0321_1230_1302
Counting sequence:
1, 1, 2, 6, 21, 73, 250, 853, 2911, 9938, 33931, 115849, 395534, 1350437, 4610679, 15741842, 53746011, 183500361, 626509422, 2139036965, 7303129015, 24934442130, 85131510491, 290657157705, 992365609838, 3388148123941, 11567861276087, 39495148856466, 134844872873691, 460389193781833, 1571867029379950, 5366689729956133, 18323024861064631, 62558719984346258, 213588830215255771, 729237880892330569, 2489773863138810734, 8500619690770581797, 29022931036804705719, 99090484765677659282, 338316076989101225691, 1155083338425049584201, 3943701199721995885422, 13464638122037884373285, 45971150088707545722295, 156955324110754414142610, 535878996265602565125851, 1829605336840901432218185, 6246663354832400598621038, 21327442745647799530047781, 72816444272926396922949047, 248610891600409988631700626, 848810677855787160680904411, 2898020928222328665460216393, 9894462357177740340479056750, 33781807572266304030995794213, 115338305574709735443025063351, 393789607154306333710108664978, 1344481817467805863954384533211, 4590348055562610788397320802889, 15672428587314831425680514145134, 53509018238134104125927414974757, 182691215777906753652348631608759, 623746826635358806357539696485522, 2129604874985621718125461522724571, 7270925846671769259786766697927241, 24824493636715833602896143746259822, 84756122853519795892011041589184805, 289375504140647516362251878864219575, 987989770855550473664985432278508690, 3373208075140906861935437971385595611, 11516852758852526500411781020985365065, 39320994885128292277776248141170269038, 134250274022808116110281430522710346021, 458359106320975879885573225808500846007, 1564935877238287287321730042188582691986, 5343025296311197389515773717137329075931, 18242229430768214983419634784172150919753, 62282867130450465154646991702413945527150, 212647009660265430651748697241311480269093, 726022304380160792297700805560418030022071, 2478795198200112307887305827759049159550098, 8463136184040127646953821699915360578156251, 28894954339760285972040675144143343993524809, 98653544990960888594255057176742654817786734, 336824271284322982432938878418683931284097317, 1149989995155370152543245399321250415500815799, 3926311438052834645307103840447633799435068562, 13405265761900598276141924563148034366738642651, 45768440171496723813953490571696869868084433481, 156263229162185698703530113160491410738860448622, 533516036305749347186213471498571903219272927525, 1821537686898625991337793659673304791399370812855, 6219118674983005270978747695696075359158937396370, 21233399326134769101239403463437691853837007959771, 72495359954573065863000118462358616697030157046345, 247514641166022725249521666922559083080446612265838, 845067844754944769272086430765519098927726134970661, 2885242096687733626589302389216958229550011315350967, 9850832697241044967813036695336794720344592991462546, 33632846595588712618073542002913262422278349335148251
Generating function in Maple syntax:
(x^4-3*x^3+4*x^2-4*x+1)/(x^2-x+1)/(2*x^2-4*x+1)
Generating function in latex syntax:
\frac{x^{4}-3 x^{3}+4 x^{2}-4 x +1}{\left(x^{2}-x +1\right) \left(2 x^{2}-4 x +1\right)}
Generating function in sympy syntax:
(x**4 - 3*x**3 + 4*x**2 - 4*x + 1)/((x**2 - x + 1)*(2*x**2 - 4*x + 1))
Implicit equation for the generating function in Maple syntax:
(x^2-x+1)*(2*x^2-4*x+1)*F(x)-x^4+3*x^3-4*x^2+4*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-x +1\right) \left(2 x^{2}-4 x +1\right) F \! \left(x \right)-x^{4}+3 x^{3}-4 x^{2}+4 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/84*(8*I*3^(1/2)+12)*(1/2+1/2*I*3^(1/2))^(-n)-2/21*I*(1/2-1/2*I*3^(1/2))^(-n)*3^(1/2)+1/28*(1-1/2*2^(1/2))^(-n)*2^(1/2)-1/28*(1+1/2*2^(1/2))^(-n)*2^(1/2)+3/28*(1-1/2*2^(1/2))^(-n)+3/28*(1+1/2*2^(1/2))^(-n)+1/7*(1/2-1/2*I*3^(1/2))^(-n))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{\left(8 \,\mathrm{I} \sqrt{3}+12\right) \left(\frac{1}{2}+\frac{\mathrm{I} \sqrt{3}}{2}\right)^{-n}}{84}-\frac{2 \,\mathrm{I} \left(\frac{1}{2}-\frac{\mathrm{I} \sqrt{3}}{2}\right)^{-n} \sqrt{3}}{21}+\frac{\left(1-\frac{\sqrt{2}}{2}\right)^{-n} \sqrt{2}}{28}-\\\frac{\left(1+\frac{\sqrt{2}}{2}\right)^{-n} \sqrt{2}}{28}+\frac{3 \left(1-\frac{\sqrt{2}}{2}\right)^{-n}}{28}+\frac{3 \left(1+\frac{\sqrt{2}}{2}\right)^{-n}}{28}+\frac{\left(\frac{1}{2}-\frac{\mathrm{I} \sqrt{3}}{2}\right)^{-n}}{7} & \mathit{\text{otherwise}} \end{array}\right.
