0123_0231_1032_3012_3021
Counting sequence:
1, 1, 2, 6, 19, 51, 126, 298, 685, 1544, 3431, 7542, 16437, 35572, 76531, 163826, 349169, 741360, 1568751, 3309550, 6963181, 14614508, 30605291, 63963114, 133431273, 277872616, 577765351, 1199570918, 2487222245, 5150605284, 10653532131, 22011707362, 45432700897, 93683974112, 193005092831, 397284474846, 817117528029, 1679332212700, 3448858738651, 7078106103770, 14516989460441, 29755533426648, 60954175864791, 124794569752534, 255361575550933, 522268023193556, 1067625790570451, 2181431069507538, 4455221115748305, 9095160184963024, 18559756276858831, 37858384367583182, 77194512362897357, 157344511981256652, 320599998473437131, 653021945968721866, 1329687789981138889, 2706663376049668040, 5507902344274116551, 11204955872897793990, 22788214114494709701, 46333032966387662788, 94179275407571812291, 191384969764736597954, 388822777428659142593, 789751230655690178496, 1603713812908124143551, 3255850329009735860158, 6608546064406446866365, 13410782941586844024764, 27208947508721588633531, 55192658268538978435002, 111934843039269559205817, 226968739082922323083192, 460135584174611055509431, 932667380366754929704886, 1890127184768575496781749, 3829839217607282268307380, 7758848131354827086102451, 15716035654990179271180210, 31828750094541408740310961, 64450857758204917876522928, 130488430654654036544847791, 264150291585796474673299374, 534647443724569752513806253, 1081988608555093111362027436, 2189364659322093435392884651, 4429504203068001296123428778, 8960558174983631442922176425, 18124215887662520587194990504, 36654630850715556577091256231, 74121659852212143959585062822, 149868116005986349529975226277, 302985824615096822281560653732, 612470834436441891006341709731, 1237940039285380274899124223906, 2501876819395753535571130056609, 5055747120441493042688023330720, 10215481204182958028467573096351, 20638936334965859943118199062430, 41693820523131607658602503864221
Generating function in Maple syntax:
-(x^8-x^7-3*x^6+5*x^5-x^4+5*x^3-9*x^2+5*x-1)/(2*x-1)^2/(x-1)^2
Generating function in latex syntax:
-\frac{x^{8}-x^{7}-3 x^{6}+5 x^{5}-x^{4}+5 x^{3}-9 x^{2}+5 x -1}{\left(2 x -1\right)^{2} \left(x -1\right)^{2}}
Generating function in sympy syntax:
(-x**8 + x**7 + 3*x**6 - 5*x**5 + x**4 - 5*x**3 + 9*x**2 - 5*x + 1)/((x - 1)**2*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(x-1)^2*F(x)+x^8-x^7-3*x^6+5*x^5-x^4+5*x^3-9*x^2+5*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(x -1\right)^{2} F \! \left(x \right)+x^{8}-x^{7}-3 x^{6}+5 x^{5}-x^{4}+5 x^{3}-9 x^{2}+5 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,n = 3,6,n = 4,19,1/64*(21*n+5)*2^n-n+1)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ 6 & n =3 \\ 19 & n =4 \\ \frac{\left(21 n +5\right) 2^{n}}{64}-n +1 & \mathit{\text{otherwise}} \end{array}\right.
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 51
a(6) = 126
a(7) = 298
a(8) = 685
a(n+2) = -4*a(n)+4*a(n+1)+3-n, 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) = 19
a \! \left(5\right) = 51
a \! \left(6\right) = 126
a \! \left(7\right) = 298
a \! \left(8\right) = 685
a \! \left(n +2\right) = -4 a \! \left(n \right)+4 a \! \left(n +1\right)+3-n, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/17297/
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[25,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[24,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[1,x]+F[4,x]
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[4,x]
F[23,x] = F[19,x]
F[24,x] = F[20,x]
F[25,x] = F[26,x]+F[36,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[17,x]+F[29,x]
F[29,x] = F[26,x]+F[30,x]
F[30,x] = F[31,x]+F[32,x]+F[35,x]
F[31,x] = 0
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[22,x]+F[34,x]
F[34,x] = F[30,x]
F[35,x] = F[26,x]*F[4,x]
F[36,x] = F[31,x]+F[37,x]+F[74,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[47,x]
F[39,x] = F[40,x]+F[42,x]
F[40,x] = F[41,x]
F[41,x] = F[17,x]*F[4,x]
F[42,x] = F[31,x]+F[43,x]+F[44,x]
F[43,x] = x^2
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[4,x]+F[46,x]
F[46,x] = F[43,x]
F[47,x] = F[48,x]+F[66,x]
F[48,x] = F[31,x]+F[37,x]+F[49,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[26,x]+F[51,x]
F[51,x] = F[31,x]+F[35,x]+F[52,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[54,x]+F[57,x]
F[54,x] = F[4,x]+F[55,x]
F[55,x] = F[31,x]+F[43,x]+F[56,x]
F[56,x] = x^2
F[57,x] = F[51,x]+F[58,x]
F[58,x] = F[31,x]+F[59,x]+F[64,x]+F[65,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[46,x]
F[62,x] = F[63,x]
F[63,x] = 2*F[31,x]+F[59,x]+F[64,x]
F[64,x] = F[4,x]*F[51,x]
F[65,x] = F[30,x]*F[4,x]
F[66,x] = F[31,x]+F[64,x]+F[67,x]+F[72,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[43,x]
F[70,x] = F[71,x]
F[71,x] = 2*F[31,x]+F[64,x]+F[67,x]
F[72,x] = F[4,x]*F[73,x]
F[73,x] = F[30,x]+F[63,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]+F[81,x]
F[76,x] = F[26,x]+F[77,x]
F[77,x] = F[31,x]+F[52,x]+F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[26,x]+F[80,x]
F[80,x] = F[31,x]+F[32,x]+F[78,x]
F[81,x] = F[82,x]+F[90,x]
F[82,x] = F[31,x]+F[32,x]+F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[29,x]+F[85,x]
F[85,x] = F[82,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[4,x]*F[88,x]
F[88,x] = F[34,x]+F[89,x]
F[89,x] = F[86,x]
F[90,x] = 2*F[31,x]+F[59,x]+F[91,x]
F[91,x] = F[4,x]*F[92,x]
F[92,x] = F[93,x]+F[94,x]
F[93,x] = F[51,x]
F[94,x] = F[95,x]
