0123_0321_1320
Counting sequence:
1, 1, 2, 6, 21, 73, 241, 756, 2276, 6640, 18915, 52911, 145951, 398242, 1077434, 2895486, 7740081, 20603269, 54659533, 144620496, 381823376, 1006354636, 2648774847, 6964087131, 18293818171, 48022224958, 125990960486, 330403641306, 866159487501, 2270020978225, 5947929978985, 15582090457836, 40815521263676, 106899906813352, 279957213620379, 733122057903111, 1919718197734231, 5026668190459354, 13161592043701778, 34460788000238646, 90226269515153001, 236229290539405021, 618484691847245317, 1619272064002325256, 4239428257182974696, 11099210619639598468, 29058608222014842231, 76077440879149015731, 199175403265292468851, 521452216985193096310, 1365188284564704586430, 3574126991932732906386, 9357221964631072040901, 24497598574655545875337, 64135695356525504588449, 167909735192900473267236, 439594014625334180708756, 1150873335503817109332064, 3013028081556344247197523, 7888215160563263870008671, 20651626047044731914180751, 54066680562623877126949906, 141548451381393542278925162, 370578746215611539941185006, 970187934839393667221042721, 2539985358062160659502156853, 6649768748089642743700631101, 17409322122138620510139694656, 45578200127083412811217472576, 119325283350412982267348969020, 312397660254332215268178339375, 817867718368084931271236684811, 2141205537351220924372338638251, 5605748979868766154216804379822, 14676041576982637404454947407894, 38422376105256632274371428870986, 100591087456586964814845411686781, 263350887718993138894015532007649, 689461578647149137177859797682393, 1805033854191525506986795411151196, 4725639996016685579928818182832876, 12371886158339279079995899925147416, 32390018528567110264258677755562507, 84798169527702894740794354842152631, 222004490257641111653382088121532871, 581215301656255218888325828922545738, 1521641415542865508906460270843953346, 3983708946655166048734618794800311206, 10429485427826967745332191869529571801, 27304747343711778655786884592914782605, 71484756617235193663988990001829923445, 187149522536156938229922486666530063736, 489963811048180862832905962643119981976, 1282741910723514073922335766828448434932, 3358261921355094086319752829523260676839, 8792043853812185399965367226203000800611, 23017869641032200063747520900208269128931, 60261565071205697732248105661065247381734, 157766825576467073096195748625071126582638, 413038911666039109645251309635908983449346, 1081349909437495888342411047801364613832501
Generating function in Maple syntax:
-(9*x^5-27*x^4+37*x^3-25*x^2+8*x-1)/(x^2-3*x+1)/(2*x-1)^2/(-1+x)^2
Generating function in latex syntax:
-\frac{9 x^{5}-27 x^{4}+37 x^{3}-25 x^{2}+8 x -1}{\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(-1+x \right)^{2}}
Generating function in sympy syntax:
(-9*x**5 + 27*x**4 - 37*x**3 + 25*x**2 - 8*x + 1)/((x - 1)**2*(2*x - 1)**2*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(2*x-1)^2*(-1+x)^2*F(x)+9*x^5-27*x^4+37*x^3-25*x^2+8*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(-1+x \right)^{2} F \! \left(x \right)+9 x^{5}-27 x^{4}+37 x^{3}-25 x^{2}+8 x -1 = 0
Explicit closed form in Maple syntax:
1/10*(5^(1/2)+15)*(3/2-1/2*5^(1/2))^(-n)+1/10*(-5^(1/2)+15)*(3/2+1/2*5^(1/2))^(-n)-2^(-1+n)*n+n-2^(n+1)
Explicit closed form in latex syntax:
\frac{\left(\sqrt{5}+15\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{10}+\frac{\left(-\sqrt{5}+15\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{10}-2^{-1+n} n +n -2^{n +1}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(5) = 73
a(n+4) = -4*a(n)+16*a(n+1)-17*a(n+2)+7*a(n+3)+1-n, n >= 6
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) = 21
a \! \left(5\right) = 73
a \! \left(n +4\right) = -4 a \! \left(n \right)+16 a \! \left(n +1\right)-17 a \! \left(n +2\right)+7 a \! \left(n +3\right)+1-n, \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/14653/
