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A265058
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Coordination sequence for (2,3,8) tiling of hyperbolic plane.
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27
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1, 3, 5, 7, 9, 12, 16, 21, 27, 33, 40, 49, 61, 76, 94, 116, 142, 174, 214, 264, 326, 401, 493, 606, 745, 917, 1129, 1390, 1710, 2103, 2587, 3183, 3917, 4820, 5931, 7297, 8977, 11045, 13590, 16722, 20575, 25315, 31147, 38322, 47151, 58015, 71382, 87828, 108062, 132958, 163590, 201280, 247654
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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, 0, 1, 0, 1, 0, 0, -1).
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FORMULA
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G.f.: (x+1)^2*(x^2+x+1)*(x^6+x^4+x^2+1)/(x^10-x^7-x^5-x^3+1).
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MATHEMATICA
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CoefficientList[Series[(x + 1)^2 (x^2 + x + 1) (x^6 + x^4 + x^2 + 1)/(x^10 - x^7 - x^5 - x^3 + 1), {x, 0, 60}], x] (* Vincenzo Librandi, Dec 30 2015 *)
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PROG
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(PARI) x='x+O('x^50); Vec((x+1)^2*(x^2+x+1)*(x^6+x^4+x^2+1)/(x^10-x^7-x^5-x^3+1)) \\ G. C. Greubel, Aug 06 2017
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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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