0213_0231_2130_3012
Counting sequence:
1, 1, 2, 6, 20, 61, 163, 393, 881, 1878, 3868, 7786, 15444, 30367, 59439, 116153, 227043, 444438, 871792, 1714056, 3377956, 6671795, 13203837, 26177101, 51975755, 103332736, 205656628, 409671888, 816677406, 1629028203, 3251041513, 6490716211, 12963021619, 25896232332, 51744205034, 103410296508, 206694171198, 413183752253, 826036431077, 1651537129811, 3302207377141, 6603012054140, 13203754431022, 26403836379946, 52801730484990, 105593846085761, 211172134872643, 422319097408983, 844597465015181, 1689129027708278, 3378151423092258, 6756130311321186, 13511981455219144, 27023511207896297, 54046291545550879, 108091400518019213, 216180887592391653, 432358679167706418, 864712348874315112, 1729416592270053566, 3458820069600001176, 6917618918780857035, 13835203502201967307, 27670351448624512541, 55340613006109289975, 110681080565298818386, 221361925792537495708, 442723470800094402428, 885446325477147344456, 1770891654046271863103, 3541781695061478615353, 7083560780183868418961, 14167117337397581987519, 28334227841885919330012, 56668444627892438124224, 113336871366996229967268, 226673713789324411954658, 453347380745192128420183, 906694685712259512075397, 1813389248812937582530071, 3626778299236168977234311, 7253556277471050323505480, 14507112035551106826625942, 29014223230709932200225136, 58028445101636589125274210, 116056888003097621520492361, 232113772446236411033807073, 464227539132338433328339223, 928455068944583645908085481, 1856910122808939682326059928, 3713820221217558534411066298, 7427640402954568629088508286, 14855280742028267988199764994, 29710561380695118266685962477, 59421122594147949553678292319, 118842244917692194417946444923, 237684489397538397166786047713, 475368978086627097975051909298, 950737955026958507922473447182, 1901475908199171631458792850326, 3802951813397302190503797650796
Generating function in Maple syntax:
(2*x^9+x^8-10*x^7+11*x^6-16*x^4+27*x^3-20*x^2+7*x-1)/(2*x-1)/(x^2+x-1)/(x-1)^5
Generating function in latex syntax:
\frac{2 x^{9}+x^{8}-10 x^{7}+11 x^{6}-16 x^{4}+27 x^{3}-20 x^{2}+7 x -1}{\left(2 x -1\right) \left(x^{2}+x -1\right) \left(x -1\right)^{5}}
Generating function in sympy syntax:
(2*x**9 + x**8 - 10*x**7 + 11*x**6 - 16*x**4 + 27*x**3 - 20*x**2 + 7*x - 1)/((x - 1)**5*(2*x - 1)*(x**2 + x - 1))
Implicit equation for the generating function in Maple syntax:
-(2*x-1)*(x^2+x-1)*(x-1)^5*F(x)+2*x^9+x^8-10*x^7+11*x^6-16*x^4+27*x^3-20*x^2+7*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(2 x -1\right) \left(x^{2}+x -1\right) \left(x -1\right)^{5} F \! \left(x \right)+2 x^{9}+x^{8}-10 x^{7}+11 x^{6}-16 x^{4}+27 x^{3}-20 x^{2}+7 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/120*(-432*5^(1/2)+960)*(-1/2*5^(1/2)-1/2)^(-n)+1/120*(432*5^(1/2)+960)*(1/2*5^(1/2)-1/2)^(-n)-1/24*n^4-1/4*n^3-107/24*n^2-17/4*n+3*2^n-23)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(-432 \sqrt{5}+960\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{120}+\frac{\left(432 \sqrt{5}+960\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{120}-\frac{n^{4}}{24}-\\\frac{n^{3}}{4}-\frac{107 n^{2}}{24}-\frac{17 n}{4}+3 \,2^{n}-23 & \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) = 61
a(6) = 163
a(7) = 393
a(8) = 881
a(9) = 1878
a(n+3) = -1/24*n^4+1/12*n^3-59/24*n^2-2*a(n)-a(n+1)+3*a(n+2)+173/12*n-8, n >= 10
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) = 61
a \! \left(6\right) = 163
a \! \left(7\right) = 393
a \! \left(8\right) = 881
a \! \left(9\right) = 1878
a \! \left(n +3\right) = -\frac{n^{4}}{24}+\frac{n^{3}}{12}-\frac{59 n^{2}}{24}-2 a \! \left(n \right)-a \! \left(n +1\right)+3 a \! \left(n +2\right)+\frac{173 n}{12}-8, \quad n \geq 10
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15722/
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[46,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[45,x]
F[23,x] = 0
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[30,x]
F[26,x] = F[14,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[14,x]+F[27,x]
F[30,x] = F[31,x]+F[36,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = F[14,x]
F[35,x] = F[31,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[40,x]
F[39,x] = F[27,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[27,x]
F[44,x] = F[41,x]
F[45,x] = F[21,x]*F[4,x]
F[46,x] = F[23,x]+F[47,x]+F[90,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[49,x]+F[63,x]
F[49,x] = F[50,x]+F[7,x]
F[50,x] = F[23,x]+F[51,x]+F[53,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[7,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[14,x]
F[56,x] = F[57,x]
F[57,x] = F[23,x]+F[58,x]+F[59,x]
F[58,x] = F[34,x]*F[4,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[14,x]
F[62,x] = F[57,x]
F[63,x] = F[64,x]+F[81,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[69,x]
F[67,x] = F[68,x]+F[7,x]
F[68,x] = F[51,x]
F[69,x] = F[64,x]+F[70,x]
F[70,x] = 2*F[23,x]+F[71,x]+F[79,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[68,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[68,x]
