0132_1230_3021_3102
Counting sequence:
1, 1, 2, 6, 20, 60, 153, 343, 700, 1335, 2424, 4247, 7251, 12152, 20100, 32946, 53674, 87100, 141003, 227955, 368282, 594855, 960842, 1552251, 2508225, 4053880, 6553438, 10596198, 17135640, 27714500, 44828949, 72517847, 117316176, 189797727, 307071220, 496819111, 803832519, 1300584960, 2104341008, 3404838690, 5509080542, 8913807060, 14422761207, 23336426371, 37759028830, 61095278175, 98854110198, 159949170203, 258803039205, 418751943440, 677554690074, 1096306312422, 1773860650876, 2870166579052, 4644026810865, 7514192933751, 12158219248964, 19672411645095, 31830630311888, 51503041327575, 83333670960027, 134836711555240, 218170381726972, 353007092434866, 571177473252210, 924184564711820, 1495362036919683, 2419546600514483, 3914908636240770, 6334455235481655, 10249363870364674, 16583819104400347, 26833182973226601, 43417002075991752, 70250185047481910, 113667187121631366, 183917372167160384, 297584559286723380, 481501931451694893, 779086490736103735, 1260588422185353112, 2039674912918874895, 3300263335101504012, 5339938248017507111, 8640201583115985615, 13980139831130307440, 22620341414242941768, 36600481245369725538, 59220822659608964710, 95821303904974802020, 155042126564579685999, 250863430469550207747, 405905557034125406726, 656768987503670913327, 1062674544537791397230, 1719443532041457158331, 2782118076579243166029, 4501561608620694689440, 7283679685199931966898, 11785241293820620505670, 19068920979020546051172
Generating function in Maple syntax:
(x^8-7*x^6+3*x^5+2*x^4-7*x^3+10*x^2-5*x+1)/(x^2+x-1)/(x-1)^5
Generating function in latex syntax:
\frac{x^{8}-7 x^{6}+3 x^{5}+2 x^{4}-7 x^{3}+10 x^{2}-5 x +1}{\left(x^{2}+x -1\right) \left(x -1\right)^{5}}
Generating function in sympy syntax:
(x**8 - 7*x**6 + 3*x**5 + 2*x**4 - 7*x**3 + 10*x**2 - 5*x + 1)/((x - 1)**5*(x**2 + x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^2+x-1)*(x-1)^5*F(x)+x^8-7*x^6+3*x^5+2*x^4-7*x^3+10*x^2-5*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}+x -1\right) \left(x -1\right)^{5} F \! \left(x \right)+x^{8}-7 x^{6}+3 x^{5}+2 x^{4}-7 x^{3}+10 x^{2}-5 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/60*(-324*5^(1/2)+720)*(-1/2*5^(1/2)-1/2)^(-n)+1/60*(324*5^(1/2)+720)*(1/2*5^(1/2)-1/2)^(-n)+1/12*n^4-n^3-31/12*n^2-17/2*n-27)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(-324 \sqrt{5}+720\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{60}+\frac{\left(324 \sqrt{5}+720\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{60}+\frac{n^{4}}{12}-\\n^{3}-\frac{31 n^{2}}{12}-\frac{17 n}{2}-27 & \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(5) = 60
a(6) = 153
a(7) = 343
a(8) = 700
a(n+2) = -1/12*n^4+4/3*n^3+13/12*n^2+a(n)+a(n+1)-10/3*n+5, n >= 9
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) = 60
a \! \left(6\right) = 153
a \! \left(7\right) = 343
a \! \left(8\right) = 700
a \! \left(n +2\right) = -\frac{n^{4}}{12}+\frac{4 n^{3}}{3}+\frac{13 n^{2}}{12}+a \! \left(n \right)+a \! \left(n +1\right)-\frac{10 n}{3}+5, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15648/
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[39,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[13,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[4,x]
F[13,x] = F[14,x]+F[21,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[17,x] = F[14,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[14,x]
F[21,x] = F[22,x]+F[23,x]+F[37,x]
F[22,x] = 0
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[28,x]
F[25,x] = F[11,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[25,x]*F[4,x]
F[28,x] = F[21,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[25,x]+F[35,x]
F[35,x] = F[32,x]+F[36,x]
F[36,x] = F[30,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[14,x]+F[32,x]
F[39,x] = F[14,x]+F[40,x]
F[40,x] = F[22,x]+F[41,x]+F[78,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[43,x]+F[62,x]
F[43,x] = F[44,x]+F[7,x]
F[44,x] = F[22,x]+F[27,x]+F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[47,x]+F[48,x]
F[47,x] = F[11,x]+F[26,x]
F[48,x] = F[49,x]+F[54,x]
F[49,x] = F[22,x]+F[27,x]+F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[11,x]
F[53,x] = F[49,x]
F[54,x] = 2*F[22,x]+F[55,x]+F[58,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = F[26,x]+F[57,x]
F[57,x] = F[55,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[61,x]
F[60,x] = F[26,x]
F[61,x] = F[54,x]
F[62,x] = F[40,x]+F[63,x]
F[63,x] = 2*F[22,x]+F[30,x]+F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[18,x]+F[36,x]
F[67,x] = F[68,x]+F[73,x]
F[68,x] = F[69,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[18,x]
F[72,x] = F[68,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[36,x]
F[77,x] = F[73,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[38,x]+F[80,x]
F[80,x] = F[81,x]+F[88,x]
F[81,x] = F[22,x]+F[82,x]+F[85,x]
F[82,x] = F[4,x]*F[83,x]
F[83,x] = F[25,x]+F[84,x]
F[84,x] = F[18,x]
F[85,x] = F[4,x]*F[86,x]
F[86,x] = F[20,x]+F[87,x]
F[87,x] = F[81,x]
F[88,x] = 2*F[22,x]+F[89,x]+F[96,x]
F[89,x] = F[4,x]*F[90,x]
F[90,x] = F[91,x]+F[95,x]
F[91,x] = F[92,x]+F[94,x]
F[92,x] = F[22,x]+F[27,x]+F[93,x]
F[93,x] = F[4,x]*F[47,x]
F[94,x] = F[55,x]
F[95,x] = F[30,x]
F[96,x] = F[4,x]*F[97,x]
F[97,x] = F[31,x]+F[98,x]
