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A265061
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Coordination sequence for (2,4,6) tiling of hyperbolic plane.
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27
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1, 3, 5, 8, 12, 17, 24, 33, 45, 61, 83, 114, 155, 210, 286, 389, 529, 720, 979, 1331, 1810, 2462, 3349, 4554, 6193, 8423, 11455, 15579, 21188, 28815, 39188, 53296, 72483, 98577, 134064, 182327, 247965, 337232, 458636, 623745, 848292, 1153677, 1569001, 2133841, 2902023, 3946750, 5367579, 7299906, 9927870, 13501901
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (x+1)^2*(x^2+1)*(x^4+x^2+1)/(x^8-x^7+x^6-2*x^5+x^4-2*x^3+x^2-x+1).
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MATHEMATICA
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CoefficientList[Series[(x + 1)^2 (x^2 + 1) (x^4 + x^2 + 1)/(x^8 - x^7 + x^6 - 2 x^5 + x^4 - 2 x^3 + x^2 - x + 1), {x, 0, 60}], x] (* Vincenzo Librandi, Dec 30 2015 *)
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PROG
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(PARI) Vec((x+1)^2*(x^2+1)*(x^4+x^2+1)/(x^8-x^7+x^6-2*x^5+x^4-2*x^3+x^2-x+1) + O(x^100)) \\ Altug Alkan, Dec 29 2015
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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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