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[283,x]+F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[54,x]
F[33,x] = F[34,x]+F[7,x]
F[34,x] = F[18,x]+F[35,x]+F[45,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[17,x]+F[40,x]
F[40,x] = 2*F[18,x]+F[41,x]+F[43,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[38,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[26,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[14,x]+F[47,x]
F[47,x] = F[48,x]+F[49,x]
F[48,x] = F[27,x]
F[49,x] = 2*F[18,x]+F[50,x]+F[52,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[21,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[48,x]
F[54,x] = F[30,x]+F[55,x]
F[55,x] = F[18,x]+F[251,x]+F[280,x]+F[56,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[58,x]+F[69,x]
F[58,x] = F[34,x]+F[59,x]
F[59,x] = F[18,x]+F[60,x]+F[64,x]+F[67,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[38,x]
F[63,x] = F[40,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[39,x]+F[66,x]
F[66,x] = F[49,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[47,x]
F[69,x] = F[55,x]+F[70,x]
F[70,x] = F[119,x]+F[172,x]+F[18,x]+F[248,x]+F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[81,x]
F[73,x] = F[59,x]+F[74,x]
F[74,x] = F[18,x]+F[75,x]+F[76,x]+F[78,x]+F[80,x]
F[75,x] = 0
F[76,x] = F[4,x]*F[77,x]
F[77,x] = F[63,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[66,x]
F[80,x] = 0
F[81,x] = F[70,x]+F[82,x]
F[82,x] = F[103,x]+F[118,x]+F[18,x]+F[83,x]+F[87,x]+F[88,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[74,x]
F[86,x] = F[82,x]
F[87,x] = 0
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[91,x]
F[91,x] = 3*F[18,x]+F[92,x]+F[96,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = F[94,x]+F[95,x]
F[94,x] = F[40,x]
F[95,x] = F[91,x]
F[96,x] = F[4,x]*F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[4,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[26,x]
F[102,x] = F[98,x]
F[103,x] = F[104,x]*F[4,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]
F[106,x] = 3*F[18,x]+F[107,x]+F[111,x]
F[107,x] = F[108,x]*F[4,x]
F[108,x] = F[109,x]+F[110,x]
F[109,x] = F[49,x]
F[110,x] = F[106,x]
F[111,x] = F[112,x]*F[4,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[4,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[48,x]
F[117,x] = F[113,x]
F[118,x] = 0
F[119,x] = F[120,x]*F[4,x]
F[120,x] = F[121,x]+F[90,x]
F[121,x] = F[122,x]
F[122,x] = 2*F[18,x]+F[123,x]+F[140,x]
F[123,x] = F[124,x]*F[4,x]
F[124,x] = F[125,x]+F[127,x]
F[125,x] = F[126,x]+F[38,x]
F[126,x] = 2*F[18,x]+F[43,x]+F[60,x]
F[127,x] = F[122,x]+F[128,x]
F[128,x] = 2*F[18,x]+F[119,x]+F[129,x]+F[96,x]
F[129,x] = F[130,x]*F[4,x]
F[130,x] = F[131,x]+F[133,x]
F[131,x] = F[126,x]+F[132,x]
F[132,x] = F[76,x]
F[133,x] = F[128,x]+F[134,x]
F[134,x] = 2*F[18,x]+F[135,x]+F[139,x]+F[87,x]+F[88,x]
F[135,x] = F[136,x]*F[4,x]
F[136,x] = F[137,x]+F[138,x]
F[137,x] = F[132,x]
F[138,x] = F[134,x]
F[139,x] = 0
F[140,x] = F[141,x]*F[4,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[4,x]
F[144,x] = F[145,x]+F[151,x]
F[145,x] = F[146,x]+F[4,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[4,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[4,x]
F[150,x] = F[26,x]
F[151,x] = F[142,x]+F[152,x]
F[152,x] = 2*F[18,x]+F[153,x]+F[169,x]
F[153,x] = F[154,x]*F[4,x]
F[154,x] = F[155,x]+F[159,x]
F[155,x] = F[146,x]+F[156,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[4,x]
F[158,x] = F[150,x]
F[159,x] = F[152,x]+F[160,x]
F[160,x] = 2*F[18,x]+F[161,x]+F[165,x]+F[166,x]
F[161,x] = F[162,x]*F[4,x]
F[162,x] = F[163,x]+F[164,x]
F[163,x] = F[156,x]
F[164,x] = F[160,x]
F[165,x] = 0
F[166,x] = F[167,x]*F[4,x]
F[167,x] = F[168,x]
F[168,x] = F[98,x]
F[169,x] = F[170,x]*F[4,x]
F[170,x] = F[168,x]+F[171,x]
F[171,x] = F[142,x]
F[172,x] = F[173,x]*F[4,x]
F[173,x] = F[105,x]+F[174,x]
