0231_0321_2013_2031_2103
Counting sequence:
1, 1, 2, 6, 19, 56, 158, 441, 1235, 3473, 9782, 27551, 77570, 218358, 614657, 1730245, 4870695, 13711236, 38597727, 108654084, 305865194, 861021625, 2423807503, 6823107745, 19207300878, 54069262419, 152206972302, 428468252026, 1206153964585, 3395367989553, 9558086386143, 26906366452060, 75742416039987, 213217700634936, 600215707929158, 1689629402125785, 4756369216642075, 13389355142959809, 37691529605609942, 106103048940116551, 298684004395283274, 840806511902884990, 2366901407692122161, 6662914944671740589, 18756351834366250951, 52799823659142577732, 148633455111914288359, 418408669716837067228, 1177835869874629457474, 3315651507178842343001, 9333681541068619657143, 26274658516271523810097, 73964134849584784154382, 208211773357953995432955, 586123837627871192922486, 1649960266391916490912322, 4644699133360466361414873, 13074999731123924698636601, 36806607502519401460538783, 103611960512680289730810172, 291671498400019127222104059, 821066048340056309518346544, 2311331273144073082595482270, 6506482962015293546560624505, 18315990021373481715151964515, 51560188879545461726400514737, 145143837389743843570707558454, 408585266850677227380832816879, 1150182627727848486214567621458, 3237806608456140826471906535942, 9114545273972608219782968850401, 25657781824995535998691265471701, 72227604163530506430457913210407, 203323375293552172969759829116484, 572362816398615146532270478814703, 1611222483016411520173813982735476, 4535650841387976162325855993276186, 12768024758734646703117808503961977, 35942461609274503419036766128441247, 101179357883873586736089188627103489, 284823632089555446087697312683407822, 801789051575078442401889078077236643, 2257065814761926997013915130295472670, 6353723690987433836088980903016951306, 17885967027360761961574066733965560073, 50349658257505909204681051002590395265, 141736148946804159735677899604594251039, 398992497933704494532933724956927905372, 1123178628672390529381442892816700809795, 3161789353031906259885199997520370611432, 8900553890312514219691757065051713026678, 25055388170749466016407555660674583097497, 70531843762016710704560872656366754329323, 198549747087024646892247331745469609983713, 558924876561234282306630169919808874379094, 1573394185700306665072024641978263577760663, 4429162786287817858711810031930230119957786, 12468256947768789835482255046289558552249230, 35098604141817309610121189198755008999210513, 98803867923530994861224484387387018835852605, 278136540051734855659699705074290220875697991
Generating function in Maple syntax:
(x^2+x-1)*(x-1)^3/(4*x^5-2*x^4-5*x^3+8*x^2-5*x+1)
Generating function in latex syntax:
\frac{\left(x^{2}+x -1\right) \left(x -1\right)^{3}}{4 x^{5}-2 x^{4}-5 x^{3}+8 x^{2}-5 x +1}
Generating function in sympy syntax:
(x - 1)**3*(x**2 + x - 1)/(4*x**5 - 2*x**4 - 5*x**3 + 8*x**2 - 5*x + 1)
Implicit equation for the generating function in Maple syntax:
(4*x^5-2*x^4-5*x^3+8*x^2-5*x+1)*F(x)-(x^2+x-1)*(x-1)^3 = 0
Implicit equation for the generating function in latex syntax:
\left(4 x^{5}-2 x^{4}-5 x^{3}+8 x^{2}-5 x +1\right) F \! \left(x \right)-\left(x^{2}+x -1\right) \left(x -1\right)^{3} = 0
Explicit closed form in Maple syntax:
-66/203*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+3)-66/203*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+3)-66/203*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n+3)-66/203*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n+3)-66/203*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n+3)-457/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+2)-457/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+2)-457/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n+2)-457/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n+2)-457/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n+2)+1144/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+1)+1144/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+1)+1144/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n+1)+1144/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n+1)+1144/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n+1)+565/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n-1)+565/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n-1)+565/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n-1)+565/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n-1)+565/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n-1)-808/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n)-808/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n)-808/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n)-808/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n)-808/3451*RootOf(4*_Z^5-2*_Z^4-5*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n)+piecewise(n = 0,1/4,0)
Explicit closed form in latex syntax:
-\frac{66 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +3}}{203}-\frac{66 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +3}}{203}-\frac{66 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +3}}{203}-\frac{66 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +3}}{203}-\frac{66 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +3}}{203}-\frac{457 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +2}}{3451}-\frac{457 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +2}}{3451}-\frac{457 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +2}}{3451}-\frac{457 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +2}}{3451}-\frac{457 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +2}}{3451}+\frac{1144 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +1}}{3451}+\frac{1144 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +1}}{3451}+\frac{1144 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +1}}{3451}+\frac{1144 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +1}}{3451}+\frac{1144 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +1}}{3451}+\frac{565 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n -1}}{3451}+\frac{565 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n -1}}{3451}+\frac{565 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n -1}}{3451}+\frac{565 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n -1}}{3451}+\frac{565 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n -1}}{3451}-\frac{808 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n}}{3451}-\frac{808 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n}}{3451}-\frac{808 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n}}{3451}-\frac{808 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n}}{3451}-\frac{808 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-2 \textit{\_Z}^{4}-5 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n}}{3451}+\left(\left\{\begin{array}{cc}\frac{1}{4} & n =0 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 56
a(n+5) = -4*a(n)+2*a(n+1)+5*a(n+2)-8*a(n+3)+5*a(n+4), 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) = 19
a \! \left(5\right) = 56
a \! \left(n +5\right) = -4 a \! \left(n \right)+2 a \! \left(n +1\right)+5 a \! \left(n +2\right)-8 a \! \left(n +3\right)+5 a \! \left(n +4\right), \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/20926/
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[17,x]+F[6,x]
F[6,x] = F[1,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[6,x]
F[10,x] = F[11,x]+F[14,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[1,x]+F[11,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[7,x]
F[17,x] = F[18,x]+F[2,x]
F[18,x] = F[19,x]+F[20,x]+F[35,x]
F[19,x] = 0
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[7,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]*F[4,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[2,x]+F[24,x]
F[28,x] = F[29,x]+F[32,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[2,x]+F[29,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[24,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[17,x]+F[37,x]
F[37,x] = F[38,x]+F[45,x]
F[38,x] = F[19,x]+F[39,x]+F[43,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[11,x]
F[42,x] = F[29,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[2,x]+F[38,x]
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[24,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_{17}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{14}\! \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_{11}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = F_{7}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)+F_{35}\! \left(x \right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = F_{7}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{2}\! \left(x \right)+F_{24}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{32}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{2}\! \left(x \right)+F_{29}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{24}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{17}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{45}\! \left(x \right)
F_{38}\! \left(x \right) = F_{19}\! \left(x \right)+F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{11}\! \left(x \right)
F_{42}\! \left(x \right) = F_{29}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{24}\! \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_17(x) + F_6(x))
Eq(F_6(x), F_1(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_6(x))
Eq(F_10(x), F_11(x) + F_14(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_11(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_7(x))
Eq(F_17(x), F_18(x) + F_2(x))
Eq(F_18(x), F_19(x) + F_20(x) + F_35(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_7(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x)*F_4(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_2(x) + F_24(x))
Eq(F_28(x), F_29(x) + F_32(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_2(x) + F_29(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_24(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_17(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_45(x))
Eq(F_38(x), F_19(x) + F_39(x) + F_43(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_11(x))
Eq(F_42(x), F_29(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_2(x) + F_38(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_24(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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