0231_1302_3012
Counting sequence:
1, 1, 2, 6, 21, 75, 266, 939, 3311, 11676, 41183, 145273, 512466, 1807791, 6377231, 22496580, 79359907, 279953549, 987576834, 3483821147, 12289687107, 43353664156, 152936376303, 539505385513, 1903183981570, 6713759247671, 23683765569943, 83547939537044, 294727550015883, 1039694446371381, 3667673896726562, 12938254945785475, 45641582582457883, 161007343676958540, 567976902884659287, 2003621417777504913, 7068066967844573666, 24933637771429031167, 87957046154933569743, 310281317119572191300, 1094562629853135402643, 3861229421716432734589, 13621050308586826348610, 48050242874866136849003, 169504244388417084259315, 597950960217040868344572, 2109359279553909332269567, 7441072707074792259724729, 26249469954536631798968130, 92598836218735484571231623, 326655909011308666360112071, 1152326392525600374337051892, 4064999524821374986593922395, 14339879086324839318372972805, 50586016297124274916076285154, 178449555216490568572747507731, 629506849678012793712942197643, 2220677285021980066728125626284, 7833763217564612725075642702439, 27634743041135245542369389700641, 97485589204084731417452503132450, 343894643359678464990089127944911, 1213138543830282339113867675198847, 4279523263720643376256327222974628, 15096642883756526882735631383152099, 53255611037742425448023045866398925, 187866940275504857515395898164203010, 662728049885056151809243943758383483, 2337869917189021958023123332693335779, 8247177331101900224101828960614408540, 29093121661970477879215880257444182927, 102630232630771816398562400596758855113, 362043123877444444132644426908245784450, 1277159957519555028964092082499717381847, 4505368144054324046362550426824919061495, 15893343659851400873776859076797935732564, 56066089299159608210761889609850842016299, 197781312515250152089073815363709250877141, 697702444904452964017679344757559562539938, 2461247199925002164432141136248951122526371, 8682408702134105307724326442973716079318011, 30628463842718077030430110674590225396583436, 108046376247423857006306043410194130629480311, 381149360939150675636166616317327109905567409, 1344559997196451441590738154696607365862711906, 4743131620649727031696742798476438032633578399, 16732089023707778097543170986266134090119697711, 59024885980063155582150945114708102335713441028, 208218899625925286102941040382236563300089386035, 734522556741155098277705198178616843536013642013, 2591135518105425052729833036808217642348675536322, 9140608700943502109655938696861803462481962663819, 32244831210084413714667522621507838633236881619155, 113748348035017850585991780942689635421606331843516, 401263898588777172709510769925088882414744509503519, 1415516964352713848087653967591329941135555356674777, 4993442678041016051915031909202220838656478817931714, 17615097810066475020502754987795454571792998633237287, 62139828343827038851374676132741339249968236210962215, 219207313421424505817743710249465282273629077809245620, 773285790098454615734086502270319309920196866641276411
Generating function in Maple syntax:
-(5*x^4-11*x^3+12*x^2-6*x+1)/(2*x^5-12*x^4+20*x^3-17*x^2+7*x-1)
Generating function in latex syntax:
-\frac{5 x^{4}-11 x^{3}+12 x^{2}-6 x +1}{2 x^{5}-12 x^{4}+20 x^{3}-17 x^{2}+7 x -1}
Generating function in sympy syntax:
(-5*x**4 + 11*x**3 - 12*x**2 + 6*x - 1)/(2*x**5 - 12*x**4 + 20*x**3 - 17*x**2 + 7*x - 1)
Implicit equation for the generating function in Maple syntax:
(2*x^5-12*x^4+20*x^3-17*x^2+7*x-1)*F(x)+5*x^4-11*x^3+12*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x^{5}-12 x^{4}+20 x^{3}-17 x^{2}+7 x -1\right) F \! \left(x \right)+5 x^{4}-11 x^{3}+12 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
1654/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+3)+1654/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+3)+1654/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+3)+1654/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+3)+1654/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+3)-8995/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+2)-8995/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+2)-8995/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+2)-8995/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+2)-8995/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+2)+12889/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+1)+12889/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+1)+12889/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+1)+12889/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+1)+12889/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n+1)+1634/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n-1)+1634/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n-1)+1634/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n-1)+1634/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n-1)+1634/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n-1)-7438/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n)-7438/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n)-7438/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n)-7438/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n)-7438/9383*RootOf(2*_Z^5-12*_Z^4+20*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n)
Explicit closed form in latex syntax:
