F_181(x) + F_183(x))
Eq(F_181(x), F_176(x) + F_182(x))
Eq(F_182(x), F_152(x))
Eq(F_183(x), F_184(x) + F_189(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_4(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_176(x))
Eq(F_188(x), F_184(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_191(x)*F_4(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_182(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_182(x))
Eq(F_197(x), F_194(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_132(x))
Eq(F_202(x), F_199(x))
Eq(F_203(x), 3*F_18(x) + F_204(x) + F_225(x))
Eq(F_204(x), F_205(x)*F_4(x))
Eq(F_205(x), F_206(x) + F_210(x))
Eq(F_206(x), F_127(x) + F_207(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_209(x)*F_4(x))
Eq(F_209(x), F_131(x))
Eq(F_210(x), F_211(x) + F_216(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_213(x)*F_4(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_127(x))
Eq(F_215(x), F_211(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_218(x)*F_4(x))
Eq(F_218(x), F_219(x) + F_220(x))
Eq(F_219(x), F_207(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_222(x)*F_4(x))
Eq(F_222(x), F_223(x) + F_224(x))
Eq(F_223(x), F_207(x))
Eq(F_224(x), F_221(x))
Eq(F_225(x), F_226(x)*F_4(x))
Eq(F_226(x), F_227(x) + F_228(x))
Eq(F_227(x), F_172(x))
Eq(F_228(x), F_199(x))
Eq(F_229(x), F_230(x)*F_4(x))
Eq(F_230(x), F_231(x) + F_258(x))
Eq(F_231(x), F_232(x) + F_91(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_234(x)*F_4(x))
Eq(F_234(x), F_235(x) + F_237(x))
Eq(F_235(x), F_236(x) + F_38(x))
Eq(F_236(x), F_128(x))
Eq(F_237(x), F_172(x) + F_238(x))
Eq(F_238(x), 3*F_18(x) + F_225(x) + F_239(x))
Eq(F_239(x), F_240(x)*F_4(x))
Eq(F_240(x), F_241(x) + F_243(x))
Eq(F_241(x), F_236(x) + F_242(x))
Eq(F_242(x), F_208(x))
Eq(F_243(x), F_244(x) + F_249(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_4(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_236(x))
Eq(F_248(x), F_244(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_251(x)*F_4(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_242(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x))
Eq(F_255(x), F_256(x) + F_257(x))
Eq(F_256(x), F_242(x))
Eq(F_257(x), F_254(x))
Eq(F_258(x), F_118(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_43(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_265(x)*F_4(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_43(x))
Eq(F_267(x), F_264(x))
Eq(F_268(x), F_269(x)*F_4(x))
Eq(F_269(x), F_270(x) + F_372(x))
Eq(F_270(x), F_2(x) + F_271(x))
Eq(F_271(x), F_18(x) + F_272(x) + F_329(x))
Eq(F_272(x), F_273(x)*F_4(x))
Eq(F_273(x), F_274(x) + F_276(x))
Eq(F_274(x), F_11(x) + F_275(x))
Eq(F_275(x), F_18(x) + F_24(x) + F_35(x))
Eq(F_276(x), F_277(x) + F_91(x))
Eq(F_277(x), 2*F_18(x) + F_229(x) + F_278(x))
Eq(F_278(x), F_279(x)*F_4(x))
Eq(F_279(x), F_280(x) + F_282(x))
Eq(F_280(x), F_275(x) + F_281(x))
Eq(F_281(x), F_128(x) + F_134(x) + 2*F_18(x))
Eq(F_282(x), F_283(x) + F_309(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_285(x)*F_4(x))
Eq(F_285(x), F_286(x) + F_288(x))
Eq(F_286(x), F_275(x) + F_287(x))
Eq(F_287(x), F_142(x))
Eq(F_288(x), F_283(x) + F_289(x))
Eq(F_289(x), F_169(x) + 3*F_18(x) + F_290(x))
Eq(F_290(x), F_291(x)*F_4(x))
Eq(F_291(x), F_292(x) + F_294(x))
Eq(F_292(x), F_287(x) + F_293(x))
Eq(F_293(x), F_152(x))
Eq(F_294(x), F_295(x) + F_300(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_297(x)*F_4(x))