F[95,x] = 2*F[31,x]+F[59,x]+F[91,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_{25}\! \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_{24}\! \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_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{19}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{36}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{17}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{26}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{35}\! \left(x \right)
F_{31}\! \left(x \right) = 0
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{22}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \left(x \right)
F_{35}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right)+F_{37}\! \left(x \right)+F_{74}\! \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_{47}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{42}\! \left(x \right) = F_{31}\! \left(x \right)+F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = x^{2}
F_{44}\! \left(x \right) = F_{4}\! \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_{43}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{66}\! \left(x \right)
F_{48}\! \left(x \right) = F_{31}\! \left(x \right)+F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{26}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{31}\! \left(x \right)+F_{35}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{57}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{31}\! \left(x \right)+F_{43}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = x^{2}
F_{57}\! \left(x \right) = F_{51}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{31}\! \left(x \right)+F_{59}\! \left(x \right)+F_{64}\! \left(x \right)+F_{65}\! \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_{46}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{65}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{66}\! \left(x \right) = F_{31}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)+F_{72}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{43}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{30}\! \left(x \right)+F_{63}\! \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_{81}\! \left(x \right)
F_{76}\! \left(x \right) = F_{26}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{31}\! \left(x \right)+F_{52}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{26}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{90}\! \left(x \right)
F_{82}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{29}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{82}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{34}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{86}\! \left(x \right)
F_{90}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{59}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{4}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{94}\! \left(x \right)
F_{93}\! \left(x \right) = F_{51}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{59}\! \left(x \right)+F_{91}\! \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_25(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_24(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_1(x) + F_4(x))
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_4(x))
Eq(F_23(x), F_19(x))
Eq(F_24(x), F_20(x))
Eq(F_25(x), F_26(x) + F_36(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_17(x) + F_29(x))
Eq(F_29(x), F_26(x) + F_30(x))
Eq(F_30(x), F_31(x) + F_32(x) + F_35(x))
Eq(F_31(x), 0)
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_22(x) + F_34(x))
Eq(F_34(x), F_30(x))
Eq(F_35(x), F_26(x)*F_4(x))
Eq(F_36(x), F_31(x) + F_37(x) + F_74(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_47(x))
Eq(F_39(x), F_40(x) + F_42(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_17(x)*F_4(x))
Eq(F_42(x), F_31(x) + F_43(x) + F_44(x))
Eq(F_43(x), x**2)
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_4(x) + F_46(x))
Eq(F_46(x), F_43(x))
Eq(F_47(x), F_48(x) + F_66(x))
Eq(F_48(x), F_31(x) + F_37(x) + F_49(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_26(x) + F_51(x))
Eq(F_51(x), F_31(x) + F_35(x) + F_52(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_57(x))
Eq(F_54(x), F_4(x) + F_55(x))
Eq(F_55(x), F_31(x) + F_43(x) + F_56(x))
Eq(F_56(x), x**2)
Eq(F_57(x), F_51(x) + F_58(x))
Eq(F_58(x), F_31(x) + F_59(x) + F_64(x) + F_65(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_46(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), 2*F_31(x) + F_59(x) + F_64(x))
Eq(F_64(x), F_4(x)*F_51(x))
Eq(F_65(x), F_30(x)*F_4(x))
Eq(F_66(x), F_31(x) + F_64(x) + F_67(x) + F_72(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_43(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), 2*F_31(x) + F_64(x) + F_67(x))
Eq(F_72(x), F_4(x)*F_73(x))
Eq(F_73(x), F_30(x) + F_63(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_81(x))
Eq(F_76(x), F_26(x) + F_77(x))
Eq(F_77(x), F_31(x) + F_52(x) + F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_26(x) + F_80(x))
Eq(F_80(x), F_31(x) + F_32(x) + F_78(x))
Eq(F_81(x), F_82(x) + F_90(x))
Eq(F_82(x), F_31(x) + F_32(x) + F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_29(x) + F_85(x))
Eq(F_85(x), F_82(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_4(x)*F_88(x))
Eq(F_88(x), F_34(x) + F_89(x))
Eq(F_89(x), F_86(x))
Eq(F_90(x), 2*F_31(x) + F_59(x) + F_91(x))
Eq(F_91(x), F_4(x)*F_92(x))
Eq(F_92(x), F_93(x) + F_94(x))
Eq(F_93(x), F_51(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), 2*F_31(x) + F_59(x) + F_91(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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"ignore_parent": true, "strategy_class": "RequirementInsertionStrategy"}}, {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": 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