F[174,x] = F[175,x]+F[91,x]
F[175,x] = 2*F[18,x]+F[176,x]+F[229,x]
F[176,x] = F[177,x]*F[4,x]
F[177,x] = F[178,x]+F[185,x]
F[178,x] = F[17,x]+F[179,x]
F[179,x] = 2*F[18,x]+F[180,x]+F[52,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[21,x]
F[183,x] = F[184,x]
F[184,x] = 2*F[18,x]+F[43,x]+F[50,x]
F[185,x] = F[175,x]+F[186,x]
F[186,x] = 2*F[18,x]+F[111,x]+F[187,x]+F[209,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[189,x]+F[193,x]
F[189,x] = F[179,x]+F[190,x]
F[190,x] = F[191,x]
F[191,x] = F[192,x]*F[4,x]
F[192,x] = F[183,x]
F[193,x] = F[186,x]+F[194,x]
F[194,x] = 2*F[18,x]+F[195,x]+F[199,x]+F[200,x]+F[208,x]
F[195,x] = F[196,x]*F[4,x]
F[196,x] = F[197,x]+F[198,x]
F[197,x] = F[190,x]
F[198,x] = F[194,x]
F[199,x] = 0
F[200,x] = F[201,x]*F[4,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]
F[203,x] = 3*F[18,x]+F[204,x]+F[96,x]
F[204,x] = F[205,x]*F[4,x]
F[205,x] = F[206,x]+F[207,x]
F[206,x] = F[184,x]
F[207,x] = F[203,x]
F[208,x] = 0
F[209,x] = F[210,x]*F[4,x]
F[210,x] = F[202,x]+F[211,x]
F[211,x] = F[212,x]
F[212,x] = 2*F[18,x]+F[140,x]+F[213,x]
F[213,x] = F[214,x]*F[4,x]
F[214,x] = F[215,x]+F[217,x]
F[215,x] = F[21,x]+F[216,x]
F[216,x] = 2*F[18,x]+F[180,x]+F[43,x]
F[217,x] = F[212,x]+F[218,x]
F[218,x] = 2*F[18,x]+F[209,x]+F[219,x]+F[96,x]
F[219,x] = F[220,x]*F[4,x]
F[220,x] = F[221,x]+F[223,x]
F[221,x] = F[216,x]+F[222,x]
F[222,x] = F[191,x]
F[223,x] = F[218,x]+F[224,x]
F[224,x] = 2*F[18,x]+F[139,x]+F[199,x]+F[200,x]+F[225,x]
F[225,x] = F[226,x]*F[4,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[222,x]
F[228,x] = F[224,x]
F[229,x] = F[230,x]*F[4,x]
F[230,x] = F[231,x]+F[98,x]
F[231,x] = F[232,x]
F[232,x] = F[233,x]*F[4,x]
F[233,x] = F[234,x]+F[236,x]
F[234,x] = F[15,x]+F[235,x]
F[235,x] = F[147,x]
F[236,x] = F[231,x]+F[237,x]
F[237,x] = 2*F[18,x]+F[169,x]+F[238,x]
F[238,x] = F[239,x]*F[4,x]
F[239,x] = F[240,x]+F[242,x]
F[240,x] = F[235,x]+F[241,x]
F[241,x] = F[157,x]
F[242,x] = F[237,x]+F[243,x]
F[243,x] = 2*F[18,x]+F[165,x]+F[166,x]+F[244,x]
F[244,x] = F[245,x]*F[4,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[241,x]
F[247,x] = F[243,x]
F[248,x] = F[249,x]*F[4,x]
F[249,x] = F[250,x]
F[250,x] = F[106,x]+F[113,x]
F[251,x] = F[252,x]*F[4,x]
F[252,x] = F[174,x]+F[253,x]
F[253,x] = F[122,x]+F[254,x]
F[254,x] = F[18,x]+F[255,x]+F[278,x]
F[255,x] = F[256,x]*F[4,x]
F[256,x] = F[257,x]+F[259,x]
F[257,x] = F[11,x]+F[258,x]
F[258,x] = F[18,x]+F[24,x]+F[35,x]
F[259,x] = F[254,x]+F[260,x]
F[260,x] = F[18,x]+F[229,x]+F[251,x]+F[261,x]
F[261,x] = F[262,x]*F[4,x]
F[262,x] = F[263,x]+F[265,x]
F[263,x] = F[258,x]+F[264,x]
F[264,x] = F[18,x]+F[52,x]+F[60,x]+F[64,x]
F[265,x] = F[260,x]+F[266,x]
F[266,x] = F[111,x]+F[119,x]+F[172,x]+F[18,x]+F[267,x]
F[267,x] = F[268,x]*F[4,x]
F[268,x] = F[269,x]+F[272,x]
F[269,x] = F[264,x]+F[270,x]
F[270,x] = F[18,x]+F[271,x]+F[75,x]+F[76,x]+F[78,x]
F[271,x] = 0
F[272,x] = F[266,x]+F[273,x]
F[273,x] = F[103,x]+F[18,x]+F[208,x]+F[274,x]+F[87,x]+F[88,x]
F[274,x] = F[275,x]*F[4,x]
F[275,x] = F[276,x]+F[277,x]
F[276,x] = F[270,x]
F[277,x] = F[273,x]
F[278,x] = F[279,x]*F[4,x]
F[279,x] = F[142,x]+F[2,x]
F[280,x] = F[281,x]*F[4,x]
F[281,x] = F[250,x]+F[282,x]
F[282,x] = F[175,x]+F[231,x]
F[283,x] = F[284,x]*F[4,x]
F[284,x] = F[282,x]+F[285,x]
F[285,x] = F[2,x]+F[254,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_{283}\! \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_{54}\! \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_{45}\! \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_{17}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{41}\! \left(x \right)+F_{43}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{26}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{14}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)
F_{48}\! \left(x \right) = F_{27}\! \left(x \right)