F[98,x] = F[88,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_{39}\! \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_{13}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \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_{17}\! \left(x \right) = F_{14}\! \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_{14}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{37}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{28}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{21}\! \left(x \right)+F_{29}\! \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_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{25}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{32}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{14}\! \left(x \right)+F_{32}\! \left(x \right)
F_{39}\! \left(x \right) = F_{14}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{22}\! \left(x \right)+F_{41}\! \left(x \right)+F_{78}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{62}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{7}\! \left(x \right)
F_{44}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \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_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{11}\! \left(x \right)+F_{26}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \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_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)
F_{54}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{55}\! \left(x \right)+F_{58}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{26}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{55}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{61}\! \left(x \right)
F_{60}\! \left(x \right) = F_{26}\! \left(x \right)
F_{61}\! \left(x \right) = F_{54}\! \left(x \right)
F_{62}\! \left(x \right) = F_{40}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{30}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{18}\! \left(x \right)+F_{36}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{73}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right)
F_{72}\! \left(x \right) = F_{68}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{36}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{38}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{88}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right)+F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{25}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{18}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{20}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{81}\! \left(x \right)
F_{88}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{89}\! \left(x \right)+F_{96}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{95}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{92}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{94}\! \left(x \right) = F_{55}\! \left(x \right)
F_{95}\! \left(x \right) = F_{30}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{31}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{88}\! \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_39(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_13(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_21(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) + F_17(x))
Eq(F_17(x), F_14(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_14(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_37(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_28(x))
Eq(F_25(x), F_11(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_25(x)*F_4(x))
Eq(F_28(x), F_21(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_25(x) + F_35(x))
Eq(F_35(x), F_32(x) + F_36(x))
Eq(F_36(x), F_30(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_14(x) + F_32(x))
Eq(F_39(x), F_14(x) + F_40(x))
Eq(F_40(x), F_22(x) + F_41(x) + F_78(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_62(x))
Eq(F_43(x), F_44(x) + F_7(x))
Eq(F_44(x), F_22(x) + F_27(x) + F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_48(x))
Eq(F_47(x), F_11(x) + F_26(x))
Eq(F_48(x), F_49(x) + F_54(x))
Eq(F_49(x), F_22(x) + F_27(x) + F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_11(x))
Eq(F_53(x), F_49(x))
Eq(F_54(x), 2*F_22(x) + F_55(x) + F_58(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_26(x) + F_57(x))
Eq(F_57(x), F_55(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_61(x))
Eq(F_60(x), F_26(x))
Eq(F_61(x), F_54(x))
Eq(F_62(x), F_40(x) + F_63(x))
Eq(F_63(x), 2*F_22(x) + F_30(x) + F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_18(x) + F_36(x))
Eq(F_67(x), F_68(x) + F_73(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_72(x))
Eq(F_71(x), F_18(x))
Eq(F_72(x), F_68(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_36(x))
Eq(F_77(x), F_73(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_38(x) + F_80(x))
Eq(F_80(x), F_81(x) + F_88(x))
Eq(F_81(x), F_22(x) + F_82(x) + F_85(x))
Eq(F_82(x), F_4(x)*F_83(x))
Eq(F_83(x), F_25(x) + F_84(x))
Eq(F_84(x), F_18(x))
Eq(F_85(x), F_4(x)*F_86(x))
Eq(F_86(x), F_20(x) + F_87(x))
Eq(F_87(x), F_81(x))
Eq(F_88(x), 2*F_22(x) + F_89(x) + F_96(x))
Eq(F_89(x), F_4(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_95(x))
Eq(F_91(x), F_92(x) + F_94(x))
Eq(F_92(x), F_22(x) + F_27(x) + F_93(x))
Eq(F_93(x), F_4(x)*F_47(x))
Eq(F_94(x), F_55(x))
Eq(F_95(x), F_30(x))
Eq(F_96(x), F_4(x)*F_97(x))
Eq(F_97(x), F_31(x) + F_98(x))
Eq(F_98(x), F_88(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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