Eq(F_297(x), F_298(x) + F_299(x))
Eq(F_298(x), F_287(x))
Eq(F_299(x), F_295(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_302(x)*F_4(x))
Eq(F_302(x), F_303(x) + F_304(x))
Eq(F_303(x), F_293(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_306(x)*F_4(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_293(x))
Eq(F_308(x), F_305(x))
Eq(F_309(x), 3*F_18(x) + F_225(x) + F_310(x))
Eq(F_310(x), F_311(x)*F_4(x))
Eq(F_311(x), F_312(x) + F_314(x))
Eq(F_312(x), F_281(x) + F_313(x))
Eq(F_313(x), F_208(x))
Eq(F_314(x), F_315(x) + F_320(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_317(x)*F_4(x))
Eq(F_317(x), F_318(x) + F_319(x))
Eq(F_318(x), F_281(x))
Eq(F_319(x), F_315(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x)*F_4(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_313(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_326(x)*F_4(x))
Eq(F_326(x), F_327(x) + F_328(x))
Eq(F_327(x), F_313(x))
Eq(F_328(x), F_325(x))
Eq(F_329(x), F_330(x)*F_4(x))
Eq(F_330(x), F_2(x) + F_331(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x)*F_4(x))
Eq(F_333(x), F_334(x) + F_340(x))
Eq(F_334(x), F_335(x) + F_4(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_337(x)*F_4(x))
Eq(F_337(x), F_338(x) + F_339(x))
Eq(F_338(x), F_4(x))
Eq(F_339(x), F_26(x))
Eq(F_340(x), F_331(x) + F_341(x))
Eq(F_341(x), 2*F_18(x) + F_342(x) + F_363(x))
Eq(F_342(x), F_343(x)*F_4(x))
Eq(F_343(x), F_344(x) + F_348(x))
Eq(F_344(x), F_335(x) + F_345(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_347(x)*F_4(x))
Eq(F_347(x), F_339(x))
Eq(F_348(x), F_349(x) + F_354(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x)*F_4(x))
Eq(F_351(x), F_352(x) + F_353(x))
Eq(F_352(x), F_335(x))
Eq(F_353(x), F_349(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_356(x)*F_4(x))
Eq(F_356(x), F_357(x) + F_358(x))
Eq(F_357(x), F_345(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_360(x)*F_4(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_345(x))
Eq(F_362(x), F_359(x))
Eq(F_363(x), F_364(x)*F_4(x))
Eq(F_364(x), F_365(x) + F_366(x))
Eq(F_365(x), F_331(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_368(x))
Eq(F_368(x), F_369(x)*F_4(x))
Eq(F_369(x), F_370(x) + F_371(x))
Eq(F_370(x), F_26(x))
Eq(F_371(x), F_367(x))
Eq(F_372(x), F_373(x) + F_399(x))
Eq(F_373(x), F_374(x))
Eq(F_374(x), F_375(x)*F_4(x))
Eq(F_375(x), F_376(x) + F_378(x))
Eq(F_376(x), F_15(x) + F_377(x))
Eq(F_377(x), F_336(x))
Eq(F_378(x), F_373(x) + F_379(x))
Eq(F_379(x), 2*F_18(x) + F_363(x) + F_380(x))
Eq(F_380(x), F_381(x)*F_4(x))
Eq(F_381(x), F_382(x) + F_384(x))
Eq(F_382(x), F_377(x) + F_383(x))
Eq(F_383(x), F_346(x))
Eq(F_384(x), F_385(x) + F_390(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_387(x)*F_4(x))
Eq(F_387(x), F_388(x) + F_389(x))
Eq(F_388(x), F_377(x))
Eq(F_389(x), F_385(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_392(x)*F_4(x))
Eq(F_392(x), F_393(x) + F_394(x))
Eq(F_393(x), F_383(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x)*F_4(x))
Eq(F_396(x), F_397(x) + F_398(x))
Eq(F_397(x), F_383(x))
Eq(F_398(x), F_395(x))
Eq(F_399(x), 2*F_18(x) + F_400(x) + F_503(x))
Eq(F_400(x), F_4(x)*F_401(x))
Eq(F_401(x), F_402(x) + F_410(x))
Eq(F_402(x), F_17(x) + F_403(x))
Eq(F_403(x), 2*F_18(x) + F_404(x) + F_53(x))
Eq(F_404(x), F_4(x)*F_405(x))
Eq(F_405(x), F_406(x) + F_407(x))
Eq(F_406(x), F_21(x))