F_{49}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{50}\! \left(x \right)+F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{21}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{48}\! \left(x \right)
F_{54}\! \left(x \right) = F_{30}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{18}\! \left(x \right)+F_{251}\! \left(x \right)+F_{280}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{69}\! \left(x \right)
F_{58}\! \left(x \right) = F_{34}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right)+F_{60}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{38}\! \left(x \right)
F_{63}\! \left(x \right) = F_{40}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{39}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{49}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{47}\! \left(x \right)
F_{69}\! \left(x \right) = F_{55}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{119}\! \left(x \right)+F_{172}\! \left(x \right)+F_{18}\! \left(x \right)+F_{248}\! \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_{73}\! \left(x \right)+F_{81}\! \left(x \right)
F_{73}\! \left(x \right) = F_{59}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{18}\! \left(x \right)+F_{75}\! \left(x \right)+F_{76}\! \left(x \right)+F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{75}\! \left(x \right) = 0
F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{63}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{66}\! \left(x \right)
F_{80}\! \left(x \right) = 0
F_{81}\! \left(x \right) = F_{70}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{103}\! \left(x \right)+F_{118}\! \left(x \right)+F_{18}\! \left(x \right)+F_{83}\! \left(x \right)+F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{74}\! \left(x \right)
F_{86}\! \left(x \right) = F_{82}\! \left(x \right)
F_{87}\! \left(x \right) = 0
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{92}\! \left(x \right)+F_{96}\! \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_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{40}\! \left(x \right)
F_{95}\! \left(x \right) = F_{91}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{26}\! \left(x \right)
F_{102}\! \left(x \right) = F_{98}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{107}\! \left(x \right)+F_{111}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{110}\! \left(x \right)
F_{109}\! \left(x \right) = F_{49}\! \left(x \right)
F_{110}\! \left(x \right) = F_{106}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{48}\! \left(x \right)
F_{117}\! \left(x \right) = F_{113}\! \left(x \right)
F_{118}\! \left(x \right) = 0
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_{90}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{123}\! \left(x \right)+F_{140}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{4}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{127}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{38}\! \left(x \right)
F_{126}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{43}\! \left(x \right)+F_{60}\! \left(x \right)
F_{127}\! \left(x \right) = F_{122}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{119}\! \left(x \right)+F_{129}\! \left(x \right)+F_{96}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{131}\! \left(x \right) = F_{126}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{76}\! \left(x \right)
F_{133}\! \left(x \right) = F_{128}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{135}\! \left(x \right)+F_{139}\! \left(x \right)+F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)
F_{137}\! \left(x \right) = F_{132}\! \left(x \right)
F_{138}\! \left(x \right) = F_{134}\! \left(x \right)
F_{139}\! \left(x \right) = 0
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{4}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{151}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{4}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{4}\! \left(x \right)
F_{150}\! \left(x \right) = F_{26}\! \left(x \right)
F_{151}\! \left(x \right) = F_{142}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{153}\! \left(x \right)+F_{169}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{159}\! \left(x \right)
F_{155}\! \left(x \right) = F_{146}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right)
F_{158}\! \left(x \right) = F_{150}\! \left(x \right)
F_{159}\! \left(x \right) = F_{152}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{161}\! \left(x \right)+F_{165}\! \left(x \right)+F_{166}\! \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_{156}\! \left(x \right)
F_{164}\! \left(x \right) = F_{160}\! \left(x \right)
F_{165}\! \left(x \right) = 0
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{98}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{168}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{142}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{105}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{91}\! \left(x \right)
F_{175}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{176}\! \left(x \right)+F_{229}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{185}\! \left(x \right)
F_{178}\! \left(x \right) = F_{17}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{180}\! \left(x \right)+F_{52}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{21}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{43}\! \left(x \right)+F_{50}\! \left(x \right)
F_{185}\! \left(x \right) = F_{175}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{111}\! \left(x \right)+F_{187}\! \left(x \right)+F_{209}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{193}\! \left(x \right)
F_{189}\! \left(x \right) = F_{179}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{183}\! \left(x \right)
F_{193}\! \left(x \right) = F_{186}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{195}\! \left(x \right)+F_{199}\! \left(x \right)+F_{200}\! \left(x \right)+F_{208}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{198}\! \left(x \right)
F_{197}\! \left(x \right) = F_{190}\! \left(x \right)
F_{198}\! \left(x \right) = F_{194}\! \left(x \right)
F_{199}\! \left(x \right) = 0
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{4}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{204}\! \left(x \right)+F_{96}\! \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_{207}\! \left(x \right)
F_{206}\! \left(x \right) = F_{184}\! \left(x \right)
F_{207}\! \left(x \right) = F_{203}\! \left(x \right)
F_{208}\! \left(x \right) = 0
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)
F_{210}\! \left(x \right) = F_{202}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{140}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{217}\! \left(x \right)
F_{215}\! \left(x \right) = F_{21}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{180}\! \left(x \right)+F_{43}\! \left(x \right)
F_{217}\! \left(x \right) = F_{212}\! \left(x \right)+F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{209}\! \left(x \right)+F_{219}\! \left(x \right)+F_{96}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{4}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{223}\! \left(x \right)
F_{221}\! \left(x \right) = F_{216}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{191}\! \left(x \right)
F_{223}\! \left(x \right) = F_{218}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{139}\! \left(x \right)+F_{199}\! \left(x \right)+F_{200}\! \left(x \right)+F_{225}\! \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_{222}\! \left(x \right)
F_{228}\! \left(x \right) = F_{224}\! \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_{98}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right) F_{4}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{236}\! \left(x \right)
F_{234}\! \left(x \right) = F_{15}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{147}\! \left(x \right)
F_{236}\! \left(x \right) = F_{231}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{169}\! \left(x \right)+F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{4}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{242}\! \left(x \right)
F_{240}\! \left(x \right) = F_{235}\! \left(x \right)+F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{157}\! \left(x \right)
F_{242}\! \left(x \right) = F_{237}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{165}\! \left(x \right)+F_{166}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)
F_{246}\! \left(x \right) = F_{241}\! \left(x \right)
F_{247}\! \left(x \right) = F_{243}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{106}\! \left(x \right)+F_{113}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{174}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{122}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{18}\! \left(x \right)+F_{255}\! \left(x \right)+F_{278}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{4}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{259}\! \left(x \right)
F_{257}\! \left(x \right) = F_{11}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{18}\! \left(x \right)+F_{24}\! \left(x \right)+F_{35}\! \left(x \right)
F_{259}\! \left(x \right) = F_{254}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{18}\! \left(x \right)+F_{229}\! \left(x \right)+F_{251}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{265}\! \left(x \right)
F_{263}\! \left(x \right) = F_{258}\! \left(x \right)+F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{18}\! \left(x \right)+F_{52}\! \left(x \right)+F_{60}\! \left(x \right)+F_{64}\! \left(x \right)
F_{265}\! \left(x \right) = F_{260}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{111}\! \left(x \right)+F_{119}\! \left(x \right)+F_{172}\! \left(x \right)+F_{18}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right) F_{4}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{264}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{18}\! \left(x \right)+F_{271}\! \left(x \right)+F_{75}\! \left(x \right)+F_{76}\! \left(x \right)+F_{78}\! \left(x \right)
F_{271}\! \left(x \right) = 0
F_{272}\! \left(x \right) = F_{266}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{103}\! \left(x \right)+F_{18}\! \left(x \right)+F_{208}\! \left(x \right)+F_{274}\! \left(x \right)+F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right) F_{4}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)+F_{277}\! \left(x \right)
F_{276}\! \left(x \right) = F_{270}\! \left(x \right)
F_{277}\! \left(x \right) = F_{273}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{4}\! \left(x \right)
F_{279}\! \left(x \right) = F_{142}\! \left(x \right)+F_{2}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{250}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{175}\! \left(x \right)+F_{231}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right) F_{4}\! \left(x \right)
F_{284}\! \left(x \right) = F_{282}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{2}\! \left(x \right)+F_{254}\! \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_283(x) + F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_54(x))
Eq(F_33(x), F_34(x) + F_7(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_45(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_17(x) + F_40(x))
Eq(F_40(x), 2*F_18(x) + F_41(x) + F_43(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_38(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_26(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_14(x) + F_47(x))
Eq(F_47(x), F_48(x) + F_49(x))
Eq(F_48(x), F_27(x))
Eq(F_49(x), 2*F_18(x) + F_50(x) + F_52(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_21(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_48(x))
Eq(F_54(x), F_30(x) + F_55(x))
Eq(F_55(x), F_18(x) + F_251(x) + F_280(x) + F_56(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_58(x) + F_69(x))
Eq(F_58(x), F_34(x) + F_59(x))
Eq(F_59(x), F_18(x) + F_60(x) + F_64(x) + F_67(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_38(x))
Eq(F_63(x), F_40(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_39(x) + F_66(x))
Eq(F_66(x), F_49(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_47(x))
Eq(F_69(x), F_55(x) + F_70(x))
Eq(F_70(x), F_119(x) + F_172(x) + F_18(x) + F_248(x) + F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_81(x))
Eq(F_73(x), F_59(x) + F_74(x))
Eq(F_74(x), F_18(x) + F_75(x) + F_76(x) + F_78(x) + F_80(x))
Eq(F_75(x), 0)
Eq(F_76(x), F_4(x)*F_77(x))
Eq(F_77(x), F_63(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_66(x))
Eq(F_80(x), 0)
Eq(F_81(x), F_70(x) + F_82(x))
Eq(F_82(x), F_103(x) + F_118(x) + F_18(x) + F_83(x) + F_87(x) + F_88(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_74(x))
Eq(F_86(x), F_82(x))
Eq(F_87(x), 0)
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), 3*F_18(x) + F_92(x) + F_96(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_95(x))
Eq(F_94(x), F_40(x))
Eq(F_95(x), F_91(x))
Eq(F_96(x), F_4(x)*F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_4(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_26(x))
Eq(F_102(x), F_98(x))
Eq(F_103(x), F_104(x)*F_4(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) + F_111(x) + 3*F_18(x))
Eq(F_107(x), F_108(x)*F_4(x))
Eq(F_108(x), F_109(x) + F_110(x))
Eq(F_109(x), F_49(x))
Eq(F_110(x), F_106(x))
Eq(F_111(x), F_112(x)*F_4(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_4(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_48(x))
Eq(F_117(x), F_113(x))
Eq(F_118(x), 0)
Eq(F_119(x), F_120(x)*F_4(x))
Eq(F_120(x), F_121(x) + F_90(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) + F_140(x) + 2*F_18(x))
Eq(F_123(x), F_124(x)*F_4(x))
Eq(F_124(x), F_125(x) + F_127(x))
Eq(F_125(x), F_126(x) + F_38(x))
Eq(F_126(x), 2*F_18(x) + F_43(x) + F_60(x))
Eq(F_127(x), F_122(x) + F_128(x))
Eq(F_128(x), F_119(x) + F_129(x) + 2*F_18(x) + F_96(x))
Eq(F_129(x), F_130(x)*F_4(x))
Eq(F_130(x), F_131(x) + F_133(x))
Eq(F_131(x), F_126(x) + F_132(x))
Eq(F_132(x), F_76(x))
Eq(F_133(x), F_128(x) + F_134(x))
Eq(F_134(x), F_135(x) + F_139(x) + 2*F_18(x) + F_87(x) + F_88(x))
Eq(F_135(x), F_136(x)*F_4(x))
Eq(F_136(x), F_137(x) + F_138(x))
Eq(F_137(x), F_132(x))
Eq(F_138(x), F_134(x))
Eq(F_139(x), 0)
Eq(F_140(x), F_141(x)*F_4(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_4(x))
Eq(F_144(x), F_145(x) + F_151(x))
Eq(F_145(x), F_146(x) + F_4(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_4(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_4(x))
Eq(F_150(x), F_26(x))
Eq(F_151(x), F_142(x) + F_152(x))
Eq(F_152(x), F_153(x) + F_169(x) + 2*F_18(x))
Eq(F_153(x), F_154(x)*F_4(x))
Eq(F_154(x), F_155(x) + F_159(x))
Eq(F_155(x), F_146(x) + F_156(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_4(x))
Eq(F_158(x), F_150(x))
Eq(F_159(x), F_152(x) + F_160(x))
Eq(F_160(x), F_161(x) + F_165(x) + F_166(x) + 2*F_18(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_156(x))
Eq(F_164(x), F_160(x))
Eq(F_165(x), 0)
Eq(F_166(x), F_167(x)*F_4(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_98(x))
Eq(F_169(x), F_170(x)*F_4(x))
Eq(F_170(x), F_168(x) + F_171(x))
Eq(F_171(x), F_142(x))
Eq(F_172(x), F_173(x)*F_4(x))
Eq(F_173(x), F_105(x) + F_174(x))
Eq(F_174(x), F_175(x) + F_91(x))
Eq(F_175(x), F_176(x) + 2*F_18(x) + F_229(x))
Eq(F_176(x), F_177(x)*F_4(x))
Eq(F_177(x), F_178(x) + F_185(x))
Eq(F_178(x), F_17(x) + F_179(x))
Eq(F_179(x), 2*F_18(x) + F_180(x) + F_52(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_21(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), 2*F_18(x) + F_43(x) + F_50(x))
Eq(F_185(x), F_175(x) + F_186(x))
Eq(F_186(x), F_111(x) + 2*F_18(x) + F_187(x) + F_209(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_189(x) + F_193(x))
Eq(F_189(x), F_179(x) + F_190(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_192(x)*F_4(x))
Eq(F_192(x), F_183(x))
Eq(F_193(x), F_186(x) + F_194(x))
Eq(F_194(x), 2*F_18(x) + F_195(x) + F_199(x) + F_200(x) + F_208(x))
Eq(F_195(x), F_196(x)*F_4(x))
Eq(F_196(x), F_197(x) + F_198(x))
Eq(F_197(x), F_190(x))
Eq(F_198(x), F_194(x))
Eq(F_199(x), 0)
Eq(F_200(x), F_201(x)*F_4(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), 3*F_18(x) + F_204(x) + F_96(x))
Eq(F_204(x), F_205(x)*F_4(x))
Eq(F_205(x), F_206(x) + F_207(x))
Eq(F_206(x), F_184(x))
Eq(F_207(x), F_203(x))
Eq(F_208(x), 0)
Eq(F_209(x), F_210(x)*F_4(x))
Eq(F_210(x), F_202(x) + F_211(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_140(x) + 2*F_18(x) + F_213(x))
Eq(F_213(x), F_214(x)*F_4(x))
Eq(F_214(x), F_215(x) + F_217(x))
Eq(F_215(x), F_21(x) + F_216(x))
Eq(F_216(x), 2*F_18(x) + F_180(x) + F_43(x))
Eq(F_217(x), F_212(x) + F_218(x))
Eq(F_218(x), 2*F_18(x) + F_209(x) + F_219(x) + F_96(x))
Eq(F_219(x), F_220(x)*F_4(x))
Eq(F_220(x), F_221(x) + F_223(x))
Eq(F_221(x), F_216(x) + F_222(x))
Eq(F_222(x), F_191(x))
Eq(F_223(x), F_218(x) + F_224(x))
Eq(F_224(x), F_139(x) + 2*F_18(x) + F_199(x) + F_200(x) + F_225(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_222(x))
Eq(F_228(x), F_224(x))
Eq(F_229(x), F_230(x)*F_4(x))
Eq(F_230(x), F_231(x) + F_98(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)*F_4(x))
Eq(F_233(x), F_234(x) + F_236(x))
Eq(F_234(x), F_15(x) + F_235(x))
Eq(F_235(x), F_147(x))
Eq(F_236(x), F_231(x) + F_237(x))
Eq(F_237(x), F_169(x) + 2*F_18(x) + F_238(x))
Eq(F_238(x), F_239(x)*F_4(x))
Eq(F_239(x), F_240(x) + F_242(x))
Eq(F_240(x), F_235(x) + F_241(x))
Eq(F_241(x), F_157(x))
Eq(F_242(x), F_237(x) + F_243(x))
Eq(F_243(x), F_165(x) + F_166(x) + 2*F_18(x) + F_244(x))
Eq(F_244(x), F_245(x)*F_4(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_241(x))
Eq(F_247(x), F_243(x))
Eq(F_248(x), F_249(x)*F_4(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_106(x) + F_113(x))
Eq(F_251(x), F_252(x)*F_4(x))
Eq(F_252(x), F_174(x) + F_253(x))
Eq(F_253(x), F_122(x) + F_254(x))
Eq(F_254(x), F_18(x) + F_255(x) + F_278(x))
Eq(F_255(x), F_256(x)*F_4(x))
Eq(F_256(x), F_257(x) + F_259(x))
Eq(F_257(x), F_11(x) + F_258(x))
Eq(F_258(x), F_18(x) + F_24(x) + F_35(x))
Eq(F_259(x), F_254(x) + F_260(x))
Eq(F_260(x), F_18(x) + F_229(x) + F_251(x) + F_261(x))
Eq(F_261(x), F_262(x)*F_4(x))
Eq(F_262(x), F_263(x) + F_265(x))
Eq(F_263(x), F_258(x) + F_264(x))
Eq(F_264(x), F_18(x) + F_52(x) + F_60(x) + F_64(x))
Eq(F_265(x), F_260(x) + F_266(x))
Eq(F_266(x), F_111(x) + F_119(x) + F_172(x) + F_18(x) + F_267(x))
Eq(F_267(x), F_268(x)*F_4(x))
Eq(F_268(x), F_269(x) + F_272(x))
Eq(F_269(x), F_264(x) + F_270(x))
Eq(F_270(x), F_18(x) + F_271(x) + F_75(x) + F_76(x) + F_78(x))
Eq(F_271(x), 0)
Eq(F_272(x), F_266(x) + F_273(x))
Eq(F_273(x), F_103(x) + F_18(x) + F_208(x) + F_274(x) + F_87(x) + F_88(x))
Eq(F_274(x), F_275(x)*F_4(x))
Eq(F_275(x), F_276(x) + F_277(x))
Eq(F_276(x), F_270(x))
Eq(F_277(x), F_273(x))
Eq(F_278(x), F_279(x)*F_4(x))
Eq(F_279(x), F_142(x) + F_2(x))
Eq(F_280(x), F_281(x)*F_4(x))
Eq(F_281(x), F_250(x) + F_282(x))
Eq(F_282(x), F_175(x) + F_231(x))
Eq(F_283(x), F_284(x)*F_4(x))
Eq(F_284(x), F_282(x) + F_285(x))
Eq(F_285(x), F_2(x) + F_254(x))
Pack JSON:
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Specification JSON:
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