A063818 Growth series for fundamental group of orientable closed surface of genus 8.

1, 32, 992, 30752, 953312, 29552672, 916132832, 28400117792, 880403651552, 27292513198112, 846067909141472, 26228105183385632, 813071260684954592, 25205209081233592352, 781361481518241362912, 24222205927065482250272

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_8, S_8; z).

Links

Colin Barker, Table of n, a(n) for n = 0..670

Index entries for linear recurrences with constant coefficients, signature (31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-31,1).

Formula

G.f.: (1+x)*(1-x^16)/(1-31*x+31*x^16-x^17).

Mathematica

CoefficientList[Series[(1+x)(1-x^16)/(1-31x+31x^16-x^17), {x, 0, 30}], x] (* Harvey P. Dale, Oct 15 2013 *)

Prog

(PARI) Vec((1+x)*(1-x^16)/(1-31*x+31*x^16-x^17) + O(x^15)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A167085 A167382 A167757 * A167947 A168709 A168757

Adjacent sequences: A063815 A063816 A063817 * A063819 A063820 A063821

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved