0132_1302_1320_2103
Counting sequence:
1, 1, 2, 6, 20, 63, 187, 534, 1491, 4105, 11185, 30213, 81002, 215767, 571548, 1506702, 3955277, 10344732, 26967086, 70092537, 181702287, 469904414, 1212589805, 3122884557, 8028004843, 20603090783, 52794201360, 135088684431, 345203407264, 881037461376, 2246015399233, 5719558618866, 14550337558920, 36980353196179, 93903284118835, 238245370060518, 603979900004471, 1530007440513745, 3873065782809717, 9797660421160089, 24769131724387286, 62579732938598919, 158016998805781988, 398779539247322610, 1005846826298337669, 2535776628972115688, 6389691214552150754, 16093386317472992397, 40515582593694435847, 101955746480747177006, 256462402933102778961, 644859431494978532469, 1620848135315719207663, 4072505821976004119859, 10228903313725475271676, 25683247589363189294367, 64465825056920536592808, 161760639462485801150596, 405774332399549527747321, 1017581400925294020979806, 2551119850356671407673852, 6394015858916548130048359, 16021439675406815751501675, 40134513759315865977807030, 100514008392796908169286747, 251669520284337912169415961, 629989430009865949341799673, 1576658172080277760578843309, 3944994173919017498812734402, 9868757831736258640151691191, 24682467510199924812519941420, 61720175242534805803967267286, 154305232705235980584662572669, 385701578718950786901808511156, 963921519959092152897494491542, 2408538435357037802847249909921, 6017127232119324447084206497471, 15029706502535529343045455660606, 37535257800831422340962834302069, 93725494076023895539687638684189, 233995373910440940034772306505267, 584103356566277119308263842513543, 1457829276102103973948089080983656, 3637975303750861955866160474350767, 9077169833862567815877225077903024, 22645414772956348771190778179189128, 56487274278554927322040354776829425, 140884380679426859362941393742957386, 351332467517319907937725705673215856, 876028452694245763964358905090654907, 2184056452392019950042157941007571555, 5444480196990610074335679802958742918, 13570537681194802981991160632952888447, 33821033555222192694752587750111852001, 84280472998243243641117293172511588925, 209999552730102369220101650732450277441, 523193218886360259612506721484448709166, 1303344302484450841416643239773892769511, 3246463145026942581122556914641900186740, 8085688168567672197518804890832907513402, 20136296091612838338949712906255839923253
Generating function in Maple syntax:
(x^2-x+1)*(x^6+3*x^4-11*x^3+13*x^2-6*x+1)/(3*x^3-5*x^2+4*x-1)^2
Generating function in latex syntax:
\frac{\left(x^{2}-x +1\right) \left(x^{6}+3 x^{4}-11 x^{3}+13 x^{2}-6 x +1\right)}{\left(3 x^{3}-5 x^{2}+4 x -1\right)^{2}}
Generating function in sympy syntax:
(x**2 - x + 1)*(x**6 + 3*x**4 - 11*x**3 + 13*x**2 - 6*x + 1)/(3*x**3 - 5*x**2 + 4*x - 1)**2
Implicit equation for the generating function in Maple syntax:
-(3*x^3-5*x^2+4*x-1)^2*F(x)+(x^2-x+1)*(x^6+3*x^4-11*x^3+13*x^2-6*x+1) = 0
Implicit equation for the generating function in latex syntax:
-\left(3 x^{3}-5 x^{2}+4 x -1\right)^{2} F \! \left(x \right)+\left(x^{2}-x +1\right) \left(x^{6}+3 x^{4}-11 x^{3}+13 x^{2}-6 x +1\right) = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,n = 1,1,n = 2,2,1/226050264*(-109120*2^(2/3)*(((51/160*n-3573/9920)*31^(1/2)+I*n-609/320*I)*3^(1/2)+(-153/160*I*n+10719/9920*I)*31^(1/2)-n+609/320)*(47+9*31^(1/2)*3^(1/2))^(1/3)-99107*(((-87/3197*n-90/99107)*31^(1/2)+I*n-3084/3197*I)*3^(1/2)+(-261/3197*I*n-270/99107*I)*31^(1/2)+n-3084/3197)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)+20645504*n+22325952)*(47/8712*2^(1/3)*((I-9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)+1)*(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)+1/226050264*(109120*(((-51/160*n+3573/9920)*31^(1/2)+I*n-609/320*I)*3^(1/2)+(-153/160*I*n+10719/9920*I)*31^(1/2)+n-609/320)*2^(2/3)*(47+9*31^(1/2)*3^(1/2))^(1/3)+99107*(((87/3197*n+90/99107)*31^(1/2)+I*n-3084/3197*I)*3^(1/2)+(-261/3197*I*n-270/99107*I)*31^(1/2)-n+3084/3197)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)+20645504*n+22325952)*(-47/8712*2^(1/3)*((I+9/47*31^(1/2))*3^(1/2)-27/47*I*31^(1/2)-1)*(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)-29/1215324*(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)*(-374/29*2^(2/3)*(3^(1/2)*(n-1191/1054)*31^(1/2)-160/51*n+203/34)*(47+9*31^(1/2)*3^(1/2))^(1/3)+(3^(1/2)*(n+30/899)*31^(1/2)-3197/87*n+1028/29)*2^(1/3)*(47+9*31^(1/2)*3^(1/2))^(2/3)-332992/87*n-120032/29))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ 1 & n =1 \\ 2 & n =2 \\ \frac{\left(-109120 \,2^{\frac{2}{3}} \left(\left(\left(\frac{51 n}{160}-\frac{3573}{9920}\right) \sqrt{31}+\mathrm{I} n -\frac{609 \,\mathrm{I}}{320}\right) \sqrt{3}+\left(-\frac{153 \,\mathrm{I} n}{160}+\frac{10719 \,\mathrm{I}}{9920}\right) \sqrt{31}-n +\frac{609}{320}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}-99107 \left(\left(\left(-\frac{87 n}{3197}-\frac{90}{99107}\right) \sqrt{31}+\mathrm{I} n -\frac{3084 \,\mathrm{I}}{3197}\right) \sqrt{3}+\left(-\frac{261 \,\mathrm{I} n}{3197}-\frac{270 \,\mathrm{I}}{99107}\right) \sqrt{31}+n -\frac{3084}{3197}\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}+20645504 n +22325952\right) \left(\frac{47 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}-\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}+1\right) \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}}{226050264}\\+\\\frac{\left(109120 \left(\left(\left(-\frac{51 n}{160}+\frac{3573}{9920}\right) \sqrt{31}+\mathrm{I} n -\frac{609 \,\mathrm{I}}{320}\right) \sqrt{3}+\left(-\frac{153 \,\mathrm{I} n}{160}+\frac{10719 \,\mathrm{I}}{9920}\right) \sqrt{31}+n -\frac{609}{320}\right) 2^{\frac{2}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}+99107 \left(\left(\left(\frac{87 n}{3197}+\frac{90}{99107}\right) \sqrt{31}+\mathrm{I} n -\frac{3084 \,\mathrm{I}}{3197}\right) \sqrt{3}+\left(-\frac{261 \,\mathrm{I} n}{3197}-\frac{270 \,\mathrm{I}}{99107}\right) \sqrt{31}-n +\frac{3084}{3197}\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}+20645504 n +22325952\right) \left(-\frac{47 \,2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{9 \sqrt{31}}{47}\right) \sqrt{3}-\frac{27 \,\mathrm{I} \sqrt{31}}{47}-1\right) \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}}{226050264}\\-\\\frac{29 \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} \left(-\frac{374 \,2^{\frac{2}{3}} \left(\sqrt{3}\, \left(n -\frac{1191}{1054}\right) \sqrt{31}-\frac{160 n}{51}+\frac{203}{34}\right) \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{1}{3}}}{29}+\left(\sqrt{3}\, \left(n +\frac{30}{899}\right) \sqrt{31}-\frac{3197 n}{87}+\frac{1028}{29}\right) 2^{\frac{1}{3}} \left(47+9 \sqrt{31}\, \sqrt{3}\right)^{\frac{2}{3}}-\frac{332992 n}{87}-\frac{120032}{29}\right)}{1215324} & \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) = 63
a(6) = 187
a(7) = 534
a(8) = 1491
a(n+6) = -9*a(n)+30*a(n+1)-49*a(n+2)+46*a(n+3)-26*a(n+4)+8*a(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) = 63
a \! \left(6\right) = 187
a \! \left(7\right) = 534
a \! \left(8\right) = 1491
a \! \left(n +6\right) = -9 a \! \left(n \right)+30 a \! \left(n +1\right)-49 a \! \left(n +2\right)+46 a \! \left(n +3\right)-26 a \! \left(n +4\right)+8 a \! \left(n +5\right), \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15651/
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[28,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[7,x]
F[14,x] = F[15,x]+F[16,x]+F[27,x]
F[15,x] = 0
F[16,x] = F[17,x]*F[4,x]
