0123_0231_0321_1032_2013
Counting sequence:
1, 1, 2, 6, 19, 53, 148, 418, 1185, 3353, 9482, 26818, 75859, 214577, 606948, 1716798, 4856105, 13735901, 38853138, 109899318, 310859331, 879291405, 2487148676, 7035106314, 19899381697, 56287051601, 159212593962, 450346027258, 1273841090179, 3603165177049, 10191851552948, 28828497438566, 81543796065641, 230653390485045, 652422245579858, 1845430434091406, 5219953044433555, 14765070133627925, 41764225500731252, 118133575790022482, 334150617223648417, 945172735560042761, 2673499475980709002, 7562215010184315122, 21390352372999530995, 60504385821467775553, 171141673582429443268, 484088418367227297486, 1369284242066350656489, 3873134048311190604365, 10955480896756371789522, 30988486373593871129126, 87653503919734678920227, 247935205894856217316829, 701305293835318206529700, 1983700190484508079871706, 5611060518605343865984449, 15871350063117084801404545, 44893430037111342596526634, 126984790360120666600843818, 359187011762609413579634851, 1015990254053842398605427561, 2873812700707026964427735828, 8128817580475866556266049142, 22993034737579392596933421225, 65037705817551804169013535781, 183964545188858255598017851794, 520358974246140034405650067454, 1471878517681320703869280630515, 4163330466146625155944369904997, 11776325533747307701227487783956, 33310313510891182209222638508706, 94220984551943225421312058773281, 266511869575616410660091204144057, 753850927820998553858750427925514, 2132329874393610225353462439855266, 6031471907017552619285906936313491, 17060518544527392556840567087752273, 48257091717448999562986575214361508, 136499186407982382094394489515505246, 386099270116273424064902349412822953, 1092113808933306569538408454240202685, 3089134489437471880657009519076508818, 8737873118876449261560338281004434198, 24715798843541764557503429497971631875, 69910686978820382582553971941641729709, 197748176572804163073956026737630603716, 559347118842011825958624195293077564074, 1582159718381382327976356713517178213569, 4475269989145496557094503056883427876017, 12658672347085086730248580762018160726570, 35806104655029561287396932279799126437978, 101280536806227834693072184170710847762371, 286480398652267257980304493681084076900601, 810333568521482680881546384562609975078516, 2292095708334297568471703547213018627520134, 6483382819436073829325219254539353427031273, 18338786042187485446959965219988398086928661, 51872777355199110925828863734401911257630674, 146726453122471550935032159563057506417877870, 415027942276606579847934611589411675681953875
Generating function in Maple syntax:
-(2*x-1)/(2*x^5-2*x^4-x^3+x^2-3*x+1)
Generating function in latex syntax:
-\frac{2 x -1}{2 x^{5}-2 x^{4}-x^{3}+x^{2}-3 x +1}
Generating function in sympy syntax:
(1 - 2*x)/(2*x**5 - 2*x**4 - x**3 + x**2 - 3*x + 1)
Implicit equation for the generating function in Maple syntax:
(2*x^5-2*x^4-x^3+x^2-3*x+1)*F(x)+2*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x^{5}-2 x^{4}-x^{3}+x^{2}-3 x +1\right) F \! \left(x \right)+2 x -1 = 0
Explicit closed form in Maple syntax:
-928/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 1)^(-n+3)-928/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 2)^(-n+3)-928/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 3)^(-n+3)-928/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 4)^(-n+3)-928/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 5)^(-n+3)-201/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 1)^(-n+2)-201/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 2)^(-n+2)-201/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 3)^(-n+2)-201/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 4)^(-n+2)-201/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 5)^(-n+2)+1133/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 1)^(-n+1)+1133/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 2)^(-n+1)+1133/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 3)^(-n+1)+1133/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 4)^(-n+1)+1133/14873*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 5)^(-n+1)+855/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 1)^(-n-1)+855/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 2)^(-n-1)+855/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 3)^(-n-1)+855/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 4)^(-n-1)+855/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 5)^(-n-1)+5515/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 1)^(-n)+5515/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 2)^(-n)+5515/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 3)^(-n)+5515/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 4)^(-n)+5515/29746*RootOf(2*_Z^5-2*_Z^4-_Z^3+_Z^2-3*_Z+1,index = 5)^(-n)
Explicit closed form in latex syntax:
-\frac{928 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +3}}{14873}-\frac{928 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +3}}{14873}-\frac{928 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +3}}{14873}-\frac{928 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +3}}{14873}-\frac{928 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +3}}{14873}-\frac{201 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +2}}{14873}-\frac{201 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +2}}{14873}-\frac{201 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +2}}{14873}-\frac{201 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +2}}{14873}-\frac{201 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +2}}{14873}+\frac{1133 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +1}}{14873}+\frac{1133 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +1}}{14873}+\frac{1133 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +1}}{14873}+\frac{1133 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +1}}{14873}+\frac{1133 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +1}}{14873}+\frac{855 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =1\right)^{-n -1}}{29746}+\frac{855 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =2\right)^{-n -1}}{29746}+\frac{855 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =3\right)^{-n -1}}{29746}+\frac{855 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =4\right)^{-n -1}}{29746}+\frac{855 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =5\right)^{-n -1}}{29746}+\frac{5515 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =1\right)^{-n}}{29746}+\frac{5515 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =2\right)^{-n}}{29746}+\frac{5515 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =3\right)^{-n}}{29746}+\frac{5515 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =4\right)^{-n}}{29746}+\frac{5515 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-3 \textit{\_Z} +1, \mathit{index} =5\right)^{-n}}{29746}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(n+5) = -2*a(n)+2*a(n+1)+a(n+2)-a(n+3)+3*a(n+4), n >= 5
Recurrence in latex format:
a \! \left(0\right) = 1
a \! \left(1\right) = 1
a \! \left(2\right) = 2
a \! \left(3\right) = 6
a \! \left(4\right) = 19
a \! \left(n +5\right) = -2 a \! \left(n \right)+2 a \! \left(n +1\right)+a \! \left(n +2\right)-a \! \left(n +3\right)+3 a \! \left(n +4\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/17075/
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[20,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[18,x] = F[19,x]*F[4,x]
F[19,x] = F[4,x]
F[20,x] = F[2,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]+F[46,x]
F[22,x] = 0
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[15,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[15,x]
F[29,x] = F[30,x]+F[43,x]
F[30,x] = F[22,x]+F[23,x]+F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[2,x]+F[33,x]
F[33,x] = F[22,x]+F[34,x]+F[42,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[37,x]+F[4,x]
F[37,x] = F[38,x]
F[38,x] = F[15,x]*F[4,x]
F[39,x] = F[33,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[30,x]*F[4,x]
F[42,x] = F[2,x]*F[4,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[30,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[2,x]+F[49,x]
F[49,x] = F[22,x]+F[34,x]+F[50,x]
F[50,x] = F[32,x]*F[4,x]
F[51,x] = F[30,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[33,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_{20}\! \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_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{46}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{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_{15}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{43}\! \left(x \right)
F_{30}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \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_{2}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{22}\! \left(x \right)+F_{34}\! \left(x \right)+F_{42}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{33}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{42}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \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_{30}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right)+F_{34}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{51}\! \left(x \right) = F_{30}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{33}\! \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_20(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))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_4(x))
Eq(F_20(x), F_2(x) + F_21(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_46(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_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_15(x))
Eq(F_29(x), F_30(x) + F_43(x))
Eq(F_30(x), F_22(x) + F_23(x) + F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_2(x) + F_33(x))
Eq(F_33(x), F_22(x) + F_34(x) + F_42(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_37(x) + F_4(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_15(x)*F_4(x))
Eq(F_39(x), F_33(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_30(x)*F_4(x))
Eq(F_42(x), F_2(x)*F_4(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_30(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_2(x) + F_49(x))
Eq(F_49(x), F_22(x) + F_34(x) + F_50(x))
Eq(F_50(x), F_32(x)*F_4(x))
Eq(F_51(x), F_30(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_33(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "initial_strats": [{"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}], "iterative": false, "name": "point_placements", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
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