A063815 Growth series for fundamental group of orientable closed surface of genus 5.

1, 20, 380, 7220, 137180, 2606420, 49521980, 940917620, 17877434780, 339671260820, 6453753955560, 122621325155260, 2329805177942740, 44266298380775260, 841059669232130740, 15980133715361099260, 303622540590922574740

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_5, S_5; z).

Links

Colin Barker, Table of n, a(n) for n = 0..780

Index entries for linear recurrences with constant coefficients, signature (19,0,0,0,0,0,0,0,0,-19,1).

Formula

G.f.: (1+x)*(1-x^10)/(1-19*x+19*x^10-x^11).

a(n) = 19*a(n-1) - 19*a(n-10) + a(n-11) for n>11. - Colin Barker, Jun 13 2019

Prog

(PARI) Vec((1+x)*(1-x^10)/(1-19*x+19*x^10-x^11) + O(x^20)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A164911 A165348 A165882 * A166414 A166601 A167073

Adjacent sequences: A063812 A063813 A063814 * A063816 A063817 A063818

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved