0132_1032_1230_2130
Counting sequence:
1, 1, 2, 6, 20, 64, 202, 630, 1948, 5984, 18290, 55686, 169028, 511840, 1547002, 4668726, 14073100, 42380864, 127532642, 383539590, 1152892148, 3464164864, 10405744810, 31249223286, 93824897788, 281661138080, 845433531602, 2537387274246, 7614785298980, 22850689528864, 68567359326682, 205738993092150, 617306100240748, 1852133457762944, 5556919808334530, 16672013452135686, 50019067845716948, 150064512542902720, 450211183129521802, 1350676149395944566, 4052131293703405660, 12156642172148740064, 36470525944038838322, 109413024978340274310, 328242568655060959748, 984736140551486912224, 2954228784547108939450, 8862735514012927256886, 26588325225674630850508, 79765262204667191149760, 239296478352924019725602, 717891105064260250327686, 2153677346942679579561140, 6461041774333324586990464, 19383148821760444286163562, 58149503196307559757182070, 174448646549735603594121148, 523346270301858886326204704, 1570039609171693734388871570, 4710120754699967429530970886, 14130366916735791816731882468, 42391111982664040732837943200, 127173363065541342291937391002, 381520154664179132345301591606, 1144560622045196828068307173420, 3433682247708464451739215736064, 10301047664323800721318638038402, 30903145216941090863692189991430, 92709441019961057356650112556948, 278128336022128430300833698712384, 834385039360013592129841360802890, 2503155193629542637075087972781686, 7509465763281259933823731963756828, 22528397730178545707353695872467040, 67585194253597800956424555625206002, 202755585327252496443883102872424326, 608266762177737840315231648618690500, 1824800301491633316487469061855712864, 5474400940587719891529537757567838842, 16423202908947219354264648532704558390, 49269608937322597364213146690116459148, 147808827320113730375153877514355987264, 443426483187114006991909708523083965410, 1330279452523033590991139714973290513286, 3990838364719256728870688399707964777588, 11972515111419773668422014298104119425280, 35917545375933483924783210347060901698602, 107752636228410781095193915045660017033846, 323257908928127164846787480598683218400380, 969773727370781466983618196723933301736864, 2909321183528039167398571835489270365580882, 8727963554001907007534405752030635664018950, 26183890670256994799728314992535026586979748, 78551672030691321458773830696054143518061344, 235655016140165912272624361261503677663351130, 706965048536601969670067707849642590965509686, 2120895145890106322610895240852532135956608748, 6362685438347024027886264581229936691965441920, 19088056316674782617366643578338095007147636802, 57264168953968473979569209262983195168041148166, 171792506871427384727354034679535690728571231060
Generating function in Maple syntax:
(3*x^4+4*x^3+2*x^2-4*x+1)/(3*x-1)/(x^2+2*x-1)
Generating function in latex syntax:
\frac{3 x^{4}+4 x^{3}+2 x^{2}-4 x +1}{\left(3 x -1\right) \left(x^{2}+2 x -1\right)}
Generating function in sympy syntax:
(3*x**4 + 4*x**3 + 2*x**2 - 4*x + 1)/((3*x - 1)*(x**2 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(3*x-1)*(x^2+2*x-1)*F(x)+3*x^4+4*x^3+2*x^2-4*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(3 x -1\right) \left(x^{2}+2 x -1\right) F \! \left(x \right)+3 x^{4}+4 x^{3}+2 x^{2}-4 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,-1/2*(-1-2^(1/2))^(1-n)-1/2*(2^(1/2)-1)^(1-n)+3^(-1+n))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ -\frac{\left(-1-\sqrt{2}\right)^{1-n}}{2}-\frac{\left(\sqrt{2}-1\right)^{1-n}}{2}+3^{-1+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) = -3*a(n)-5*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) = -3 a \! \left(n \right)-5 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/15516/
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[32,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[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[14,x]+F[21,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[1,x]+F[12,x]
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[12,x]*F[14,x]
F[21,x] = F[22,x]+F[23,x]+F[31,x]
F[22,x] = 0
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[25,x]+F[28,x]
F[25,x] = F[10,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[10,x]*F[12,x]
F[28,x] = F[21,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[12,x]*F[21,x]
F[31,x] = F[12,x]*F[13,x]
F[32,x] = F[33,x]+F[42,x]
F[33,x] = F[34,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[1,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[12,x]*F[36,x]
F[39,x] = F[33,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[12,x]*F[39,x]
F[42,x] = F[22,x]+F[43,x]+F[58,x]
F[43,x] = F[12,x]*F[44,x]
F[44,x] = F[45,x]+F[50,x]
F[45,x] = F[10,x]+F[46,x]
F[46,x] = F[22,x]+F[47,x]+F[48,x]
F[47,x] = F[12,x]*F[45,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[37,x]+F[46,x]
F[50,x] = F[51,x]+F[54,x]
F[51,x] = F[22,x]+F[43,x]+F[52,x]
F[52,x] = F[12,x]*F[53,x]
F[53,x] = F[33,x]+F[51,x]
F[54,x] = 2*F[22,x]+F[55,x]+F[56,x]
F[55,x] = F[12,x]*F[50,x]
F[56,x] = F[12,x]*F[57,x]
F[57,x] = F[40,x]+F[54,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[53,x]+F[60,x]
F[60,x] = F[61,x]+F[78,x]
F[61,x] = F[22,x]+F[62,x]+F[72,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[64,x]+F[67,x]
F[64,x] = F[12,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[12,x]*F[37,x]
F[67,x] = F[68,x]+F[70,x]
F[68,x] = F[69,x]
F[69,x] = F[12,x]*F[33,x]
F[70,x] = F[71,x]
F[71,x] = F[12,x]*F[40,x]
F[72,x] = F[12,x]*F[73,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[33,x]+F[68,x]
F[75,x] = F[61,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[12,x]*F[61,x]
F[78,x] = F[22,x]+F[79,x]+F[89,x]+F[95,x]
F[79,x] = F[12,x]*F[80,x]
F[80,x] = F[81,x]+F[84,x]