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(n+4) = -2*a(n)+6*a(n+1)-7*a(n+2)+5*a(n+3), 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) = 21
a \! \left(n +4\right) = -2 a \! \left(n \right)+6 a \! \left(n +1\right)-7 a \! \left(n +2\right)+5 a \! \left(n +3\right), \quad n \geq 5
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/14780/
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[31,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[5,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[1,x]+F[12,x]
F[14,x] = F[15,x]+F[16,x]+F[20,x]
F[15,x] = 0
F[16,x] = F[12,x]*F[17,x]
F[17,x] = F[18,x]+F[6,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[6,x]
F[20,x] = F[12,x]*F[21,x]
F[21,x] = F[22,x]+F[9,x]
F[22,x] = F[23,x]+F[26,x]
F[23,x] = F[24,x]
F[24,x] = F[12,x]*F[25,x]
F[25,x] = F[12,x]
F[26,x] = 2*F[15,x]+F[27,x]+F[29,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[18,x]
F[29,x] = F[12,x]*F[30,x]
F[30,x] = F[22,x]
F[31,x] = F[32,x]+F[52,x]
F[32,x] = F[33,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[1,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[13,x]
F[38,x] = F[32,x]+F[39,x]
F[39,x] = F[15,x]+F[40,x]+F[44,x]
F[40,x] = F[12,x]*F[41,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[36,x]
F[43,x] = F[39,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[32,x]+F[46,x]
F[46,x] = F[15,x]+F[47,x]+F[51,x]
F[47,x] = F[12,x]*F[48,x]
F[48,x] = F[49,x]+F[50,x]
F[49,x] = F[12,x]
F[50,x] = F[46,x]
F[51,x] = F[12,x]*F[32,x]
F[52,x] = F[15,x]+F[53,x]+F[72,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[55,x]+F[58,x]
F[55,x] = F[56,x]+F[6,x]
F[56,x] = F[57,x]
F[57,x] = F[12,x]*F[17,x]
F[58,x] = F[52,x]+F[59,x]
F[59,x] = 2*F[15,x]+F[60,x]+F[64,x]
F[60,x] = F[12,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[56,x]
F[63,x] = F[59,x]
F[64,x] = F[12,x]*F[65,x]
F[65,x] = F[52,x]+F[66,x]
F[66,x] = 2*F[15,x]+F[67,x]+F[71,x]
F[67,x] = F[12,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[18,x]
F[70,x] = F[66,x]
F[71,x] = F[12,x]*F[52,x]
F[72,x] = F[12,x]*F[73,x]
F[73,x] = F[31,x]+F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[15,x]+F[47,x]+F[76,x]
F[76,x] = F[12,x]*F[45,x]
F[77,x] = F[15,x]+F[67,x]+F[78,x]+F[79,x]
F[78,x] = F[12,x]*F[65,x]
F[79,x] = F[12,x]*F[80,x]
F[80,x] = F[74,x]+F[81,x]
F[81,x] = F[82,x]+F[85,x]
F[82,x] = F[83,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[46,x]
F[85,x] = 2*F[15,x]+F[86,x]+F[87,x]+F[89,x]
F[86,x] = 0
F[87,x] = F[12,x]*F[88,x]
F[88,x] = F[66,x]
F[89,x] = F[12,x]*F[90,x]
F[90,x] = F[81,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_{31}\! \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_{5}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{20}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{9}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{26}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right)
F_{26}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{27}\! \left(x \right)+F_{29}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{18}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{22}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{52}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{38}\! \left(x \right) = F_{32}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{15}\! \left(x \right)+F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{36}\! \left(x \right)
F_{43}\! \left(x \right) = F_{39}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{32}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{15}\! \left(x \right)+F_{47}\! \left(x \right)+F_{51}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right)
F_{50}\! \left(x \right) = F_{46}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{32}\! \left(x \right)
