0213_0321_1032_1230_2031
Counting sequence:
1, 1, 2, 6, 19, 53, 143, 383, 1020, 2706, 7161, 18915, 49887, 131413, 345822, 909294, 2389207, 6274089, 16467823, 43206051, 113319432, 297125210, 778878797, 2041325479, 5349099199, 14014797833, 36714760026, 96172415254, 251897177467, 659727966333, 1727747352911, 4524530046887, 11848083545908, 31024662738530, 81236804919553, 212709793278027, 556945599578015, 1458243955032861, 3818044205932150, 9996457568250238, 26172583259368703, 68524059671367729, 179405699583244847, 469706501495937675, 1229743497201221760, 3219589478529545130, 8429169377648619541, 22068237225235378895, 57776244928117465471, 151262047258498120081, 396013314816958165298, 1036785435761598865190, 2714359619305664511587, 7106330093800628102725, 18604711543955909152271, 48707982928624304146767, 127519630694676646306540, 333851776942784610165554, 874037614098992339768201, 2288265286737582363313715, 5990767556667913633914975, 15684057918339791461493349, 41061451489882116550864014, 107500396444922028675438606, 281439958167188543367193767, 736819963992783405009925561, 1929021005577056749314488559, 5050245416592481572129093363, 13221720457844717229047680888, 34614927455996223716615633658, 90623087272107155853198142045, 237254390297895976969751525751, 621140206995776794911203586111, 1626166502799789649406552456345, 4257359901561873369720612963722, 11145914525576588912434751947318, 29180386594659765514585267126987, 76395251697544733141736457111949, 200005382699949243384134385077967, 523620927725744488104688884108919, 1370857469563309228628392046901028, 3588951633338208022650917096767746, 9395997766522805980159241109736337, 24599042407459217207195029744761755, 64401131090686885045032724989363487, 168604354470337007875951780819291949, 441411940273024285768288112172759334, 1155631483888968183203450421972294558, 3025482550080080501339187521886704591, 7920816251676373942993826374677226689, 20736966393139474905776257930397098927, 54290083342809118168100004441160897243, 142133284550747115008233583673368654576, 372109772328541131254154369467763313482, 974196036888161154943101827532204607013, 2550478348157971321362605547013700211615, 6677239029248919689117177304167413682943, 17481238787368406382122723649607859468577, 45766477438237565717306042646779651689570, 119818193759769990169877964785636587188806, 313688104353703422228626769984060411685555
Generating function in Maple syntax:
(2*x-1)*(x^5-3*x^4-2*x^2+3*x-1)/(x-1)/(x^2-3*x+1)/(x^3+2*x-1)
Generating function in latex syntax:
\frac{\left(2 x -1\right) \left(x^{5}-3 x^{4}-2 x^{2}+3 x -1\right)}{\left(x -1\right) \left(x^{2}-3 x +1\right) \left(x^{3}+2 x -1\right)}
Generating function in sympy syntax:
(2*x - 1)*(x**5 - 3*x**4 - 2*x**2 + 3*x - 1)/((x - 1)*(x**2 - 3*x + 1)*(x**3 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
(x-1)*(x^2-3*x+1)*(x^3+2*x-1)*F(x)-(2*x-1)*(x^5-3*x^4-2*x^2+3*x-1) = 0
Implicit equation for the generating function in latex syntax:
\left(x -1\right) \left(x^{2}-3 x +1\right) \left(x^{3}+2 x -1\right) F \! \left(x \right)-\left(2 x -1\right) \left(x^{5}-3 x^{4}-2 x^{2}+3 x -1\right) = 0
Explicit closed form in Maple syntax:
-30/59*Sum(_alpha^(-n+4),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))+127/59*Sum(_alpha^(-n+3),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))-188/59*Sum(_alpha^(-n+2),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))+613/118*Sum(_alpha^(-n+1),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))-403/59*Sum(_alpha^(-n),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))+257/118*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^6-4*_Z^5+6*_Z^4-10*_Z^3+12*_Z^2-6*_Z+1))+piecewise(n = 0,2,0)
Explicit closed form in latex syntax:
-\frac{30 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +4}\right)}{59}+\frac{127 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +3}\right)}{59}-\frac{188 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +2}\right)}{59}+\frac{613 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +1}\right)}{118}-\frac{403 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{59}+\frac{257 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{6}-4 \textit{\_Z}^{5}+6 \textit{\_Z}^{4}-10 \textit{\_Z}^{3}+12 \textit{\_Z}^{2}-6 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{118}+\left(\left\{\begin{array}{cc}2 & 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) = 53
a(6) = 143
a(n+5) = a(n)-3*a(n+1)+3*a(n+2)-7*a(n+3)+5*a(n+4)-2, n >= 7
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) = 53
a \! \left(6\right) = 143
a \! \left(n +5\right) = a \! \left(n \right)-3 a \! \left(n +1\right)+3 a \! \left(n +2\right)-7 a \! \left(n +3\right)+5 a \! \left(n +4\right)-2, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20485/
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[12,x]*F[4,x]
F[4,x] = F[17,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[5,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[1,x]+F[12,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[9,x]
F[17,x] = F[18,x]+F[40,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x]+F[24,x]
F[21,x] = F[1,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[13,x]
F[24,x] = F[18,x]+F[25,x]
F[25,x] = F[26,x]+F[27,x]+F[38,x]
F[26,x] = 0
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[32,x]
F[29,x] = F[12,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = x^2
F[32,x] = F[33,x]+F[35,x]
F[33,x] = F[26,x]+F[27,x]+F[34,x]
F[34,x] = F[12,x]*F[18,x]
F[35,x] = F[36,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[34,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = F[18,x]+F[37,x]
