login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A265064 Coordination sequence for (2,5,5) tiling of hyperbolic plane. 27
1, 3, 5, 8, 13, 19, 26, 37, 53, 74, 103, 145, 204, 285, 399, 560, 785, 1099, 1540, 2159, 3025, 4238, 5939, 8323, 11662, 16341, 22899, 32088, 44963, 63005, 88288, 123715, 173357, 242920, 340397, 476987, 668386, 936589, 1312413, 1839042, 2576991, 3611057, 5060060, 7090501, 9935695, 13922576, 19509265, 27337715 (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^4+x^3+x^2+x+1)*(x+1)^2/(x^6-x^4-x^3-x^2+1).

MATHEMATICA

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 *)

PROG

(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

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: A310037 A104563 A261175 * A030762 A023500 A035421

Adjacent sequences:  A265061 A265062 A265063 * A265065 A265066 A265067

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 29 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 22 22:19 EDT 2021. Contains 343197 sequences. (Running on oeis4.)