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A265060 Coordination sequence for (2,4,5) tiling of hyperbolic plane. 27
1, 3, 5, 8, 12, 16, 21, 28, 36, 46, 60, 77, 98, 126, 162, 207, 265, 340, 435, 557, 714, 914, 1170, 1499, 1920, 2458, 3148, 4032, 5163, 6612, 8468, 10844, 13887, 17785, 22776, 29167, 37353, 47836, 61260, 78452, 100469, 128664, 164772, 211014, 270232, 346069, 443190, 567566, 726846, 930827, 1192053, 1526588 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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^4+x^3+x^2+x+1)/(x^8-x^5-x^4-x^3+1).
MATHEMATICA
CoefficientList[Series[(x + 1)^2 (x^2 + 1) (x^4 + x^3 + x^2 + x + 1)/(x^8 - x^5 - x^4 - x^3 + 1), {x, 0, 60}], x] (* Vincenzo Librandi, Dec 30 2015 *)
PROG
(PARI) x='x+O('x^50); Vec((x+1)^2*(x^2+1)*(x^4+x^3+x^2+x+1)/(x^8-x^5-x^4-x^3+1)) \\ G. C. Greubel, Aug 06 2017
CROSSREFS
Sequence in context: A000212 A183139 A094913 * A320849 A255981 A020678
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 29 2015
STATUS
approved

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Last modified March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)