A063817 Growth series for fundamental group of orientable closed surface of genus 7.

1, 28, 756, 20412, 551124, 14880348, 401769396, 10847773692, 292889889684, 7908027021468, 213516729579636, 5764951698650172, 155653695863554644, 4202649788315975388, 113471544284531335448, 3063731695682346056340

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_7, S_7; z).

Links

Colin Barker, Table of n, a(n) for n = 0..698

Index entries for linear recurrences with constant coefficients, signature (27,0,0,0,0,0,0,0,0,0,0,0,0,-27,1).

Formula

G.f.: (1+x)*(1-x^14)/(1-27*x+27*x^14-x^15).

Prog

(PARI) Vec((1+x)*(1-x^14)/(1-27*x+27*x^14-x^15) + O(x^15)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A166615 A167081 A167235 * A167699 A167943 A168705

Adjacent sequences: A063814 A063815 A063816 * A063818 A063819 A063820

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved