0213_0321_1032_1302_3102
Counting sequence:
1, 1, 2, 6, 19, 58, 171, 493, 1401, 3940, 10988, 30429, 83764, 229405, 625509, 1699039, 4599612, 12415402, 33424745, 89777424, 240637951, 643799623, 1719517347, 4585653436, 12212254470, 32482120207, 86296792592, 229028386695, 607248482491, 1608644934463, 4257957628026, 11262054154696, 29766936741801, 78627366589642, 207566424189413, 547650093750291, 1444206133893601, 3806720259887470, 10029585632751018, 26414267657006053, 69539242333788846, 183007297194191587, 481464568726423205, 1266272972633036793, 3329402519925829090, 8751640210350136186, 22998759441125489019, 60425219829260966278, 158722137131208460815, 416838955311398171785, 1094501343517069728233, 2873338426614630082596, 7541967559496779696672, 19793131831823701388557, 51937450194040955317008, 136265830752335603580169, 357468081520622434397673, 937637578404175712965063, 2459140950788307180088604, 6448898757746105399826558, 16910025265893366971595505, 44336578286069836887921916, 116236305310998798140573331, 304709124121308042319213939, 798721438095445519835602371, 2093502529119249820679858668, 5486834009289732655436613770, 14379445357216117054154817375, 37682188212948814485440773084, 98742778171742551912892987539, 258732688685175270129649962735, 677915221416578434363315369351, 1776146974451595268659447611034, 4653321656971061721604576302796, 12190711622756216645278494731009, 31935809937972929167877471826774, 83658624831489363977287755844345, 219143388363309510718860956704639, 574026292464088617265066274597553, 1503563598738462777001848208693150, 3938213152981521255878289399257646, 10314894165196403326814025953141077, 27015883645546309666375288102347386, 70755968405936162385066240245649087, 185309251510514526639326559882866761, 485312890614964493396588437863824113, 1270977323504026421390886316986006834, 3328476859943676310270995155644237486, 8716568174133082555790584899142482483, 22826442142956026248621422015648315682, 59775614927846100142798676224934126435, 156532101683942655672176731845942513093, 409898846373369237754277032095984218521, 1073357137236245945509000774871826103444, 2810647680418836440520589745883669255732, 7359757334101892416094130762436074931597, 19271512566196260422942968704520700673756, 50461901536566825638496221865318666780997, 132131749800521752679809739031695812564589, 345976637765597152066725429709136059441647, 905904897829816711604500416854456874473068
Generating function in Maple syntax:
-(5*x^4-12*x^3+13*x^2-6*x+1)/(x^2-3*x+1)/(3*x^3-5*x^2+4*x-1)
Generating function in latex syntax:
-\frac{5 x^{4}-12 x^{3}+13 x^{2}-6 x +1}{\left(x^{2}-3 x +1\right) \left(3 x^{3}-5 x^{2}+4 x -1\right)}
Generating function in sympy syntax:
(-5*x**4 + 12*x**3 - 13*x**2 + 6*x - 1)/((x**2 - 3*x + 1)*(3*x**3 - 5*x**2 + 4*x - 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(3*x^3-5*x^2+4*x-1)*F(x)+5*x^4-12*x^3+13*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(3 x^{3}-5 x^{2}+4 x -1\right) F \! \left(x \right)+5 x^{4}-12 x^{3}+13 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
-35/2904*((197/2904*2^(1/3)*((I-299/6107*31^(1/2))*3^(1/2)-733/6107*I*31^(1/2)+249/197)*(47+9*31^(1/2)*3^(1/2))^(2/3)+1/24*2^(2/3)*((I+229/341*31^(1/2))*3^(1/2)-49/31*I*31^(1/2)-15/11)*(47+9*31^(1/2)*3^(1/2))^(1/3)+1/186*I*31^(1/2)-5/2)*(47/8712*((I-9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)+1)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)-1/36*I*3^(1/2)*(188+36*31^(1/2)*3^(1/2))^(1/3)+1/36*(188+36*31^(1/2)*3^(1/2))^(1/3)+5/9)^(-n)+(-13/1452*((I-258/403*31^(1/2))*3^(1/2)-41/403*I*31^(1/2)+210/13)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)-1/132*((I+192/31*31^(1/2))*3^(1/2)-37/31*I*31^(1/2)-12)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)-1/186*I*31^(1/2)-5/2)*(1/4356*2^(1/3)*(9*31^(1/2)*3^(1/2)-47)*(47+9*31^(1/2)*3^(1/2))^(2/3)-1/18*(188+36*31^(1/2)*3^(1/2))^(1/3)+5/9)^(-n)-57/4840*(5+5^(1/2))*(((I+7/171*31^(1/2))*3^(1/2)-7/57*I*31^(1/2)-1)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)-3872/57+11/19*2^(2/3)*((I-5/9*31^(1/2))*3^(1/2)-5/3*I*31^(1/2)+1)*(47+9*31^(1/2)*3^(1/2))^(1/3))*(3/2-1/2*5^(1/2))^(-n)+57/4840*(5^(1/2)-5)*(((I+7/171*31^(1/2))*3^(1/2)-7/57*I*31^(1/2)-1)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)-3872/57+11/19*2^(2/3)*((I-5/9*31^(1/2))*3^(1/2)-5/3*I*31^(1/2)+1)*(47+9*31^(1/2)*3^(1/2))^(1/3))*(3/2+1/2*5^(1/2))^(-n)+(-47/8712*((I+9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)-1)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)+1/36*I*3^(1/2)*(188+36*31^(1/2)*3^(1/2))^(1/3)+1/36*(188+36*31^(1/2)*3^(1/2))^(1/3)+5/9)^(-n))*(2^(1/3)*((I+43/1085*31^(1/2))*3^(1/2)-129/1085*I*31^(1/2)-1)*(47+9*31^(1/2)*3^(1/2))^(2/3)+968/35+22/35*2^(2/3)*((I-16/31*31^(1/2))*3^(1/2)-48/31*I*31^(1/2)+1)*(47+9*31^(1/2)*3^(1/2))^(1/3))