F[17,x] = F[18,x]+F[21,x]
F[18,x] = F[11,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[18,x]*F[4,x]
F[21,x] = F[22,x]+F[25,x]
F[22,x] = F[23,x]
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[22,x]+F[7,x]
F[25,x] = F[26,x]
F[26,x] = F[21,x]*F[4,x]
F[27,x] = F[13,x]*F[4,x]
F[28,x] = F[2,x]+F[29,x]
F[29,x] = F[15,x]+F[30,x]+F[49,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[36,x]
F[32,x] = F[33,x]+F[7,x]
F[33,x] = F[15,x]+F[16,x]+F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[13,x]
F[36,x] = F[37,x]+F[43,x]
F[37,x] = F[38,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[40,x]
F[40,x] = F[2,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[40,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[41,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[4,x]*F[46,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[2,x]+F[52,x]
F[52,x] = F[15,x]+F[53,x]+F[58,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[11,x]+F[14,x]
F[56,x] = F[41,x]+F[57,x]
F[57,x] = F[44,x]
F[58,x] = F[4,x]*F[51,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_{28}\! \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_{7}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{27}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{21}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{25}\! \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_{22}\! \left(x \right)+F_{7}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right)+F_{30}\! \left(x \right)+F_{49}\! \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_{36}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{7}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{43}\! \left(x \right)
F_{37}\! \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_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{2}\! \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_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{41}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{15}\! \left(x \right)+F_{53}\! \left(x \right)+F_{58}\! \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_{11}\! \left(x \right)+F_{14}\! \left(x \right)
F_{56}\! \left(x \right) = F_{41}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{44}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \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_28(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_7(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_27(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_21(x))
Eq(F_18(x), F_11(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_18(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_25(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_22(x) + F_7(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_21(x)*F_4(x))
Eq(F_27(x), F_13(x)*F_4(x))
Eq(F_28(x), F_2(x) + F_29(x))
Eq(F_29(x), F_15(x) + F_30(x) + F_49(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_36(x))
Eq(F_32(x), F_33(x) + F_7(x))
Eq(F_33(x), F_15(x) + F_16(x) + F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_13(x))
Eq(F_36(x), F_37(x) + F_43(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_2(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_40(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_41(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_4(x)*F_46(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_2(x) + F_52(x))
Eq(F_52(x), F_15(x) + F_53(x) + F_58(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_11(x) + F_14(x))
Eq(F_56(x), F_41(x) + F_57(x))
Eq(F_57(x), F_44(x))
Eq(F_58(x), F_4(x)*F_51(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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