0213_0231_2103_3021
Counting sequence:
1, 1, 2, 6, 20, 63, 182, 491, 1268, 3196, 7959, 19712, 48704, 120208, 296536, 731318, 1803333, 4446483, 10963371, 27031236, 66647725, 164325040, 405155471, 998940109, 2462958474, 6072600061, 14972428523, 36915589557, 91018016171, 224411402871, 553302299732, 1364206233548, 3363547644638, 8293066310533, 20447145720144, 50413894262417, 124299047381174, 306468155373706, 755619067376905, 1863032634783350, 4593439668370770, 11325452701697862, 27923710369288506, 68847896973777924, 169749394153763695, 418529222854031665, 1031913611568642989, 2544256514465705794, 6273045668581704351, 15466640936704218574, 38134104947305471145, 94022352111445906035, 231818806519368925460, 571565780362162586475, 1409236145186143438133, 3474572098491867598019, 8566805009123240962373, 21122067979592056175389, 52077963168227622685398, 128401927802319932753474, 316584099306917786114840, 780560647720754348750011, 1924527877755388262688154, 4745060570338534665349031, 11699284835739460394207400, 28845420124531333038150984, 71120438030443634177616171, 175352506006336252702334172, 432344094246720839035711060, 1065975161046532995164024236, 2628237690971536543584546572, 6480107241393643715625200770, 15977165993856491130070145481, 39392840841372355572908220415, 97125855120387897788157759263, 239470714256259286678300374192, 590432103947214724491137364545, 1455752409868726157937520867932, 3589261262507608869329297774579, 8849579312528448861102998855369, 21819268167181929571578069155534, 53796959893608300588785175672265, 132640236676108901080559353480815, 327033951737939890093045743031937, 806325503252039956735741731743951, 1988052964346787079719416272262131, 4901686196340768205478093659428232, 12085456473385257293522518471637864, 29797553804877549385857854406200514, 73467991441606215692253106244901345, 181140566162192887720290708363520404, 446614968855373120577470865448180525, 1101161018935346690785189238709828298, 2714990929951099823414274752688976054, 6694003531693785201463565413551308669, 16504542533825681761138455606889843762, 40693125266687100507478819617869764422, 100331798992701348828613696677683769538, 247375197238846938060476055442055792078, 609921169791942309621272197233413618736, 1503804089951638594668549601756426828115
Generating function in Maple syntax:
-(5*x^5-15*x^4+19*x^3-15*x^2+6*x-1)/(3*x^3-5*x^2+4*x-1)/(x-1)^3
Generating function in latex syntax:
-\frac{5 x^{5}-15 x^{4}+19 x^{3}-15 x^{2}+6 x -1}{\left(3 x^{3}-5 x^{2}+4 x -1\right) \left(x -1\right)^{3}}
Generating function in sympy syntax:
(-5*x**5 + 15*x**4 - 19*x**3 + 15*x**2 - 6*x + 1)/((x - 1)**3*(3*x**3 - 5*x**2 + 4*x - 1))
Implicit equation for the generating function in Maple syntax:
(3*x^3-5*x^2+4*x-1)*(x-1)^3*F(x)+5*x^5-15*x^4+19*x^3-15*x^2+6*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(3 x^{3}-5 x^{2}+4 x -1\right) \left(x -1\right)^{3} F \! \left(x \right)+5 x^{5}-15 x^{4}+19 x^{3}-15 x^{2}+6 x -1 = 0
Explicit closed form in Maple syntax:
1/90024*(-4092*((-19/62*I+19/186*3^(1/2))*31^(1/2)+I*3^(1/2)-1)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)-651*((71/217*I+71/651*3^(1/2))*31^(1/2)+I*3^(1/2)+1)*(47+9*31^(1/2)*3^(1/2))^(2/3)*2^(1/3))*(47/8712*2^(1/3)*((I-9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)+1)*(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)+1/90024*(4092*((-19/62*I-19/186*3^(1/2))*31^(1/2)+I*3^(1/2)+1)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)+651*(47+9*31^(1/2)*3^(1/2))^(2/3)*((71/217*I-71/651*3^(1/2))*31^(1/2)+I*3^(1/2)-1)*2^(1/3))*(-47/8712*2^(1/3)*((I+9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)-1)*(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)+1/90024*((836*2^(2/3)*31^(1/2)*3^(1/2)-8184*2^(2/3))*(47+9*31^(1/2)*3^(1/2))^(1/3)+142*(47+9*31^(1/2)*3^(1/2))^(2/3)*2^(1/3)*(31^(1/2)*3^(1/2)+651/71))*(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)-1/2*n^2-5/2*n+1
Explicit closed form in latex syntax:
\frac{\left(-4092 \left(\left(-\frac{19 \,\mathrm{I}}{62}+\frac{19 \sqrt{3}}{186}\right) \sqrt{31}+\mathrm{I} \sqrt{3}-1\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}-651 \left(\left(\frac{71 \,\mathrm{I}}{217}+\frac{71 \sqrt{3}}{651}\right) \sqrt{31}+\mathrm{I} \sqrt{3}+1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}} 2^{\frac{1}{3}}\right) \left(\frac{47 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}+1\right) \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}}{90024}+\frac{\left(4092 \left(\left(-\frac{19 \,\mathrm{I}}{62}-\frac{19 \sqrt{3}}{186}\right) \sqrt{31}+\mathrm{I} \sqrt{3}+1\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}+651 \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}} \left(\left(\frac{71 \,\mathrm{I}}{217}-\frac{71 \sqrt{3}}{651}\right) \sqrt{31}+\mathrm{I} \sqrt{3}-1\right) 2^{\frac{1}{3}}\right) \left(-\frac{47 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}-1\right) \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}}{90024}+\frac{\left(\left(836 \,2^{\frac{2}{3}} \sqrt{31}\, \sqrt{3}-8184 \,2^{\frac{2}{3}}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}+142 \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}} 2^{\frac{1}{3}} \left(\sqrt{31}\, \sqrt{3}+\frac{651}{71}\right)\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}}{90024}-\frac{n^{2}}{2}-\frac{5 n}{2}+1
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
a(5) = 63
a(n+3) = 3*a(n)-5*a(n+1)+4*a(n+2)+1/2*n*(n+5), n >= 6
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) = 20
a \! \left(5\right) = 63
a \! \left(n +3\right) = 3 a \! \left(n \right)-5 a \! \left(n +1\right)+4 a \! \left(n +2\right)+\frac{n \left(n +5\right)}{2}, \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15719/
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[11,x] = F[12,x]*F[4,x]
F[12,x] = F[13,x]+F[16,x]
F[13,x] = F[1,x]+F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[4,x]
F[16,x] = F[11,x]
F[17,x] = F[18,x]+F[36,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[13,x]+F[21,x]
F[21,x] = F[18,x]+F[22,x]
F[22,x] = F[23,x]+F[24,x]+F[35,x]
F[23,x] = 0
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[14,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[4,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[18,x]+F[30,x]
F[33,x] = F[34,x]
F[34,x] = F[29,x]*F[4,x]
F[35,x] = F[21,x]*F[4,x]
F[36,x] = F[23,x]+F[37,x]+F[71,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[51,x]
F[39,x] = F[40,x]+F[7,x]
F[40,x] = F[23,x]+F[41,x]+F[42,x]
F[41,x] = F[39,x]*F[4,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[14,x]
F[45,x] = F[46,x]
F[46,x] = F[23,x]+F[28,x]+F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[49,x]+F[50,x]
F[49,x] = F[14,x]
F[50,x] = F[46,x]
F[51,x] = F[52,x]+F[60,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[18,x]+F[52,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]
F[58,x] = F[32,x]+F[59,x]
F[59,x] = F[57,x]
F[60,x] = 2*F[23,x]+F[61,x]+F[62,x]
F[61,x] = F[4,x]*F[51,x]
F[62,x] = F[4,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[22,x]
F[65,x] = F[66,x]
F[66,x] = 2*F[23,x]+F[34,x]+F[67,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[22,x]
F[70,x] = F[66,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[17,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[23,x]+F[24,x]+F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[21,x]+F[77,x]
F[77,x] = F[74,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_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{36}\! \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_{13}\! \left(x \right)+F_{21}\! \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_{24}\! \left(x \right)+F_{35}\! \left(x \right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \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_{18}\! \left(x \right)+F_{30}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{23}\! \left(x \right)+F_{37}\! \left(x \right)+F_{71}\! \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_{51}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{7}\! \left(x \right)
F_{40}\! \left(x \right) = F_{23}\! \left(x \right)+F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{14}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \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_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{14}\! \left(x \right)
F_{50}\! \left(x \right) = F_{46}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{60}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{18}\! \left(x \right)+F_{52}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{32}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{57}\! \left(x \right)
F_{60}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{62}\! \left(x \right) = F_{4}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{22}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{34}\! \left(x \right)+F_{67}\! \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_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{22}\! \left(x \right)
F_{70}\! \left(x \right) = F_{66}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{17}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{21}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{74}\! \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))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_13(x) + F_16(x))
Eq(F_13(x), F_1(x) + F_14(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_4(x))
Eq(F_16(x), F_11(x))
Eq(F_17(x), F_18(x) + F_36(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_13(x) + F_21(x))
Eq(F_21(x), F_18(x) + F_22(x))
Eq(F_22(x), F_23(x) + F_24(x) + F_35(x))
Eq(F_23(x), 0)
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_14(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_4(x))
Eq(F_29(x), F_30(x) + F_33(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_18(x) + F_30(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_29(x)*F_4(x))
Eq(F_35(x), F_21(x)*F_4(x))
Eq(F_36(x), F_23(x) + F_37(x) + F_71(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_51(x))
Eq(F_39(x), F_40(x) + F_7(x))
Eq(F_40(x), F_23(x) + F_41(x) + F_42(x))
Eq(F_41(x), F_39(x)*F_4(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_14(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_23(x) + F_28(x) + F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_50(x))
Eq(F_49(x), F_14(x))
Eq(F_50(x), F_46(x))
Eq(F_51(x), F_52(x) + F_60(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_18(x) + F_52(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x))
Eq(F_58(x), F_32(x) + F_59(x))
Eq(F_59(x), F_57(x))
Eq(F_60(x), 2*F_23(x) + F_61(x) + F_62(x))
Eq(F_61(x), F_4(x)*F_51(x))
Eq(F_62(x), F_4(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_22(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), 2*F_23(x) + F_34(x) + F_67(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_22(x))
Eq(F_70(x), F_66(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_17(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_23(x) + F_24(x) + F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_21(x) + F_77(x))
Eq(F_77(x), F_74(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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