Explicit closed form in latex syntax:
-\frac{35 \left(\left(\frac{197 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{299 \sqrt{31}}{6107}\right) \sqrt{3}-\frac{733 \,\mathrm{I} \sqrt{31}}{6107}+\frac{249}{197}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{2904}+\frac{2^{\frac{2}{3}} \left(\left(\mathrm{I}+\frac{229 \sqrt{31}}{341}\right) \sqrt{3}-\frac{49 \,\mathrm{I} \sqrt{31}}{31}-\frac{15}{11}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{24}+\frac{\mathrm{I} \sqrt{31}}{186}-\frac{5}{2}\right) \left(\frac{47 \left(\left(\mathrm{I}-\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}+1\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{8712}-\frac{\mathrm{I} \sqrt{3}\, \left(188+36 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{36}+\frac{\left(188+36 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{36}+\frac{5}{9}\right)^{-n}+\left(-\frac{13 \left(\left(\mathrm{I}-\frac{258 \sqrt{31}}{403}\right) \sqrt{3}-\frac{41 \,\mathrm{I} \sqrt{31}}{403}+\frac{210}{13}\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{1452}-\frac{\left(\left(\mathrm{I}+\frac{192 \sqrt{31}}{31}\right) \sqrt{3}-\frac{37 \,\mathrm{I} \sqrt{31}}{31}-12\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{132}-\frac{\mathrm{I} \sqrt{31}}{186}-\frac{5}{2}\right) \left(\frac{2^{\frac{1}{3}} \left(9 \sqrt{31}\, \sqrt{3}-47\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{4356}-\frac{\left(188+36 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{18}+\frac{5}{9}\right)^{-n}-\frac{57 \left(5+\sqrt{5}\right) \left(\left(\left(\mathrm{I}+\frac{7 \sqrt{31}}{171}\right) \sqrt{3}-\frac{7 \,\mathrm{I} \sqrt{31}}{57}-1\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{3872}{57}+\frac{11 \,2^{\frac{2}{3}} \left(\left(\mathrm{I}-\frac{5 \sqrt{31}}{9}\right) \sqrt{3}-\frac{5 \,\mathrm{I} \sqrt{31}}{3}+1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{19}\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{4840}+\frac{57 \left(\sqrt{5}-5\right) \left(\left(\left(\mathrm{I}+\frac{7 \sqrt{31}}{171}\right) \sqrt{3}-\frac{7 \,\mathrm{I} \sqrt{31}}{57}-1\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{3872}{57}+\frac{11 \,2^{\frac{2}{3}} \left(\left(\mathrm{I}-\frac{5 \sqrt{31}}{9}\right) \sqrt{3}-\frac{5 \,\mathrm{I} \sqrt{31}}{3}+1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{19}\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{4840}+\left(-\frac{47 \left(\left(\mathrm{I}+\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}-1\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{8712}+\frac{\mathrm{I} \sqrt{3}\, \left(188+36 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{36}+\frac{\left(188+36 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{36}+\frac{5}{9}\right)^{-n}\right) \left(2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{43 \sqrt{31}}{1085}\right) \sqrt{3}-\frac{129 \,\mathrm{I} \sqrt{31}}{1085}-1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}+\frac{968}{35}+\frac{22 \,2^{\frac{2}{3}} \left(\left(\mathrm{I}-\frac{16 \sqrt{31}}{31}\right) \sqrt{3}-\frac{48 \,\mathrm{I} \sqrt{31}}{31}+1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{35}\right)}{2904}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(n+5) = 3*a(n)-14*a(n+1)+22*a(n+2)-18*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) = 19
a \! \left(n +5\right) = 3 a \! \left(n \right)-14 a \! \left(n +1\right)+22 a \! \left(n +2\right)-18 a \! \left(n +3\right)+7 a \! \left(n +4\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20495/
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[17,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[14,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[1,x]+F[11,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[10,x]
