0213_0321_1230_3021
Counting sequence:
1, 1, 2, 6, 20, 62, 182, 516, 1430, 3902, 10532, 28206, 75110, 199172, 526502, 1388526, 3655460, 9610622, 25241942, 66246276, 173759030, 455555102, 1193954852, 3128406606, 8195459270, 21466359812, 56220397382, 147228386766, 385531871780, 1009501446302, 2643240902582, 6920758132356, 18120107236310, 47441711060222, 124209320911652, 325194841609326, 851392383785510, 2229016669485572, 5835726344147942, 15278299801911726, 39999447939494180, 104720593772384702, 274163432889287702, 717771903918733956, 1879156676913425270, 4919706922914564062, 12879981684016311332, 33720273313506458766, 88280908625247242630, 231122593299723624452, 605087152748900341382, 1584139427896930821006, 4147332256841798964260, 10857859594428279757022, 28426251030042667677302, 74420902502898978015876, 194836474493052775852310, 510088557005056368505022, 1335429268579710367590692, 3496199392849262810122926, 9153169198198454214489830, 23963308778206852136770052, 62736758289343606802667302, 164246968395666977484925806, 430004151509343344079498020, 1125765495355735091608344062, 2947292353004606004455085782, 7716111600551571069176016516, 20201042522437083497911170230, 52887016114333632014233907102, 138460006115711717724143376932, 362493002823097331516901875406, 949019003534171897543973552710, 2484564010140601602549841389572, 6504673031609999392975195829702, 17029455094134129542115036526926, 44583692269681855164848494605860, 116721621752690367815387609000222, 305581173063947112007228655813942, 800021897590266695658127005279876, 2094484520009084429870809653702230, 5483431663041449503761616543179902, 14355810470324189901028669150543652, 37583999750348971838553649257863406, 98396188785558428893090795321871270, 257604566615997721397635770105399812, 674417511081777548413650581789626982, 1765647966668020550070984108854078766, 4622526388999655354254638011953804580, 12101931200485688017603602461369725502, 31683267212766893708377514440880152982, 82947870438433963127171630998720295556, 217160344103772935712422758830179857910, 568533161875360724088667406041617526622, 1488439141527260996710720980394269218852, 3896784262716325786357778577340383123726, 10201913646641523402991180836025266139910, 26708956677247858503872896099532187271172, 69924956385181280271141771800164839623942, 183065912478454438634580947976149419501326, 479272781050498948282658129478657594681380
Generating function in Maple syntax:
-(2*x^4+x^3+4*x^2-4*x+1)/(2*x-1)/(x^2-3*x+1)
Generating function in latex syntax:
-\frac{2 x^{4}+x^{3}+4 x^{2}-4 x +1}{\left(2 x -1\right) \left(x^{2}-3 x +1\right)}
Generating function in sympy syntax:
(-2*x**4 - x**3 - 4*x**2 + 4*x - 1)/((2*x - 1)*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(x^2-3*x+1)*F(x)+2*x^4+x^3+4*x^2-4*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(x^{2}-3 x +1\right) F \! \left(x \right)+2 x^{4}+x^{3}+4 x^{2}-4 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,(3-5^(1/2))*(3/2-1/2*5^(1/2))^(-n)+(3+5^(1/2))*(3/2+1/2*5^(1/2))^(-n)-2^n)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \left(3-\sqrt{5}\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}+\left(3+\sqrt{5}\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}-2^{n} & \mathit{\text{otherwise}} \end{array}\right.
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
a(n+3) = 2*a(n)-7*a(n+1)+5*a(n+2), 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 +3\right) = 2 a \! \left(n \right)-7 a \! \left(n +1\right)+5 a \! \left(n +2\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15741/
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[12,x]*F[4,x]
F[4,x] = F[17,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[5,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[1,x]+F[12,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[9,x]
F[17,x] = F[18,x]+F[48,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x]+F[24,x]
F[21,x] = F[1,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[13,x]
F[24,x] = F[18,x]+F[25,x]
F[25,x] = F[26,x]+F[27,x]+F[46,x]
F[26,x] = 0
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[33,x]
F[29,x] = F[22,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[12,x]*F[32,x]
F[32,x] = F[12,x]
F[33,x] = F[25,x]+F[34,x]
F[34,x] = 2*F[26,x]+F[35,x]+F[39,x]
F[35,x] = F[12,x]*F[36,x]
F[36,x] = F[37,x]+F[38,x]
F[37,x] = F[30,x]
F[38,x] = F[34,x]
F[39,x] = F[12,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[12,x]
F[45,x] = F[41,x]
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[18,x]+F[41,x]
F[48,x] = F[26,x]+F[49,x]+F[96,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[51,x]+F[67,x]
F[51,x] = F[52,x]+F[6,x]
F[52,x] = F[26,x]+F[53,x]+F[59,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[55,x]+F[6,x]
F[55,x] = F[56,x]
F[56,x] = F[12,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[12,x]+F[55,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[58,x]+F[61,x]
F[61,x] = F[62,x]+F[64,x]
F[62,x] = F[63,x]
F[63,x] = x^2
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[61,x]
F[67,x] = F[48,x]+F[68,x]
F[68,x] = F[26,x]+F[69,x]+F[92,x]+F[94,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[71,x]+F[75,x]
F[71,x] = F[52,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[55,x]
F[75,x] = F[68,x]+F[76,x]
F[76,x] = 2*F[26,x]+F[77,x]+F[81,x]+F[91,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[72,x]
F[80,x] = F[76,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = 2*F[26,x]+F[84,x]+F[88,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[55,x]
F[87,x] = F[83,x]
F[88,x] = F[12,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[41,x]+F[83,x]
F[91,x] = 0
F[92,x] = F[12,x]*F[93,x]
F[93,x] = F[48,x]+F[83,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[90,x]
F[96,x] = F[12,x]*F[97,x]
F[97,x] = F[17,x]+F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[42,x]
F[100,x] = 2*F[26,x]+F[101,x]+F[84,x]
F[101,x] = F[102,x]*F[12,x]
F[102,x] = F[98,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{17}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{5}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{48}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{24}\! \left(x \right)
F_{21}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{24}\! \left(x \right) = F_{18}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{46}\! \left(x \right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{33}\! \left(x \right)
F_{29}\! \left(x \right) = F_{22}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right)
F_{33}\! \left(x \right) = F_{25}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = 2 F_{26}\! \left(x \right)+F_{35}\! \left(x \right)+F_{39}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{38}\! \left(x \right)
F_{37}\! \left(x \right) = F_{30}\! \left(x \right)
F_{38}\! \left(x \right) = F_{34}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \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_{12}\! \left(x \right)
F_{45}\! \left(x \right) = F_{41}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{18}\! \left(x \right)+F_{41}\! \left(x \right)
F_{48}\! \left(x \right) = F_{26}\! \left(x \right)+F_{49}\! \left(x \right)+F_{96}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{67}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{6}\! \left(x \right)
F_{52}\! \left(x \right) = F_{26}\! \left(x \right)+F_{53}\! \left(x \right)+F_{59}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{6}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right)+F_{55}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{58}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{64}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2}
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{61}\! \left(x \right)
F_{67}\! \left(x \right) = F_{48}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{26}\! \left(x \right)+F_{69}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{71}\! \left(x \right) = F_{52}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{55}\! \left(x \right)
F_{75}\! \left(x \right) = F_{68}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = 2 F_{26}\! \left(x \right)+F_{77}\! \left(x \right)+F_{81}\! \left(x \right)+F_{91}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{72}\! \left(x \right)
F_{80}\! \left(x \right) = F_{76}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = 2 F_{26}\! \left(x \right)+F_{84}\! \left(x \right)+F_{88}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{55}\! \left(x \right)
F_{87}\! \left(x \right) = F_{83}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{41}\! \left(x \right)+F_{83}\! \left(x \right)
F_{91}\! \left(x \right) = 0
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{48}\! \left(x \right)+F_{83}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{90}\! \left(x \right)
F_{96}\! \left(x \right) = F_{12}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{17}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{42}\! \left(x \right)
F_{100}\! \left(x \right) = 2 F_{26}\! \left(x \right)+F_{101}\! \left(x \right)+F_{84}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right)
F_{102}\! \left(x \right) = F_{98}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_17(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_5(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_1(x) + F_12(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_9(x))
Eq(F_17(x), F_18(x) + F_48(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_24(x))
Eq(F_21(x), F_1(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_13(x))
Eq(F_24(x), F_18(x) + F_25(x))
Eq(F_25(x), F_26(x) + F_27(x) + F_46(x))
Eq(F_26(x), 0)
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_33(x))
Eq(F_29(x), F_22(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_12(x)*F_32(x))
Eq(F_32(x), F_12(x))
Eq(F_33(x), F_25(x) + F_34(x))
Eq(F_34(x), 2*F_26(x) + F_35(x) + F_39(x))
Eq(F_35(x), F_12(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_38(x))
Eq(F_37(x), F_30(x))
Eq(F_38(x), F_34(x))
Eq(F_39(x), F_12(x)*F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_12(x))
Eq(F_45(x), F_41(x))
Eq(F_46(x), F_12(x)*F_47(x))
Eq(F_47(x), F_18(x) + F_41(x))
Eq(F_48(x), F_26(x) + F_49(x) + F_96(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_67(x))
Eq(F_51(x), F_52(x) + F_6(x))
Eq(F_52(x), F_26(x) + F_53(x) + F_59(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_6(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_12(x)*F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_12(x) + F_55(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_58(x) + F_61(x))
Eq(F_61(x), F_62(x) + F_64(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), x**2)
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_61(x))
Eq(F_67(x), F_48(x) + F_68(x))
Eq(F_68(x), F_26(x) + F_69(x) + F_92(x) + F_94(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_75(x))
Eq(F_71(x), F_52(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_55(x))
Eq(F_75(x), F_68(x) + F_76(x))
Eq(F_76(x), 2*F_26(x) + F_77(x) + F_81(x) + F_91(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_72(x))
Eq(F_80(x), F_76(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), 2*F_26(x) + F_84(x) + F_88(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_55(x))
Eq(F_87(x), F_83(x))
Eq(F_88(x), F_12(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_41(x) + F_83(x))
Eq(F_91(x), 0)
Eq(F_92(x), F_12(x)*F_93(x))
Eq(F_93(x), F_48(x) + F_83(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_90(x))
Eq(F_96(x), F_12(x)*F_97(x))
Eq(F_97(x), F_17(x) + F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_42(x))
Eq(F_100(x), F_101(x) + 2*F_26(x) + F_84(x))
Eq(F_101(x), F_102(x)*F_12(x))
Eq(F_102(x), F_98(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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