0123_0213_0231_2130_3102
Counting sequence:
1, 1, 2, 6, 19, 52, 122, 262, 544, 1128, 2377, 5124, 11291, 25326, 57540, 131859, 303836, 702509, 1627685, 3776059, 8766814, 20363391, 47313595, 109951774, 255546592, 593979575, 1380686539, 3209471191, 7460739415, 17343512785, 40317808355, 93725975940, 217883948765, 506514676164, 1177497218057, 2737338349553, 6363522514822, 14793367406221, 34390362127088, 79947820036540, 185856015826758, 432062628078189, 1004423443754882, 2335000720647028, 5428217303392263, 12619072943268637, 29335783375221412, 68197419004745582, 158539759100887524, 368560216024493188, 856798538126428082, 1991814924037320174, 4630407883739770691, 10764392295733472246, 25024175970076809945, 58174151083284316224, 135238493412532553666, 314391353728986734249, 730871224940160148050, 1699069459957901254799, 3949857282400212763259, 9182304150085700318961, 21346267341953123747080, 49624051002487434935849, 115361922464579556386537, 268183932716053973488060, 623452004197765091970654, 1449350069587378785262661, 3369330133020546894769545, 7832742263984146855287445, 18208916595336110960720385, 42330595390797470115198015, 98406695245278604727599965, 228767811548888138410316834, 531820639545790098836500387, 1236332990783069200859420918, 2874125504803597542704302527, 6681531172385722901062471411, 15532675498325403393859097128, 36109089654996001073209671655, 83943449140702919059247438478, 195144843610409797302509505734, 453656722204767193465845175392, 1054623928534100182332693545203, 2451703184803038873453431549808, 5699518419545461642726214401422, 13249772817564048473254467404177, 30801984798403680310979860721527, 71605927179627466042022311627654, 166463584759637565693442586843048, 386980884718058985436209354244862, 899621411814525310808792463319074, 2091366050767089087221374887611716, 4861836213390265205301749972809316, 11302397950451125892064267108630525, 26274887475339909072422651652812664, 61081702738507696497846120601490471, 141997731215294325819774250880394114, 330104675644207377974475038251937440, 767400267240540991799161534030873839, 1783989181648502242724169452064958904
Generating function in Maple syntax:
(x^13-2*x^12+6*x^10-5*x^9-5*x^8+16*x^7-5*x^6-7*x^5+19*x^4-28*x^3+20*x^2-7*x+1)/(x^2+x-1)/(x^3-2*x^2+3*x-1)/(-1+x)^4
Generating function in latex syntax:
\frac{x^{13}-2 x^{12}+6 x^{10}-5 x^{9}-5 x^{8}+16 x^{7}-5 x^{6}-7 x^{5}+19 x^{4}-28 x^{3}+20 x^{2}-7 x +1}{\left(x^{2}+x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right) \left(-1+x \right)^{4}}
Generating function in sympy syntax:
(x**13 - 2*x**12 + 6*x**10 - 5*x**9 - 5*x**8 + 16*x**7 - 5*x**6 - 7*x**5 + 19*x**4 - 28*x**3 + 20*x**2 - 7*x + 1)/((x - 1)**4*(x**2 + x - 1)*(x**3 - 2*x**2 + 3*x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^2+x-1)*(x^3-2*x^2+3*x-1)*(-1+x)^4*F(x)+x^13-2*x^12+6*x^10-5*x^9-5*x^8+16*x^7-5*x^6-7*x^5+19*x^4-28*x^3+20*x^2-7*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}+x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right) \left(-1+x \right)^{4} F \! \left(x \right)+x^{13}-2 x^{12}+6 x^{10}-5 x^{9}-5 x^{8}+16 x^{7}-5 x^{6}-7 x^{5}+19 x^{4}-28 x^{3}+20 x^{2}-7 x +1 = 0
Explicit closed form in Maple syntax:
-14+2/3*n^3-4*n^2+25/3*n+82/115*Sum(_alpha^(3-n),_alpha = RootOf(_Z^5-_Z^4+4*_Z^2-4*_Z+1))-39/115*Sum(_alpha^(2-n),_alpha = RootOf(_Z^5-_Z^4+4*_Z^2-4*_Z+1))-14/115*Sum(_alpha^(1-n),_alpha = RootOf(_Z^5-_Z^4+4*_Z^2-4*_Z+1))+333/115*Sum(_alpha^(-n),_alpha = RootOf(_Z^5-_Z^4+4*_Z^2-4*_Z+1))-24/23*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^5-_Z^4+4*_Z^2-4*_Z+1))+piecewise(n = 0,13,n = 1,7,n = 2,5,n = 3,3,n = 4,1,0)
Explicit closed form in latex syntax:
-14+\frac{2 n^{3}}{3}-4 n^{2}+\frac{25 n}{3}+\frac{82 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-\textit{\_Z}^{4}+4 \textit{\_Z}^{2}-4 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{3-n}\right)}{115}-\frac{39 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-\textit{\_Z}^{4}+4 \textit{\_Z}^{2}-4 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{2-n}\right)}{115}-\frac{14 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-\textit{\_Z}^{4}+4 \textit{\_Z}^{2}-4 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{1-n}\right)}{115}+\frac{333 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-\textit{\_Z}^{4}+4 \textit{\_Z}^{2}-4 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{115}-\frac{24 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-\textit{\_Z}^{4}+4 \textit{\_Z}^{2}-4 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{23}+\left(\left\{\begin{array}{cc}13 & n =0 \\ 7 & n =1 \\ 5 & n =2 \\ 3 & n =3 \\ 1 & n =4 \\ 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) = 52
a(6) = 122
a(7) = 262
a(8) = 544
a(9) = 1128
a(10) = 2377
a(11) = 5124
a(12) = 11291
a(13) = 25326
a(n+1) = -2/3*n^3+4*n^2+4*a(n+3)-4*a(n+4)+a(n+5)+a(n)-1/3*n+14, n >= 14
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) = 52
a \! \left(6\right) = 122
a \! \left(7\right) = 262
a \! \left(8\right) = 544
a \! \left(9\right) = 1128
a \! \left(10\right) = 2377
a \! \left(11\right) = 5124
a \! \left(12\right) = 11291
a \! \left(13\right) = 25326
a \! \left(n +1\right) = -\frac{2 n^{3}}{3}+4 n^{2}+4 a \! \left(n +3\right)-4 a \! \left(n +4\right)+a \! \left(n +5\right)+a \! \left(n \right)-\frac{n}{3}+14, \quad n \geq 14
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/16790/
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[14,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[7,x]
F[14,x] = F[15,x]+F[26,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[4,x]
F[17,x] = F[18,x]+F[6,x]
F[18,x] = F[15,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[25,x]
F[22,x] = F[15,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[19,x]
F[26,x] = F[27,x]+F[28,x]+F[63,x]
F[27,x] = 0
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[30,x]+F[41,x]
F[30,x] = F[31,x]+F[7,x]
F[31,x] = F[27,x]+F[32,x]+F[38,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]
F[34,x] = F[11,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]*F[4,x]
F[37,x] = F[11,x]+F[35,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[13,x]+F[40,x]
F[40,x] = F[31,x]
F[41,x] = F[42,x]+F[60,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[45,x]+F[49,x]
F[45,x] = F[46,x]+F[7,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[11,x]
F[49,x] = F[42,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[56,x]+F[58,x]
F[56,x] = F[11,x]+F[57,x]
F[57,x] = F[47,x]
F[58,x] = F[53,x]+F[59,x]
F[59,x] = F[51,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[53,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = F[65,x]+F[80,x]
F[65,x] = F[15,x]+F[66,x]
F[66,x] = F[27,x]+F[67,x]+F[75,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[11,x]+F[70,x]
F[70,x] = F[27,x]+F[32,x]+F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[7,x]+F[70,x]
F[73,x] = F[53,x]+F[74,x]
F[74,x] = F[61,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[15,x]+F[77,x]
F[77,x] = F[27,x]+F[75,x]+F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[69,x]
F[80,x] = F[81,x]
F[81,x] = F[27,x]+F[82,x]+F[84,x]
F[82,x] = F[4,x]*F[83,x]
F[83,x] = F[30,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[22,x]+F[86,x]
F[86,x] = F[81,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_{14}\! \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_{7}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{26}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
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_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{19}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)+F_{63}\! \left(x \right)
F_{27}\! \left(x \right) = 0
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{41}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{7}\! \left(x \right)
F_{31}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{38}\! \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_{34}\! \left(x \right) = F_{11}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{11}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{13}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{31}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{60}\! \left(x \right)
F_{42}\! \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_{45}\! \left(x \right)+F_{49}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{7}\! \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_{11}\! \left(x \right)
F_{49}\! \left(x \right) = F_{42}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{58}\! \left(x \right)
F_{56}\! \left(x \right) = F_{11}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{47}\! \left(x \right)
F_{58}\! \left(x \right) = F_{53}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{51}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{53}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{80}\! \left(x \right)
F_{65}\! \left(x \right) = F_{15}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{27}\! \left(x \right)+F_{67}\! \left(x \right)+F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{11}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{7}\! \left(x \right)+F_{70}\! \left(x \right)
F_{73}\! \left(x \right) = F_{53}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{61}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{15}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{27}\! \left(x \right)+F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{69}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{27}\! \left(x \right)+F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{30}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{22}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{81}\! \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_14(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_7(x))
Eq(F_14(x), F_15(x) + F_26(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_6(x))
Eq(F_18(x), F_15(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_25(x))
Eq(F_22(x), F_15(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_19(x))
Eq(F_26(x), F_27(x) + F_28(x) + F_63(x))
Eq(F_27(x), 0)
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_30(x) + F_41(x))
Eq(F_30(x), F_31(x) + F_7(x))
Eq(F_31(x), F_27(x) + F_32(x) + F_38(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_11(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x)*F_4(x))
Eq(F_37(x), F_11(x) + F_35(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_13(x) + F_40(x))
Eq(F_40(x), F_31(x))
Eq(F_41(x), F_42(x) + F_60(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_49(x))
Eq(F_45(x), F_46(x) + F_7(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_11(x))
Eq(F_49(x), F_42(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_58(x))
Eq(F_56(x), F_11(x) + F_57(x))
Eq(F_57(x), F_47(x))
Eq(F_58(x), F_53(x) + F_59(x))
Eq(F_59(x), F_51(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_53(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_80(x))
Eq(F_65(x), F_15(x) + F_66(x))
Eq(F_66(x), F_27(x) + F_67(x) + F_75(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_11(x) + F_70(x))
Eq(F_70(x), F_27(x) + F_32(x) + F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_7(x) + F_70(x))
Eq(F_73(x), F_53(x) + F_74(x))
Eq(F_74(x), F_61(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_15(x) + F_77(x))
Eq(F_77(x), F_27(x) + F_75(x) + F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_69(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_27(x) + F_82(x) + F_84(x))
Eq(F_82(x), F_4(x)*F_83(x))
Eq(F_83(x), F_30(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_22(x) + F_86(x))
Eq(F_86(x), F_81(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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