\frac{1654 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +3}}{9383}+\frac{1654 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +3}}{9383}+\frac{1654 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +3}}{9383}+\frac{1654 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +3}}{9383}+\frac{1654 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +3}}{9383}-\frac{8995 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +2}}{9383}-\frac{8995 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +2}}{9383}-\frac{8995 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +2}}{9383}-\frac{8995 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +2}}{9383}-\frac{8995 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +2}}{9383}+\frac{12889 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +1}}{9383}+\frac{12889 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +1}}{9383}+\frac{12889 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +1}}{9383}+\frac{12889 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +1}}{9383}+\frac{12889 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n +1}}{9383}+\frac{1634 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n -1}}{9383}+\frac{1634 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n -1}}{9383}+\frac{1634 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n -1}}{9383}+\frac{1634 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n -1}}{9383}+\frac{1634 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n -1}}{9383}-\frac{7438 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n}}{9383}-\frac{7438 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n}}{9383}-\frac{7438 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n}}{9383}-\frac{7438 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n}}{9383}-\frac{7438 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+20 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n}}{9383}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(n+5) = 2*a(n)-12*a(n+1)+20*a(n+2)-17*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) = 21
a \! \left(n +5\right) = 2 a \! \left(n \right)-12 a \! \left(n +1\right)+20 a \! \left(n +2\right)-17 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/374/
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[35,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[23,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[14,x]*F[4,x]
F[17,x] = F[11,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[15,x]
F[22,x] = F[18,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[27,x]+F[7,x]
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[4,x]
F[29,x] = F[23,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[27,x]
F[34,x] = F[30,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]*F[4,x]
F[37,x] = F[38,x]+F[39,x]
F[38,x] = F[5,x]*F[6,x]
F[39,x] = F[40,x]
F[40,x] = F[14,x]*F[4,x]*F[41,x]*F[5,x]*F[6,x]
F[41,x] = F[14,x]+F[42,x]
F[42,x] = F[15,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]+F[47,x]
F[44,x] = 0
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[15,x]+F[43,x]
F[47,x] = F[4,x]*F[42,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_{35}\! \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_{23}\! \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_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right)+F_{18}\! \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_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
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_{27}\! \left(x \right)+F_{7}\! \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_{23}\! \left(x \right)+F_{30}\! \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_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \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_{38}\! \left(x \right)+F_{39}\! \left(x \right)
F_{38}\! \left(x \right) = F_{5}\! \left(x \right) F_{6}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{5}\! \left(x \right) F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{14}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{15}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)+F_{47}\! \left(x \right)
F_{44}\! \left(x \right) = 0
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{15}\! \left(x \right)+F_{43}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \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_35(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_23(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_14(x)*F_4(x))
Eq(F_17(x), F_11(x) + F_18(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_22(x))
Eq(F_21(x), F_15(x))
Eq(F_22(x), F_18(x))
Eq(F_23(x), F_24(x))
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_27(x) + F_7(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_4(x))
Eq(F_29(x), F_23(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_27(x))
Eq(F_34(x), F_30(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x)*F_4(x))
Eq(F_37(x), F_38(x) + F_39(x))
Eq(F_38(x), F_5(x)*F_6(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_14(x)*F_4(x)*F_41(x)*F_5(x)*F_6(x))
Eq(F_41(x), F_14(x) + F_42(x))
Eq(F_42(x), F_15(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x) + F_47(x))
Eq(F_44(x), 0)
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_15(x) + F_43(x))
Eq(F_47(x), F_4(x)*F_42(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": true, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": true, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": true, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
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