0231_2031_2103
Counting sequence:
1, 1, 2, 6, 21, 75, 263, 904, 3066, 10324, 34652, 116179, 389443, 1305592, 4377595, 14679474, 49227937, 165091510, 553658600, 1856778673, 6226985606, 20883103968, 70034469898, 234870470627, 787671056978, 2641565114181, 8858858116609, 29709420076299, 99634697678779, 334138903811043, 1120581585809358, 3758027211678313, 12603070327912725, 42266160612427676, 141745486325832578, 475363330876047771, 1594197474533167977, 5346364396745269129, 17929781422253487802, 60130031922895361188, 201654479432516951936, 676276525636276587866, 2267987998154235288049, 7606015239010236116955, 25507836841797908201076, 85544101596166159441053, 286884119703339556345792, 962106055265997114011375, 3226557337982623088849538, 10820711706685157490091352, 36288771459552247237422577, 121699475019746628687962906, 408136225735558668093265478, 1368741966476344959889305404, 4590267789675176104851090323, 15394105607189750287939901232, 51626288117295303463153374965, 173135984173395683183283057275, 580635759587915240818223921839, 1947243300818342458037788010267, 6530352996641083035699670708033, 21900452934061759319163501348834, 73446234677322056869386007194485, 246312229455603502337070308025781, 826042541812191978533013151207270, 2770249298590090101451400112779538, 9290418819717037478399304214384673, 31156720043095283778225458156185443, 104488422177869230793521215728365235, 350416550719053027204376409664078732, 1175170956345880202701488717689766930, 3941100309916956161750225039770690868, 13217031589279694844228619399679844240, 44325165637739950848836193388152783775, 148650647881227946109764830024220280191, 498520756720978152604703585204476764336, 1671859143730250191898124356248354476243, 5606813675842325817885051751380951741242, 18803234538928778537892395120343828673049, 63059279221160795193243964214993884612442, 211478120302107422739785797075435231618252, 709221480468570424042119062135921191318681, 2378473516028401971249504526447913475774338, 7976543889661853411531836621797954883517280, 26750456540690816838254165906104683803478150, 89711400706117559808673972610353983060878859, 300859740633262150443265634438061971531232818, 1008975256449666667534503541174162626437449201, 3383739765197152327305893185037521732386176193, 11347844979732319549211009872820629767206113795, 38056586682141929802603763236785386378094136035, 127628090838578413650846992996441313373575277615, 428018668808887441173856404906420471496870894870, 1435420522592004708082292515742871041294954372893, 4813883661692096713266719267942215839462777556081, 16144032737152663930844152208543967853931961853776, 54141273727135454461289955346813282462861172248654, 181570340479475489728077855500111732015947040520463, 608921554154520980725025744998895103778820180264417, 2042103672520625169198433521541139807374081718058469, 6848480532295282809870812849589624054279579447395726
Generating function in Maple syntax:
-(x-1)*(2*x-1)*(x^2-3*x+1)/(x^5-7*x^4+18*x^3-17*x^2+7*x-1)
Generating function in latex syntax:
-\frac{\left(x -1\right) \left(2 x -1\right) \left(x^{2}-3 x +1\right)}{x^{5}-7 x^{4}+18 x^{3}-17 x^{2}+7 x -1}
Generating function in sympy syntax:
(1 - x)*(2*x - 1)*(x**2 - 3*x + 1)/(x**5 - 7*x**4 + 18*x**3 - 17*x**2 + 7*x - 1)
Implicit equation for the generating function in Maple syntax:
(x^5-7*x^4+18*x^3-17*x^2+7*x-1)*F(x)+(x-1)*(2*x-1)*(x^2-3*x+1) = 0
Implicit equation for the generating function in latex syntax:
\left(x^{5}-7 x^{4}+18 x^{3}-17 x^{2}+7 x -1\right) F \! \left(x \right)+\left(x -1\right) \left(2 x -1\right) \left(x^{2}-3 x +1\right) = 0
Explicit closed form in Maple syntax:
-640/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+3)-640/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+3)-640/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+3)-640/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+3)-640/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+3)+3919/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+2)+3919/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+2)+3919/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+2)+3919/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+2)+3919/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+2)-8368/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+1)-8368/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+1)-8368/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+1)-8368/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+1)-8368/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+1)-737/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n-1)-737/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n-1)-737/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n-1)-737/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n-1)-737/3857*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n-1)+283/203*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n)+283/203*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n)+283/203*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n)+283/203*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n)+283/203*RootOf(_Z^5-7*_Z^4+18*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n)
Explicit closed form in latex syntax:
-\frac{640 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +3}}{3857}-\frac{640 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +3}}{3857}-\frac{640 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +3}}{3857}-\frac{640 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +3}}{3857}-\frac{640 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +3}}{3857}+\frac{3919 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +2}}{3857}+\frac{3919 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +2}}{3857}+\frac{3919 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +2}}{3857}+\frac{3919 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +2}}{3857}+\frac{3919 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +2}}{3857}-\frac{8368 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +1}}{3857}-\frac{8368 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +1}}{3857}-\frac{8368 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +1}}{3857}-\frac{8368 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +1}}{3857}-\frac{8368 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +1}}{3857}-\frac{737 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n -1}}{3857}-\frac{737 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n -1}}{3857}-\frac{737 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n -1}}{3857}-\frac{737 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n -1}}{3857}-\frac{737 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n -1}}{3857}+\frac{283 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n}}{203}+\frac{283 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n}}{203}+\frac{283 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n}}{203}+\frac{283 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n}}{203}+\frac{283 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-7 \textit{\_Z}^{4}+18 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n}}{203}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(n+5) = a(n)-7*a(n+1)+18*a(n+2)-17*a(n+3)+7*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) = 21
a \! \left(n +5\right) = a \! \left(n \right)-7 a \! \left(n +1\right)+18 a \! \left(n +2\right)-17 a \! \left(n +3\right)+7 a \! \left(n +4\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/14774/
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[15,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[7,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]+F[7,x]
F[15,x] = F[16,x]+F[2,x]
F[16,x] = F[17,x]+F[18,x]+F[33,x]
F[17,x] = 0
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[14,x]+F[20,x]
F[20,x] = F[21,x]+F[30,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[2,x]+F[21,x]
F[25,x] = F[21,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]
F[29,x] = F[21,x]+F[26,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[20,x]
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[15,x]+F[35,x]
F[35,x] = F[16,x]+F[36,x]
F[36,x] = 2*F[17,x]+F[31,x]+F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[11,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[39,x]
F[43,x] = F[26,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[43,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_{15}\! \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_{7}\! \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_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right)+F_{7}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{18}\! \left(x \right)+F_{33}\! \left(x \right)
F_{17}\! \left(x \right) = 0
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{30}\! \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_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{21}\! \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_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{21}\! \left(x \right)+F_{26}\! \left(x \right)
F_{30}\! \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_{20}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{16}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = 2 F_{17}\! \left(x \right)+F_{31}\! \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_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{11}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{39}\! \left(x \right)
F_{43}\! \left(x \right) = F_{26}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{43}\! \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_15(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_7(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x) + F_7(x))
Eq(F_15(x), F_16(x) + F_2(x))
Eq(F_16(x), F_17(x) + F_18(x) + F_33(x))
Eq(F_17(x), 0)
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_14(x) + F_20(x))
Eq(F_20(x), F_21(x) + F_30(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_2(x) + F_21(x))
Eq(F_25(x), F_21(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_29(x))
Eq(F_29(x), F_21(x) + F_26(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_20(x))
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_15(x) + F_35(x))
Eq(F_35(x), F_16(x) + F_36(x))
Eq(F_36(x), 2*F_17(x) + F_31(x) + F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_11(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_39(x))
Eq(F_43(x), F_26(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_43(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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