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%I #15 Feb 20 2024 16:12:23
%S 1,3,5,8,13,19,26,37,53,74,103,145,204,285,399,560,785,1099,1540,2159,
%T 3025,4238,5939,8323,11662,16341,22899,32088,44963,63005,88288,123715,
%U 173357,242920,340397,476987,668386,936589,1312413,1839042,2576991,3611057,5060060,7090501,9935695,13922576,19509265,27337715
%N Coordination sequence for (2,5,5) tiling of hyperbolic plane.
%H G. C. Greubel, <a href="/A265064/b265064.txt">Table of n, a(n) for n = 0..1000</a>
%H J. W. Cannon, P. Wagreich, <a href="http://dx.doi.org/10.1007/BF01444714">Growth functions of surface groups</a>, Mathematische Annalen, 1992, Volume 293, pp. 239-257. See Prop. 3.1.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 1, 1, 0, -1).
%F G.f.: (x^4+x^3+x^2+x+1)*(x+1)^2/(x^6-x^4-x^3-x^2+1).
%t CoefficientList[Series[(x^4 + x^3 + x^2 + x + 1) (x + 1)^2 / (x^6 - x^4 - x^3 - x^2 + 1), {x, 0, 45}], x] (* _Vincenzo Librandi_, Jan 20 2016 *)
%o (PARI) Vec((x^4+x^3+x^2+x+1)*(x+1)^2/(x^6-x^4-x^3-x^2+1) + O(x^50)) \\ _Michel Marcus_, Jan 20 2016
%Y 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.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Dec 29 2015
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