0213_0321_1302_3102
Counting sequence:
1, 1, 2, 6, 20, 65, 202, 606, 1774, 5104, 14495, 40743, 113561, 314309, 864793, 2367414, 6452797, 17521930, 47422097, 127972056, 344452190, 925005827, 2478943033, 6631102032, 17708453332, 47219358466, 125737409009, 334400784630, 888332975948, 2357394047966, 6249916379830, 16555248508485, 43817454468325, 115887350738125, 306286094749973, 808990618287411, 2135527721720018, 5634186460437359, 14857256560138984, 39160039139166987, 103171341772071076, 271706304941586442, 715281811294865741, 1882359930833147037, 4952066953847853542, 13023815526559377470, 34242595551680152300, 90007768770565588269, 236529745486652172346, 621428266163060244226, 1632308466190281549482, 4286723896970356463052, 11255543612453319075623, 29548154908070124380903, 77557191337504208532181, 203538301332226094698437, 534080634344614248020101, 1401225687981700835171050, 3675814812976974918893321, 9641550618111070155434994, 25286638851961439733542177, 66311568994514294604284012, 173877866907005144086805422, 455888616976306322449043679, 1195184940314239199071770925, 3133110499212957954069979900, 8212638712598610055674519716, 21525743652323016514014764922, 56416216408700779765843895453, 147850188628221888573716527502, 387448174913303880621917066320, 1015268095081823923845904519410, 2660263868189337297168817805578, 6970227222376211723903119050037, 18262015138123948379907322930901, 47844412257855624874832197265577, 125341722341629710822536451483773, 328354579280034640125599500802063, 860150592217124791172855554866718, 2253153883799496750937071009347523, 5901916394839744021320272366501032, 15459018941368416208886666947542043, 40490978372852806443014148975693368, 106052965755270941670584602370854338, 277764198409293306269671607776452809, 727477013478299340703037169058960169, 1905252129200942547244494410778285034, 4989722441346427671930425217203793366, 13067473179866319885815246143956770356, 34221469563780966294304440591655298713, 89618564650116117258612198085129568666, 234687552568567305235448401304642299638, 614575577486973089082194766252797028278, 1609363364123820140563944068307564444200, 4214313814199423352910310062887887127247, 11035548807871014978509021044230981028311, 28897191583119606258139954156776085183153, 75668006087273725257195489027260943437941, 198136364581505027161995202666430926942817, 518813915460643533543131243192823307731534, 1358484943937374758865873517891574975305525
Generating function in Maple syntax:
-(6*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{6 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:
(-6*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)+6*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)+6 x^{4}-12 x^{3}+13 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
29/52272*(2^(1/3)*((I+46/899*31^(1/2))*3^(1/2)-138/899*I*31^(1/2)-1)*(47+9*31^(1/2)*3^(1/2))^(2/3)+968/29+11/58*((I-49/31*31^(1/2))*3^(1/2)-147/31*I*31^(1/2)+1)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3))*((-128/121*2^(1/3)*((I-1993/3968*31^(1/2))*3^(1/2)+797/3968*I*31^(1/2)+185/64)*(47+9*31^(1/2)*3^(1/2))^(2/3)-109/22*((I+79/3379*31^(1/2))*3^(1/2)-1195/3379*I*31^(1/2)+301/109)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)+674/31*I*31^(1/2)+70)*(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-598/3751*31^(1/2))*3^(1/2)-28/31*I*31^(1/2)+377/121)*(47+9*31^(1/2)*3^(1/2))^(2/3)-205/22*((I-637/6355*31^(1/2))*3^(1/2)-479/6355*I*31^(1/2)+13/205)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)-674/31*I*31^(1/2)+70)*(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)+21/2420*(2^(1/3)*((I-45/7*31^(1/2))*3^(1/2)+135/7*I*31^(1/2)-1)*(47+9*31^(1/2)*3^(1/2))^(2/3)-12584/7+1727/7*((I-9/157*31^(1/2))*3^(1/2)-27/157*I*31^(1/2)+1)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3))*(5+5^(1/2))*(3/2-1/2*5^(1/2))^(-n)-21/2420*(5^(1/2)-5)*(2^(1/3)*((I-45/7*31^(1/2))*3^(1/2)+135/7*I*31^(1/2)-1)*(47+9*31^(1/2)*3^(1/2))^(2/3)-12584/7+1727/7*((I-9/157*31^(1/2))*3^(1/2)-27/157*I*31^(1/2)+1)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3))*(3/2+1/2*5^(1/2))^(-n)-36*(-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))
Explicit closed form in latex syntax:
