0132_0213_1032_1230_1302
Counting sequence:
1, 1, 2, 6, 19, 55, 151, 404, 1067, 2798, 7308, 19047, 49593, 129083, 336000, 874829, 2278598, 5937352, 15477555, 40363721, 105305051, 274829848, 717500095, 1873743492, 4894583228, 12788712333, 33422004133, 87362034403, 228396014768, 597202588615, 1561762147386, 4084713407898, 10684541889847, 27950693961401, 73125185356827, 191326395917978, 500625090441999, 1310016710238214, 3428187891076568, 8971670915332837, 23480138815307625, 61453202309552681, 160843334403631992, 420992800048156441, 1101939787175007954, 2884372593444874290, 7550122644806278831, 19763541952545121959, 51734799774814427887, 135427598484088722288, 354517172497951275003, 928052263802925500322, 2429473040751882853348, 6359979611194517198603, 16649565552142923763885, 43586624239484758484799, 114105441983116246401588, 298718391530982278508777, 782023439633653662318230, 2047290803615737059434936, 5359706875723853017488051, 14031499491618283998156753, 36734023670542369766891135, 96168786302626395719437752, 251768185110426153049983263, 659126121154091290900698268, 1725587749764596195683393288, 4517584988000140490020875833, 11827046003117075910981324213, 30963271239686666905657504955, 81062112653047550159081558756, 212221543882979861050851123623, 555598978830589848940896844702, 1454567162722939768670616049746, 3808083377174807570566713691187, 9969638491917614317543641597573, 26100728702367422364605788930239, 68332307248157127475334921819614, 178895634256558738958074437467043, 468353296502727859450363802016502, 1226161235399314059620244231823600, 3210123389390319207829895919476661, 8404192612542788540836256842043257, 22002416508308960760022819714807701, 57602968712749651662916481325056864, 150806284590665984210280259681233825, 394815408400766069287949009600834786, 1033638832515099106375828206759265214, 2706098513132622351026822847614701307, 7084650718381625252622612889682015703, 18547839720436110004102228164530411223, 48558836079188651039459267487672576172, 127128593280566826062796534260444234203, 332826768858722740028644076923093797798, 871351306693622113039250062968246065420, 2281226205987220913317222594842209630719, 5972325113863442044429171951241201689553, 15635744027257175563056037027837886714627, 40934895092444570153151297914197123344680, 107168913642973252152916318883027334100101, 280571781657746437401310710027103876147526
Generating function in Maple syntax:
(x^7-x^6-x^5-2*x^4-7*x^3+12*x^2-6*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^3-2*x^2+3*x-1)
Generating function in latex syntax:
\frac{x^{7}-x^{6}-x^{5}-2 x^{4}-7 x^{3}+12 x^{2}-6 x +1}{\left(x^{2}-3 x +1\right) \left(x^{2}+x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right)}
Generating function in sympy syntax:
(x**7 - x**6 - x**5 - 2*x**4 - 7*x**3 + 12*x**2 - 6*x + 1)/((x**2 - 3*x + 1)*(x**2 + x - 1)*(x**3 - 2*x**2 + 3*x - 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(x^2+x-1)*(x^3-2*x^2+3*x-1)*F(x)-x^7+x^6+x^5+2*x^4+7*x^3-12*x^2+6*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(x^{2}+x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right) F \! \left(x \right)-x^{7}+x^{6}+x^{5}+2 x^{4}+7 x^{3}-12 x^{2}+6 x -1 = 0
Explicit closed form in Maple syntax:
342/575*Sum(_alpha^(-n+5),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))-994/575*Sum(_alpha^(-n+4),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))+18/115*Sum(_alpha^(-n+3),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))+1651/575*Sum(_alpha^(-n+2),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))-729/115*Sum(_alpha^(-n+1),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))+914/575*Sum(_alpha^(-n),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))+194/575*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^7-4*_Z^6+4*_Z^5+3*_Z^4-16*_Z^3+17*_Z^2-7*_Z+1))+piecewise(n = 0,1,0)
Explicit closed form in latex syntax:
\frac{342 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +5}\right)}{575}-\frac{994 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +4}\right)}{575}+\frac{18 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +3}\right)}{115}+\frac{1651 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +2}\right)}{575}-\frac{729 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +1}\right)}{115}+\frac{914 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{575}+\frac{194 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{7}-4 \textit{\_Z}^{6}+4 \textit{\_Z}^{5}+3 \textit{\_Z}^{4}-16 \textit{\_Z}^{3}+17 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{575}+\left(\left\{\begin{array}{cc}1 & 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) = 55
a(6) = 151
a(7) = 404
a(n+7) = -a(n)+4*a(n+1)-4*a(n+2)-3*a(n+3)+16*a(n+4)-17*a(n+5)+7*a(n+6), n >= 8
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) = 55
a \! \left(6\right) = 151
a \! \left(7\right) = 404
a \! \left(n +7\right) = -a \! \left(n \right)+4 a \! \left(n +1\right)-4 a \! \left(n +2\right)-3 a \! \left(n +3\right)+16 a \! \left(n +4\right)-17 a \! \left(n +5\right)+7 a \! \left(n +6\right), \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18336/
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[23,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[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[14,x]+F[21,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[1,x]+F[12,x]
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[12,x]*F[14,x]
F[21,x] = F[22,x]
F[22,x] = F[12,x]*F[13,x]
F[23,x] = F[24,x]+F[40,x]
F[24,x] = F[25,x]
F[25,x] = F[12,x]*F[26,x]
F[26,x] = F[27,x]+F[30,x]
F[27,x] = F[1,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[12,x]*F[27,x]
F[30,x] = F[24,x]+F[31,x]
F[31,x] = F[32,x]+F[33,x]+F[39,x]
F[32,x] = 0
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[12,x]
F[36,x] = F[37,x]
F[37,x] = F[32,x]+F[33,x]+F[38,x]
F[38,x] = F[12,x]*F[24,x]
F[39,x] = F[12,x]*F[30,x]
F[40,x] = F[32,x]+F[41,x]+F[61,x]
F[41,x] = F[12,x]*F[42,x]
F[42,x] = F[43,x]+F[47,x]
F[43,x] = F[10,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[12,x]*F[46,x]
F[46,x] = F[10,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[32,x]+F[41,x]+F[49,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[24,x]+F[48,x]
F[51,x] = 2*F[32,x]+F[52,x]+F[59,x]
F[52,x] = F[12,x]*F[53,x]
F[53,x] = F[54,x]+F[56,x]
F[54,x] = F[55,x]
F[55,x] = F[10,x]*F[12,x]
F[56,x] = F[57,x]
F[57,x] = 2*F[32,x]+F[52,x]+F[58,x]
F[58,x] = F[12,x]*F[48,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[48,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[50,x]+F[63,x]
F[63,x] = F[64,x]+F[71,x]
F[64,x] = F[32,x]+F[33,x]+F[65,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[24,x]+F[37,x]
F[68,x] = F[64,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[12,x]*F[64,x]
F[71,x] = F[72,x]
F[72,x] = F[12,x]*F[63,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_{23}\! \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_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \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_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{40}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{30}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{30}\! \left(x \right) = F_{24}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{39}\! \left(x \right)
F_{32}\! \left(x \right) = 0
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{30}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right)+F_{41}\! \left(x \right)+F_{61}\! \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_{47}\! \left(x \right)
F_{43}\! \left(x \right) = F_{10}\! \left(x \right)+F_{44}\! \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_{10}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{32}\! \left(x \right)+F_{41}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{24}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = 2 F_{32}\! \left(x \right)+F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{56}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = 2 F_{32}\! \left(x \right)+F_{52}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{48}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{50}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{71}\! \left(x \right)
F_{64}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{24}\! \left(x \right)+F_{37}\! \left(x \right)
F_{68}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \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_23(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_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_21(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_1(x) + F_12(x))
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_12(x)*F_14(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_12(x)*F_13(x))
Eq(F_23(x), F_24(x) + F_40(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_12(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_30(x))
Eq(F_27(x), F_1(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_12(x)*F_27(x))
Eq(F_30(x), F_24(x) + F_31(x))
Eq(F_31(x), F_32(x) + F_33(x) + F_39(x))
Eq(F_32(x), 0)
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_12(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_32(x) + F_33(x) + F_38(x))
Eq(F_38(x), F_12(x)*F_24(x))
Eq(F_39(x), F_12(x)*F_30(x))
Eq(F_40(x), F_32(x) + F_41(x) + F_61(x))
Eq(F_41(x), F_12(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_47(x))
Eq(F_43(x), F_10(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_12(x)*F_46(x))
Eq(F_46(x), F_10(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_32(x) + F_41(x) + F_49(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_24(x) + F_48(x))
Eq(F_51(x), 2*F_32(x) + F_52(x) + F_59(x))
Eq(F_52(x), F_12(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_56(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_10(x)*F_12(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), 2*F_32(x) + F_52(x) + F_58(x))
Eq(F_58(x), F_12(x)*F_48(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_48(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_50(x) + F_63(x))
Eq(F_63(x), F_64(x) + F_71(x))
Eq(F_64(x), F_32(x) + F_33(x) + F_65(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_24(x) + F_37(x))
Eq(F_68(x), F_64(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_12(x)*F_64(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_12(x)*F_63(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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