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A265065
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Coordination sequence for (2,5,6) tiling of hyperbolic plane.
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27
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1, 3, 5, 8, 13, 20, 29, 42, 62, 91, 132, 192, 281, 410, 597, 870, 1269, 1851, 2698, 3933, 5735, 8362, 12191, 17774, 25915, 37784, 55088, 80317, 117102, 170734, 248927, 362932, 529151, 771496, 1124831, 1639989, 2391084, 3486171, 5082793, 7410648, 10804633, 15753020, 22967705, 33486626, 48823082, 71183443, 103784568
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,1,1,2,1,1,0,0,-1).
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FORMULA
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G.f.: (x+1)^2*(x^4+x^3+x^2+x+1)*(x^4+x^2+1)/(x^10-x^7-x^6-2*x^5-x^4-x^3+1).
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MATHEMATICA
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CoefficientList[Series[(x + 1)^2 (x^4 + x^3 + x^2 + x + 1) (x^4 + x^2 + 1) / (x^10 - x^7 - x^6 - 2 x^5 - x^4 - x^3 + 1), {x, 0, 45}], x] (* Vincenzo Librandi, Jan 20 2016 *)
LinearRecurrence[{0, 0, 1, 1, 2, 1, 1, 0, 0, -1}, {1, 3, 5, 8, 13, 20, 29, 42, 62, 91, 132}, 50] (* Harvey P. Dale, Jun 15 2022 *)
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PROG
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(PARI) Vec((x+1)^2*(x^4+x^3+x^2+x+1)*(x^4+x^2+1)/(x^10-x^7-x^6-2*x^5-x^4-x^3+1) + O(x^50)) \\ Michel Marcus, Jan 20 2016
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CROSSREFS
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Coordination sequences for triangular tilings of hyperbolic space: A001630, A007283, A054886, A078042, A096231, A163876, A179070, A265057, A265058, A265059, A265060, A265061, A265062, A265063, A265064, A265065, A265066, A265067, A265068, A265069, A265070, A265071, A265072, A265073, A265074, A265075, A265076, A265077.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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