F[78,x] = F[75,x]
F[79,x] = F[4,x]*F[80,x]
F[80,x] = F[64,x]
F[81,x] = 2*F[23,x]+F[79,x]+F[82,x]
F[82,x] = F[4,x]*F[83,x]
F[83,x] = F[84,x]+F[85,x]
F[84,x] = F[50,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[87,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[50,x]
F[89,x] = F[86,x]
F[90,x] = F[4,x]*F[91,x]
F[91,x] = F[17,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[23,x]+F[24,x]+F[94,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[21,x]+F[96,x]
F[96,x] = F[93,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_{46}\! \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_{45}\! \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_{30}\! \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_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{36}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = F_{14}\! \left(x \right)
F_{35}\! \left(x \right) = F_{31}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \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_{40}\! \left(x \right)
F_{39}\! \left(x \right) = F_{27}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \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_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{27}\! \left(x \right)
F_{44}\! \left(x \right) = F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{46}\! \left(x \right) = F_{23}\! \left(x \right)+F_{47}\! \left(x \right)+F_{90}\! \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_{63}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{7}\! \left(x \right)
F_{50}\! \left(x \right) = F_{23}\! \left(x \right)+F_{51}\! \left(x \right)+F_{53}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{7}\! \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_{14}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{23}\! \left(x \right)+F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{14}\! \left(x \right)
F_{62}\! \left(x \right) = F_{57}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{81}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{69}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{7}\! \left(x \right)
F_{68}\! \left(x \right) = F_{51}\! \left(x \right)
F_{69}\! \left(x \right) = F_{64}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{68}\! \left(x \right)
F_{74}\! \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_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{68}\! \left(x \right)
F_{78}\! \left(x \right) = F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{64}\! \left(x \right)
F_{81}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{79}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{50}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{50}\! \left(x \right)
F_{89}\! \left(x \right) = F_{86}\! \left(x \right)
F_{90}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{17}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{21}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{93}\! \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_46(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_45(x))
Eq(F_23(x), 0)
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_30(x))
Eq(F_26(x), F_14(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_14(x) + F_27(x))
Eq(F_30(x), F_31(x) + F_36(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), F_14(x))
Eq(F_35(x), F_31(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_40(x))
Eq(F_39(x), F_27(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_27(x))
Eq(F_44(x), F_41(x))
Eq(F_45(x), F_21(x)*F_4(x))
Eq(F_46(x), F_23(x) + F_47(x) + F_90(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_63(x))
Eq(F_49(x), F_50(x) + F_7(x))
Eq(F_50(x), F_23(x) + F_51(x) + F_53(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_7(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_14(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_23(x) + F_58(x) + F_59(x))
Eq(F_58(x), F_34(x)*F_4(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_14(x))
Eq(F_62(x), F_57(x))
Eq(F_63(x), F_64(x) + F_81(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_69(x))
Eq(F_67(x), F_68(x) + F_7(x))
Eq(F_68(x), F_51(x))
Eq(F_69(x), F_64(x) + F_70(x))
Eq(F_70(x), 2*F_23(x) + F_71(x) + F_79(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_68(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_68(x))
Eq(F_78(x), F_75(x))
Eq(F_79(x), F_4(x)*F_80(x))
Eq(F_80(x), F_64(x))
Eq(F_81(x), 2*F_23(x) + F_79(x) + F_82(x))
Eq(F_82(x), F_4(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_85(x))
Eq(F_84(x), F_50(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_87(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_50(x))
Eq(F_89(x), F_86(x))
Eq(F_90(x), F_4(x)*F_91(x))
Eq(F_91(x), F_17(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_23(x) + F_24(x) + F_94(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_21(x) + F_96(x))
Eq(F_96(x), F_93(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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