F_{52}\! \left(x \right) = F_{15}\! \left(x \right)+F_{53}\! \left(x \right)+F_{72}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{58}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{6}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{58}\! \left(x \right) = F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{60}\! \left(x \right)+F_{64}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{56}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{52}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{67}\! \left(x \right)+F_{71}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \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_{18}\! \left(x \right)
F_{70}\! \left(x \right) = F_{66}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{72}\! \left(x \right) = F_{12}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{31}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{15}\! \left(x \right)+F_{47}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right)+F_{67}\! \left(x \right)+F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{74}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{46}\! \left(x \right)
F_{85}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{86}\! \left(x \right)+F_{87}\! \left(x \right)+F_{89}\! \left(x \right)
F_{86}\! \left(x \right) = 0
F_{87}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{66}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{81}\! \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_31(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_5(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_1(x) + F_12(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_20(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_12(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_6(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_6(x))
Eq(F_20(x), F_12(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_9(x))
Eq(F_22(x), F_23(x) + F_26(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_12(x)*F_25(x))
Eq(F_25(x), F_12(x))
Eq(F_26(x), 2*F_15(x) + F_27(x) + F_29(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_18(x))
Eq(F_29(x), F_12(x)*F_30(x))
Eq(F_30(x), F_22(x))
Eq(F_31(x), F_32(x) + F_52(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_1(x) + F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_13(x))
Eq(F_38(x), F_32(x) + F_39(x))
Eq(F_39(x), F_15(x) + F_40(x) + F_44(x))
Eq(F_40(x), F_12(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_36(x))
Eq(F_43(x), F_39(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_32(x) + F_46(x))
Eq(F_46(x), F_15(x) + F_47(x) + F_51(x))
Eq(F_47(x), F_12(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_50(x))
Eq(F_49(x), F_12(x))
Eq(F_50(x), F_46(x))
Eq(F_51(x), F_12(x)*F_32(x))
Eq(F_52(x), F_15(x) + F_53(x) + F_72(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_58(x))
Eq(F_55(x), F_56(x) + F_6(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_12(x)*F_17(x))
Eq(F_58(x), F_52(x) + F_59(x))
Eq(F_59(x), 2*F_15(x) + F_60(x) + F_64(x))
Eq(F_60(x), F_12(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_56(x))
Eq(F_63(x), F_59(x))
Eq(F_64(x), F_12(x)*F_65(x))
Eq(F_65(x), F_52(x) + F_66(x))
Eq(F_66(x), 2*F_15(x) + F_67(x) + F_71(x))
Eq(F_67(x), F_12(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_18(x))
Eq(F_70(x), F_66(x))
Eq(F_71(x), F_12(x)*F_52(x))
Eq(F_72(x), F_12(x)*F_73(x))
Eq(F_73(x), F_31(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_15(x) + F_47(x) + F_76(x))
Eq(F_76(x), F_12(x)*F_45(x))
Eq(F_77(x), F_15(x) + F_67(x) + F_78(x) + F_79(x))
Eq(F_78(x), F_12(x)*F_65(x))
Eq(F_79(x), F_12(x)*F_80(x))
Eq(F_80(x), F_74(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_85(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_46(x))
Eq(F_85(x), 2*F_15(x) + F_86(x) + F_87(x) + F_89(x))
Eq(F_86(x), 0)
Eq(F_87(x), F_12(x)*F_88(x))
Eq(F_88(x), F_66(x))
Eq(F_89(x), F_12(x)*F_90(x))
Eq(F_90(x), F_81(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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