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 A265062 Coordination sequence for (2,4,7) tiling of hyperbolic plane. 27
 1, 3, 5, 8, 12, 17, 25, 36, 50, 70, 98, 137, 193, 271, 379, 531, 744, 1042, 1461, 2048, 2869, 4020, 5633, 7893, 11061, 15500, 21719, 30434, 42646, 59758, 83738, 117340, 164424, 230402, 322855, 452406, 633943, 888325, 1244781, 1744272, 2444193, 3424970, 4799303, 6725112, 9423686, 13205113, 18503907, 25928939, 36333403 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 J. W. Cannon, P. Wagreich, Growth functions of surface groups, Mathematische Annalen, 1992, Volume 293, pp. 239-257. See Prop. 3.1. FORMULA G.f.: (x+1)^2*(x^2+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^7-x^6-x^5-x^4-x^3+1). MATHEMATICA CoefficientList[Series[(x + 1)^2 (x^2 + 1) (x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)/(x^10 - x^7 - x^6 - x^5 - x^4 - x^3 + 1), {x, 0, 50}], x] (* Vincenzo Librandi, Dec 31 2015 *) PROG (PARI) Vec((x+1)^2*(x^2+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^7-x^6-x^5-x^4-x^3+1) + O(x^50)) \\ Michel Marcus, Dec 31 2015 CROSSREFS 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. Sequence in context: A018917 A167385 A265061 * A265063 A098202 A164653 Adjacent sequences:  A265059 A265060 A265061 * A265063 A265064 A265065 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 29 2015 STATUS approved

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Last modified November 17 08:17 EST 2018. Contains 317275 sequences. (Running on oeis4.)