Eq(F_407(x), F_408(x))
Eq(F_408(x), F_4(x)*F_409(x))
Eq(F_409(x), F_21(x))
Eq(F_410(x), F_411(x) + F_477(x))
Eq(F_411(x), F_412(x))
Eq(F_412(x), F_4(x)*F_413(x))
Eq(F_413(x), F_414(x) + F_420(x))
Eq(F_414(x), F_17(x) + F_415(x))
Eq(F_415(x), F_416(x))
Eq(F_416(x), F_4(x)*F_417(x))
Eq(F_417(x), F_418(x) + F_419(x))
Eq(F_418(x), F_21(x))
Eq(F_419(x), F_408(x))
Eq(F_420(x), F_411(x) + F_421(x))
Eq(F_421(x), 3*F_18(x) + F_422(x) + F_443(x))
Eq(F_422(x), F_4(x)*F_423(x))
Eq(F_423(x), F_424(x) + F_428(x))
Eq(F_424(x), F_415(x) + F_425(x))
Eq(F_425(x), F_426(x))
Eq(F_426(x), F_4(x)*F_427(x))
Eq(F_427(x), F_419(x))
Eq(F_428(x), F_429(x) + F_434(x))
Eq(F_429(x), F_430(x))
Eq(F_430(x), F_4(x)*F_431(x))
Eq(F_431(x), F_432(x) + F_433(x))
Eq(F_432(x), F_415(x))
Eq(F_433(x), F_429(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_4(x)*F_436(x))
Eq(F_436(x), F_437(x) + F_438(x))
Eq(F_437(x), F_425(x))
Eq(F_438(x), F_439(x))
Eq(F_439(x), F_4(x)*F_440(x))
Eq(F_440(x), F_441(x) + F_442(x))
Eq(F_441(x), F_425(x))
Eq(F_442(x), F_439(x))
Eq(F_443(x), F_4(x)*F_444(x))
Eq(F_444(x), F_445(x) + F_472(x))
Eq(F_445(x), F_446(x))
Eq(F_446(x), F_447(x))
Eq(F_447(x), F_4(x)*F_448(x))
Eq(F_448(x), F_449(x) + F_451(x))
Eq(F_449(x), F_21(x) + F_450(x))
Eq(F_450(x), F_416(x))
Eq(F_451(x), F_446(x) + F_452(x))
Eq(F_452(x), 3*F_18(x) + F_443(x) + F_453(x))
Eq(F_453(x), F_4(x)*F_454(x))
Eq(F_454(x), F_455(x) + F_457(x))
Eq(F_455(x), F_450(x) + F_456(x))
Eq(F_456(x), F_426(x))
Eq(F_457(x), F_458(x) + F_463(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_4(x)*F_460(x))
Eq(F_460(x), F_461(x) + F_462(x))
Eq(F_461(x), F_450(x))
Eq(F_462(x), F_458(x))
Eq(F_463(x), F_464(x))
Eq(F_464(x), F_4(x)*F_465(x))
Eq(F_465(x), F_466(x) + F_467(x))
Eq(F_466(x), F_456(x))
Eq(F_467(x), F_468(x))
Eq(F_468(x), F_4(x)*F_469(x))
Eq(F_469(x), F_470(x) + F_471(x))
Eq(F_470(x), F_456(x))
Eq(F_471(x), F_468(x))
Eq(F_472(x), F_473(x))
Eq(F_473(x), F_4(x)*F_474(x))
Eq(F_474(x), F_475(x) + F_476(x))
Eq(F_475(x), F_408(x))
Eq(F_476(x), F_473(x))
Eq(F_477(x), 3*F_18(x) + F_478(x) + F_499(x))
Eq(F_478(x), F_4(x)*F_479(x))
Eq(F_479(x), F_480(x) + F_484(x))
Eq(F_480(x), F_403(x) + F_481(x))
Eq(F_481(x), F_482(x))
Eq(F_482(x), F_4(x)*F_483(x))
Eq(F_483(x), F_407(x))
Eq(F_484(x), F_485(x) + F_490(x))
Eq(F_485(x), F_486(x))
Eq(F_486(x), F_4(x)*F_487(x))
Eq(F_487(x), F_488(x) + F_489(x))
Eq(F_488(x), F_403(x))
Eq(F_489(x), F_485(x))
Eq(F_490(x), F_491(x))
Eq(F_491(x), F_4(x)*F_492(x))
Eq(F_492(x), F_493(x) + F_494(x))
Eq(F_493(x), F_481(x))
Eq(F_494(x), F_495(x))
Eq(F_495(x), F_4(x)*F_496(x))
Eq(F_496(x), F_497(x) + F_498(x))
Eq(F_497(x), F_481(x))
Eq(F_498(x), F_495(x))
Eq(F_499(x), F_4(x)*F_500(x))
Eq(F_500(x), F_501(x) + F_502(x))
Eq(F_501(x), F_446(x))
Eq(F_502(x), F_473(x))
Eq(F_503(x), F_4(x)*F_504(x))
Eq(F_504(x), F_367(x) + F_373(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": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 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": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 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": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.requirement_insertion", "gps": [{"patt": [0], "pos": [[0, 0]]}], "ignore_parent": true, "strategy_class": "RequirementInsertionStrategy"}}, {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 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