0132_0231_1023_2031_2103
Counting sequence:
1, 1, 2, 6, 19, 53, 141, 377, 1022, 2782, 7561, 20517, 55659, 151033, 409902, 1112474, 3019143, 8193525, 22236117, 60346085, 163772050, 444457482, 1206203085, 3273486981, 8883842307, 24109660045, 65430664690, 177570808574, 481905419371, 1307832268805, 3549296557261, 9632356041697, 26141034257926, 70943564482326, 192532142826113, 522508648851701, 1418024461380075, 3848344668532721, 10443935976498774, 28343562772051266, 76920957043518751, 208754053965586341, 566532928372390005, 1537500962654757037, 4172589256118839706, 11323896064569682498, 30731666648744776933, 83401978402516031093, 226342751955428295331, 614266499956444136677, 1667044028178304606362, 4524153265857737400614, 12277997717515599350499, 33320981649532516370389, 90429062102248434664525, 245413396240894682396041, 666021892236266746292366, 1807501822364088629516750, 4905338512041782918113081, 13312487777328153323105029, 36128460938314530601421995, 98048216952676042599547177, 266090849095757736342578430, 722137966126153442265144682, 1959793972220187481701087223, 5318640749709060642245642389, 14434139417430324580681196245, 39172486077991383007880909749, 106309328263618032294271025186, 288510493139505198139247804922, 782982133469908366413349644221, 2124917588479710337980762170277, 5766766015234955578691800885379, 15650296489033173224067497021565, 42472987381067654324868886374850, 115266484461584467099059326814926, 312819117735407824570893140016539, 848952762616542842154435366741733, 2303953794038471422036246966475661, 6252648343712251934105705146325361, 16968921603935060885232101706276758, 46051574400478596751557518046091526, 124978331225893476054219760471275953, 339175880072556473090053069693127253, 920481786679183456112364240014121387, 2498074802450133838197163968109491105, 6779468979119780247138151675518959398, 18398648268565955142997857370335442962, 49931677414999525199021585076812806159, 135508455462739212995622095645731095749, 367753347224442559130115710419502101237, 998037531554398666987160257775901675005, 2708551592824206339193576731925162497066, 7350677203055342420956547405991255501618, 19948837410616896788945818514570856130901, 54138700835593213956501772792964694476309, 146925801631225150570323444439342878404259, 398738626006809049397137581792972396266581, 1082127782217989512509972919849622316077930, 2936762231377172825714107683954821778810358, 7970012918406018660552436362596478609369747
Generating function in Maple syntax:
-(x-1)^3/(2*x^5-x^4-4*x^3+5*x^2-4*x+1)
Generating function in latex syntax:
-\frac{\left(x -1\right)^{3}}{2 x^{5}-x^{4}-4 x^{3}+5 x^{2}-4 x +1}
Generating function in sympy syntax:
-(x - 1)**3/(2*x**5 - x**4 - 4*x**3 + 5*x**2 - 4*x + 1)
Implicit equation for the generating function in Maple syntax:
(2*x^5-x^4-4*x^3+5*x^2-4*x+1)*F(x)+(x-1)^3 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x^{5}-x^{4}-4 x^{3}+5 x^{2}-4 x +1\right) F \! \left(x \right)+\left(x -1\right)^{3} = 0
Explicit closed form in Maple syntax:
-328/3631*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 1)^(-n+3)-328/3631*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 2)^(-n+3)-328/3631*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 3)^(-n+3)-328/3631*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 4)^(-n+3)-328/3631*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 5)^(-n+3)-421/7262*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 1)^(-n+2)-421/7262*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 2)^(-n+2)-421/7262*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 3)^(-n+2)-421/7262*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 4)^(-n+2)-421/7262*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 5)^(-n+2)+1563/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 1)^(-n+1)+1563/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 2)^(-n+1)+1563/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 3)^(-n+1)+1563/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 4)^(-n+1)+1563/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 5)^(-n+1)+1229/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 1)^(-n-1)+1229/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 2)^(-n-1)+1229/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 3)^(-n-1)+1229/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 4)^(-n-1)+1229/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 5)^(-n-1)+1333/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 1)^(-n)+1333/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 2)^(-n)+1333/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 3)^(-n)+1333/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 4)^(-n)+1333/14524*RootOf(2*_Z^5-_Z^4-4*_Z^3+5*_Z^2-4*_Z+1,index = 5)^(-n)
Explicit closed form in latex syntax:
-\frac{328 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +3}}{3631}-\frac{328 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +3}}{3631}-\frac{328 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +3}}{3631}-\frac{328 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +3}}{3631}-\frac{328 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +3}}{3631}-\frac{421 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +2}}{7262}-\frac{421 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +2}}{7262}-\frac{421 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +2}}{7262}-\frac{421 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +2}}{7262}-\frac{421 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +2}}{7262}+\frac{1563 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +1}}{14524}+\frac{1563 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +1}}{14524}+\frac{1563 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +1}}{14524}+\frac{1563 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +1}}{14524}+\frac{1563 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =5\right)^{-n +1}}{14524}+\frac{1229 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =1\right)^{-n -1}}{14524}+\frac{1229 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =2\right)^{-n -1}}{14524}+\frac{1229 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =3\right)^{-n -1}}{14524}+\frac{1229 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =4\right)^{-n -1}}{14524}+\frac{1229 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =5\right)^{-n -1}}{14524}+\frac{1333 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =1\right)^{-n}}{14524}+\frac{1333 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =2\right)^{-n}}{14524}+\frac{1333 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =3\right)^{-n}}{14524}+\frac{1333 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =4\right)^{-n}}{14524}+\frac{1333 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+5 \textit{\_Z}^{2}-4 \textit{\_Z} +1, \mathit{index} =5\right)^{-n}}{14524}
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)+a(n+1)+4*a(n+2)-5*a(n+3)+4*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)+a \! \left(n +1\right)+4 a \! \left(n +2\right)-5 a \! \left(n +3\right)+4 a \! \left(n +4\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18805/
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[13,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[4,x]
F[13,x] = F[14,x]+F[7,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[4,x]
F[18,x] = F[19,x]
F[19,x] = F[17,x]*F[4,x]
F[20,x] = F[2,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]+F[42,x]
F[22,x] = 0
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[30,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[1,x]+F[26,x]
F[29,x] = F[15,x]
F[30,x] = F[31,x]+F[34,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[2,x]+F[31,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]+F[40,x]
F[38,x] = F[39,x]
F[39,x] = F[2,x]*F[4,x]
F[40,x] = F[41,x]
F[41,x] = F[37,x]*F[4,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[44,x]+F[53,x]
F[44,x] = F[2,x]+F[45,x]
F[45,x] = F[22,x]+F[46,x]+F[52,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[48,x]+F[50,x]
F[48,x] = F[4,x]+F[49,x]
F[49,x] = F[15,x]
F[50,x] = F[38,x]+F[51,x]
F[51,x] = F[35,x]
F[52,x] = F[4,x]*F[44,x]
F[53,x] = F[21,x]+F[54,x]
F[54,x] = F[35,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_{13}\! \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_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{7}\! \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_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{17}\! \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_{42}\! \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_{30}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \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_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{34}\! \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_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \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_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{53}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{22}\! \left(x \right)+F_{46}\! \left(x \right)+F_{52}\! \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_{50}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{15}\! \left(x \right)
F_{50}\! \left(x \right) = F_{38}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{35}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{53}\! \left(x \right) = F_{21}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{35}\! \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_13(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_7(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_4(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_17(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_42(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_30(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_1(x) + F_26(x))
Eq(F_29(x), F_15(x))
Eq(F_30(x), F_31(x) + F_34(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_2(x) + F_31(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x) + F_40(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_2(x)*F_4(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_37(x)*F_4(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_53(x))
Eq(F_44(x), F_2(x) + F_45(x))
Eq(F_45(x), F_22(x) + F_46(x) + F_52(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_50(x))
Eq(F_48(x), F_4(x) + F_49(x))
Eq(F_49(x), F_15(x))
Eq(F_50(x), F_38(x) + F_51(x))
Eq(F_51(x), F_35(x))
Eq(F_52(x), F_4(x)*F_44(x))
Eq(F_53(x), F_21(x) + F_54(x))
Eq(F_54(x), F_35(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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