F[17,x] = F[18,x]+F[32,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[6,x]
F[21,x] = F[18,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[21,x]+F[25,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[18,x]+F[26,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[25,x]
F[32,x] = F[33,x]+F[34,x]+F[61,x]
F[33,x] = 0
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[47,x]
F[36,x] = F[11,x]+F[37,x]
F[37,x] = F[33,x]+F[38,x]+F[42,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[36,x]+F[40,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[11,x]+F[41,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[40,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[33,x]+F[34,x]+F[49,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[18,x]+F[48,x]
F[51,x] = 2*F[33,x]+F[52,x]+F[56,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[47,x]+F[54,x]
F[54,x] = F[55,x]+F[58,x]
F[55,x] = F[56,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[26,x]+F[55,x]
F[58,x] = F[59,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[54,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[17,x]+F[63,x]
F[63,x] = F[26,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{17}\! \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_{14}\! \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_{1}\! \left(x \right)+F_{11}\! \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_{10}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{32}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{6}\! \left(x \right)
F_{21}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \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_{18}\! \left(x \right)+F_{26}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{25}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)+F_{61}\! \left(x \right)
F_{33}\! \left(x \right) = 0
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{47}\! \left(x \right)
F_{36}\! \left(x \right) = F_{11}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)+F_{42}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{11}\! \left(x \right)+F_{41}\! \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_{40}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{18}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{52}\! \left(x \right)+F_{56}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{47}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{58}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{26}\! \left(x \right)+F_{55}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{54}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{17}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{26}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_17(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_14(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_1(x) + F_11(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_10(x))
Eq(F_17(x), F_18(x) + F_32(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_6(x))
Eq(F_21(x), F_18(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_21(x) + F_25(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_18(x) + F_26(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_25(x))
Eq(F_32(x), F_33(x) + F_34(x) + F_61(x))
Eq(F_33(x), 0)
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_47(x))
Eq(F_36(x), F_11(x) + F_37(x))
Eq(F_37(x), F_33(x) + F_38(x) + F_42(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_36(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_11(x) + F_41(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_40(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_33(x) + F_34(x) + F_49(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_18(x) + F_48(x))
Eq(F_51(x), 2*F_33(x) + F_52(x) + F_56(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_47(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_58(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_26(x) + F_55(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_54(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_17(x) + F_63(x))
Eq(F_63(x), F_26(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(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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