F[40,x] = F[26,x]+F[41,x]+F[75,x]
F[41,x] = F[12,x]*F[42,x]
F[42,x] = F[43,x]+F[53,x]
F[43,x] = F[44,x]+F[47,x]
F[44,x] = F[45,x]
F[45,x] = F[12,x]*F[46,x]
F[46,x] = F[1,x]+F[44,x]
F[47,x] = F[26,x]+F[48,x]+F[51,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[44,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[12,x]*F[52,x]
F[52,x] = F[12,x]+F[50,x]
F[53,x] = F[54,x]+F[57,x]
F[54,x] = F[26,x]+F[41,x]+F[55,x]
F[55,x] = F[12,x]*F[56,x]
F[56,x] = F[18,x]+F[54,x]
F[57,x] = F[26,x]+F[58,x]+F[71,x]+F[73,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]+F[65,x]
F[60,x] = F[61,x]+F[63,x]
F[61,x] = F[62,x]
F[62,x] = F[12,x]*F[44,x]
F[63,x] = F[64,x]
F[64,x] = F[12,x]*F[50,x]
F[65,x] = F[66,x]+F[68,x]
F[66,x] = 2*F[26,x]+F[58,x]+F[67,x]
F[67,x] = F[12,x]*F[54,x]
F[68,x] = F[69,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[12,x]*F[72,x]
F[72,x] = F[37,x]+F[70,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[54,x]+F[70,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[17,x]+F[77,x]
F[77,x] = F[78,x]+F[80,x]
F[78,x] = F[79,x]
F[79,x] = F[12,x]*F[39,x]
F[80,x] = F[81,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[77,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{17}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{5}\! \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_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{40}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{24}\! \left(x \right)
F_{21}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{24}\! \left(x \right) = F_{18}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{38}\! \left(x \right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{32}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = x^{2}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{35}\! \left(x \right)
F_{33}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{34}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{40}\! \left(x \right) = F_{26}\! \left(x \right)+F_{41}\! \left(x \right)+F_{75}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{53}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{47}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{12}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{47}\! \left(x \right) = F_{26}\! \left(x \right)+F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{44}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right)+F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{57}\! \left(x \right)
F_{54}\! \left(x \right) = F_{26}\! \left(x \right)+F_{41}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right)+F_{54}\! \left(x \right)
F_{57}\! \left(x \right) = F_{26}\! \left(x \right)+F_{58}\! \left(x \right)+F_{71}\! \left(x \right)+F_{73}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{63}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{44}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{68}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{26}\! \left(x \right)+F_{58}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{37}\! \left(x \right)+F_{70}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{54}\! \left(x \right)+F_{70}\! \left(x \right)
F_{75}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{17}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{77}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_17(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_5(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_1(x) + F_12(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_9(x))
Eq(F_17(x), F_18(x) + F_40(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_24(x))
Eq(F_21(x), F_1(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_13(x))
Eq(F_24(x), F_18(x) + F_25(x))
Eq(F_25(x), F_26(x) + F_27(x) + F_38(x))
Eq(F_26(x), 0)
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_32(x))
Eq(F_29(x), F_12(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), x**2)
Eq(F_32(x), F_33(x) + F_35(x))
Eq(F_33(x), F_26(x) + F_27(x) + F_34(x))
Eq(F_34(x), F_12(x)*F_18(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_34(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), F_18(x) + F_37(x))
Eq(F_40(x), F_26(x) + F_41(x) + F_75(x))
Eq(F_41(x), F_12(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_53(x))
Eq(F_43(x), F_44(x) + F_47(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_12(x)*F_46(x))
Eq(F_46(x), F_1(x) + F_44(x))
Eq(F_47(x), F_26(x) + F_48(x) + F_51(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_44(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_12(x)*F_52(x))
Eq(F_52(x), F_12(x) + F_50(x))
Eq(F_53(x), F_54(x) + F_57(x))
Eq(F_54(x), F_26(x) + F_41(x) + F_55(x))
Eq(F_55(x), F_12(x)*F_56(x))
Eq(F_56(x), F_18(x) + F_54(x))
Eq(F_57(x), F_26(x) + F_58(x) + F_71(x) + F_73(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_65(x))
Eq(F_60(x), F_61(x) + F_63(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_12(x)*F_44(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_12(x)*F_50(x))
Eq(F_65(x), F_66(x) + F_68(x))
Eq(F_66(x), 2*F_26(x) + F_58(x) + F_67(x))
Eq(F_67(x), F_12(x)*F_54(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_12(x)*F_72(x))
Eq(F_72(x), F_37(x) + F_70(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_54(x) + F_70(x))
Eq(F_75(x), F_12(x)*F_76(x))
Eq(F_76(x), F_17(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_80(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_12(x)*F_39(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_77(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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