\frac{29 \left(2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{46 \sqrt{31}}{899}\right) \sqrt{3}-\frac{138 \,\mathrm{I} \sqrt{31}}{899}-1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}+\frac{968}{29}+\frac{11 \left(\left(\mathrm{I}-\frac{49 \sqrt{31}}{31}\right) \sqrt{3}-\frac{147 \,\mathrm{I} \sqrt{31}}{31}+1\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{58}\right) \left(\left(-\frac{128 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{1993 \sqrt{31}}{3968}\right) \sqrt{3}+\frac{797 \,\mathrm{I} \sqrt{31}}{3968}+\frac{185}{64}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}}{121}-\frac{109 \left(\left(\mathrm{I}+\frac{79 \sqrt{31}}{3379}\right) \sqrt{3}-\frac{1195 \,\mathrm{I} \sqrt{31}}{3379}+\frac{301}{109}\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{22}+\frac{674 \,\mathrm{I} \sqrt{31}}{31}+70\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(2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{598 \sqrt{31}}{3751}\right) \sqrt{3}-\frac{28 \,\mathrm{I} \sqrt{31}}{31}+\frac{377}{121}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{205 \left(\left(\mathrm{I}-\frac{637 \sqrt{31}}{6355}\right) \sqrt{3}-\frac{479 \,\mathrm{I} \sqrt{31}}{6355}+\frac{13}{205}\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{22}-\frac{674 \,\mathrm{I} \sqrt{31}}{31}+70\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{21 \left(2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{45 \sqrt{31}}{7}\right) \sqrt{3}+\frac{135 \,\mathrm{I} \sqrt{31}}{7}-1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{12584}{7}+\frac{1727 \left(\left(\mathrm{I}-\frac{9 \sqrt{31}}{157}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{157}+1\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{7}\right) \left(5+\sqrt{5}\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{2420}-\frac{21 \left(\sqrt{5}-5\right) \left(2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{45 \sqrt{31}}{7}\right) \sqrt{3}+\frac{135 \,\mathrm{I} \sqrt{31}}{7}-1\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{12584}{7}+\frac{1727 \left(\left(\mathrm{I}-\frac{9 \sqrt{31}}{157}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{157}+1\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{7}\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{2420}-36 \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)}{52272}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
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) = 20
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://permpal.com/tree/15746/
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[56,x]
F[33,x] = 0
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[44,x]
F[36,x] = F[37,x]+F[7,x]
F[37,x] = F[15,x]+F[33,x]+F[38,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[36,x]+F[40,x]
F[40,x] = F[14,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[40,x]
F[44,x] = F[32,x]+F[45,x]
F[45,x] = 2*F[33,x]+F[46,x]+F[50,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[44,x]+F[48,x]
F[48,x] = F[49,x]+F[53,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[26,x]+F[49,x]
F[53,x] = F[54,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[48,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[17,x]+F[52,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_{56}\! \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_{44}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{7}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right)+F_{33}\! \left(x \right)+F_{38}\! \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_{14}\! \left(x \right)+F_{41}\! \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_{40}\! \left(x \right)
F_{44}\! \left(x \right) = F_{32}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{46}\! \left(x \right)+F_{50}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{26}\! \left(x \right)+F_{49}\! \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_{48}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{17}\! \left(x \right)+F_{52}\! \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_56(x))
Eq(F_33(x), 0)
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_44(x))
Eq(F_36(x), F_37(x) + F_7(x))
Eq(F_37(x), F_15(x) + F_33(x) + F_38(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_14(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_40(x))
Eq(F_44(x), F_32(x) + F_45(x))
Eq(F_45(x), 2*F_33(x) + F_46(x) + F_50(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_44(x) + F_48(x))
Eq(F_48(x), F_49(x) + F_53(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_26(x) + F_49(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_48(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_17(x) + F_52(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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