F[81,x] = F[26,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[12,x]*F[46,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[86,x]
F[86,x] = F[12,x]*F[51,x]
F[87,x] = F[88,x]
F[88,x] = F[12,x]*F[54,x]
F[89,x] = F[12,x]*F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[51,x]+F[85,x]
F[92,x] = F[78,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[12,x]*F[78,x]
F[95,x] = F[12,x]*F[60,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_{32}\! \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_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
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_{12}\! \left(x \right) F_{16}\! \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_{12}\! \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_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{31}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{28}\! \left(x \right)
F_{25}\! \left(x \right) = F_{10}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \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_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{42}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{39}\! \left(x \right) = F_{33}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{22}\! \left(x \right)+F_{43}\! \left(x \right)+F_{58}\! \left(x \right)
F_{43}\! \left(x \right) = F_{12}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{50}\! \left(x \right)
F_{45}\! \left(x \right) = F_{10}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{22}\! \left(x \right)+F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{37}\! \left(x \right)+F_{46}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{54}\! \left(x \right)
F_{51}\! \left(x \right) = F_{22}\! \left(x \right)+F_{43}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{33}\! \left(x \right)+F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{40}\! \left(x \right)+F_{54}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{53}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{78}\! \left(x \right)
F_{61}\! \left(x \right) = F_{22}\! \left(x \right)+F_{62}\! \left(x \right)+F_{72}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{72}\! \left(x \right) = F_{12}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{33}\! \left(x \right)+F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{61}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{78}\! \left(x \right) = F_{22}\! \left(x \right)+F_{79}\! \left(x \right)+F_{89}\! \left(x \right)+F_{95}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{84}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{46}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{12}\! \left(x \right) F_{51}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{51}\! \left(x \right)+F_{85}\! \left(x \right)
F_{92}\! \left(x \right) = F_{78}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{95}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \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_32(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_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_21(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_1(x) + F_12(x))
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_12(x)*F_14(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_31(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_25(x) + F_28(x))
Eq(F_25(x), F_10(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_10(x)*F_12(x))
Eq(F_28(x), F_21(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_12(x)*F_21(x))
Eq(F_31(x), F_12(x)*F_13(x))
Eq(F_32(x), F_33(x) + F_42(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_1(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_12(x)*F_36(x))
Eq(F_39(x), F_33(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_12(x)*F_39(x))
Eq(F_42(x), F_22(x) + F_43(x) + F_58(x))
Eq(F_43(x), F_12(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_50(x))
Eq(F_45(x), F_10(x) + F_46(x))
Eq(F_46(x), F_22(x) + F_47(x) + F_48(x))
Eq(F_47(x), F_12(x)*F_45(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_37(x) + F_46(x))
Eq(F_50(x), F_51(x) + F_54(x))
Eq(F_51(x), F_22(x) + F_43(x) + F_52(x))
Eq(F_52(x), F_12(x)*F_53(x))
Eq(F_53(x), F_33(x) + F_51(x))
Eq(F_54(x), 2*F_22(x) + F_55(x) + F_56(x))
Eq(F_55(x), F_12(x)*F_50(x))
Eq(F_56(x), F_12(x)*F_57(x))
Eq(F_57(x), F_40(x) + F_54(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_53(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_78(x))
Eq(F_61(x), F_22(x) + F_62(x) + F_72(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_67(x))
Eq(F_64(x), F_12(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_12(x)*F_37(x))
Eq(F_67(x), F_68(x) + F_70(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_12(x)*F_33(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_12(x)*F_40(x))
Eq(F_72(x), F_12(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_33(x) + F_68(x))
Eq(F_75(x), F_61(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_12(x)*F_61(x))
Eq(F_78(x), F_22(x) + F_79(x) + F_89(x) + F_95(x))
Eq(F_79(x), F_12(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_84(x))
Eq(F_81(x), F_26(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_12(x)*F_46(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_12(x)*F_51(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_12(x)*F_54(x))
Eq(F_89(x), F_12(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_51(x) + F_85(x))
Eq(F_92(x), F_78(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_12(x)*F_78(x))
Eq(F_95(x), F_12(x)*F_60(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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