0213_0321_1302_2103
Counting sequence:
1, 1, 2, 6, 20, 64, 194, 570, 1660, 4848, 14230, 41894, 123428, 363504, 1069986, 3148650, 9265036, 27264032, 80233558, 236120342, 694884020, 2044979168, 6018151874, 17710725722, 52120610268, 153385000464, 451394768086, 1328404211398, 3909344713476, 11504762582800, 33857222866210, 99637998627594, 293223423126380, 862923560006848, 2539487010371350, 7473424744968374, 21993448744854804, 64724246758686080, 190476180659522498, 560549982589749626, 1649635570748002876, 4854692000736799792, 14286812700344248598, 42044483379365190374, 123732187136765024996, 364129914390561173296, 1071593395556390581154, 3153578873960617410986, 9280628040017382935628, 27311844814921571514464, 80375688367019129686230, 236536613482184440559958, 696100657479078372364916, 2048545965926164645785632, 6028640440751686451193538, 17741610961331272041316250, 52211566205793861221555100, 153652768714384217258204496, 452182821724590250811161686, 1330723201238814718590394374, 3916168755729133325561942468, 11524844317038967462753014864, 33916320980211647263388032802, 99811919119120138060651261770, 293735255190393973299209589292, 864429828653979448899089067776, 2543919789888351302251066567062, 7486469905212012118691313312502, 22031839157988931406767850720980, 64837225398523544174754774769600, 190808664098956496961057002182338, 561528444060431400544996299127994, 1652515073033591043961084605387260, 4863166052384920341140354364232048, 14311750881432585351324267169347222, 42117873641542346705129433532126758, 123948166424998675571371293915328420, 364765517150085976303552943505442416, 1073463903012077883014443828390447010, 3159083567090004317770478351566394346, 9296827732963667073420042996089965836, 27359518689788392848939952762739767456, 80515987220326582977683054621101033814, 236949497232326269339082276424200293782, 697315727931336205091311484028379056692, 2052121781645510300354352709005511257184, 6039163664351788937592482663490213735362, 17772579625163358481418391945193148735706, 52302703501358897989945845925779734299996, 153920975527823301592949642401851063134352, 452972124219568053251887168001296469788630, 1333046029732952473483820860302735371099462, 3923004578810287080085867635628776303617156, 11544961375751992084713020110840456325227920, 33975523222057122530385788973282249465380130, 99986144660215808442563588937920178501259146, 294247981368049644767805589445992194490944748, 865938724144273991346387742387421243941844288, 2548360299657213093799801204700457034982234134, 7499537826174190887023223122382711329892260150, 22070296580033410994501494103309218455160124564
Generating function in Maple syntax:
(x-1)^5/(4*x^5-11*x^4+18*x^3-14*x^2+6*x-1)
Generating function in latex syntax:
\frac{\left(x -1\right)^{5}}{4 x^{5}-11 x^{4}+18 x^{3}-14 x^{2}+6 x -1}
Generating function in sympy syntax:
(x - 1)**5/(4*x**5 - 11*x**4 + 18*x**3 - 14*x**2 + 6*x - 1)
Implicit equation for the generating function in Maple syntax:
(4*x^5-11*x^4+18*x^3-14*x^2+6*x-1)*F(x)-(x-1)^5 = 0
Implicit equation for the generating function in latex syntax:
\left(4 x^{5}-11 x^{4}+18 x^{3}-14 x^{2}+6 x -1\right) F \! \left(x \right)-\left(x -1\right)^{5} = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1/4,0)+86/1481*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 1)^(-n+3)+86/1481*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 2)^(-n+3)+86/1481*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 3)^(-n+3)+86/1481*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 4)^(-n+3)+86/1481*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 5)^(-n+3)-405/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 1)^(-n+2)-405/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 2)^(-n+2)-405/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 3)^(-n+2)-405/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 4)^(-n+2)-405/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 5)^(-n+2)+545/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 1)^(-n+1)+545/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 2)^(-n+1)+545/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 3)^(-n+1)+545/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 4)^(-n+1)+545/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 5)^(-n+1)+283/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 1)^(-n-1)+283/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 2)^(-n-1)+283/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 3)^(-n-1)+283/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 4)^(-n-1)+283/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 5)^(-n-1)-111/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 1)^(-n)-111/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 2)^(-n)-111/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 3)^(-n)-111/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 4)^(-n)-111/2962*RootOf(4*_Z^5-11*_Z^4+18*_Z^3-14*_Z^2+6*_Z-1,index = 5)^(-n)
Explicit closed form in latex syntax:
\frac{86 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +3}}{1481}+\frac{86 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +3}}{1481}+\frac{86 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +3}}{1481}+\frac{86 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +3}}{1481}+\frac{86 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +3}}{1481}-\frac{405 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +2}}{2962}-\frac{405 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +2}}{2962}-\frac{405 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +2}}{2962}-\frac{405 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +2}}{2962}-\frac{405 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +2}}{2962}+\frac{545 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +1}}{2962}+\frac{545 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +1}}{2962}+\frac{545 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +1}}{2962}+\frac{545 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +1}}{2962}+\frac{545 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +1}}{2962}+\frac{283 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =1\right)^{-n -1}}{2962}+\frac{283 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =2\right)^{-n -1}}{2962}+\frac{283 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =3\right)^{-n -1}}{2962}+\frac{283 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =4\right)^{-n -1}}{2962}+\frac{283 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =5\right)^{-n -1}}{2962}-\frac{111 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =1\right)^{-n}}{2962}-\frac{111 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =2\right)^{-n}}{2962}-\frac{111 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =3\right)^{-n}}{2962}-\frac{111 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =4\right)^{-n}}{2962}-\frac{111 \mathit{RootOf}\! \left(4 \textit{\_Z}^{5}-11 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-14 \textit{\_Z}^{2}+6 \textit{\_Z} -1, \mathit{index} =5\right)^{-n}}{2962}+\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) = 20
a(5) = 64
a(n+5) = 4*a(n)-11*a(n+1)+18*a(n+2)-14*a(n+3)+6*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) = 20
a \! \left(5\right) = 64
a \! \left(n +5\right) = 4 a \! \left(n \right)-11 a \! \left(n +1\right)+18 a \! \left(n +2\right)-14 a \! \left(n +3\right)+6 a \! \left(n +4\right), \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15744/
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[10,x]
F[17,x] = F[18,x]+F[2,x]
F[18,x] = F[19,x]+F[20,x]+F[49,x]
F[19,x] = 0
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[30,x]
F[22,x] = F[23,x]+F[7,x]
F[23,x] = F[15,x]+F[19,x]+F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[22,x]+F[26,x]
F[26,x] = F[14,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[26,x]
F[30,x] = F[31,x]+F[42,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = F[2,x]+F[31,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[2,x]+F[36,x]
F[39,x] = F[40,x]
F[40,x] = F[4,x]*F[41,x]
F[41,x] = F[35,x]
F[42,x] = 2*F[19,x]+F[40,x]+F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[30,x]+F[45,x]
F[45,x] = F[39,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[45,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[17,x]+F[51,x]
F[51,x] = F[36,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[51,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_{10}\! \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_{49}\! \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_{30}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{7}\! \left(x \right)
F_{23}\! \left(x \right) = F_{15}\! \left(x \right)+F_{19}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{22}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{26}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{42}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \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_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{35}\! \left(x \right)
F_{42}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{30}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{39}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{17}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{36}\! \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_{51}\! \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_10(x))
Eq(F_17(x), F_18(x) + F_2(x))
Eq(F_18(x), F_19(x) + F_20(x) + F_49(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_30(x))
Eq(F_22(x), F_23(x) + F_7(x))
Eq(F_23(x), F_15(x) + F_19(x) + F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_22(x) + F_26(x))
Eq(F_26(x), F_14(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_26(x))
Eq(F_30(x), F_31(x) + F_42(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), F_2(x) + F_31(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_2(x) + F_36(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_4(x)*F_41(x))
Eq(F_41(x), F_35(x))
Eq(F_42(x), 2*F_19(x) + F_40(x) + F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_30(x) + F_45(x))
Eq(F_45(x), F_39(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_45(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_17(x) + F_51(x))
Eq(F_51(x), F_36(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_51(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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