A063816 Growth series for fundamental group of orientable closed surface of genus 6.

1, 24, 552, 12696, 292008, 6716184, 154472232, 3552861336, 81715810728, 1879463646744, 43227663875112, 994236269127576, 22867434189934224, 525950986368486600, 12096872686475179128, 278228071788928828488

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_6, S_6; z).

Links

Colin Barker, Table of n, a(n) for n = 0..700

Index entries for linear recurrences with constant coefficients, signature (23,0,0,0,0,0,0,0,0,0,0,-23,1).

Formula

G.f.: (1+x)*(1-x^12)/(1-23*x+23*x^12-x^13).

a(n) = 23*a(n-1) - 23*a(n-12) + a(n-13) for n>13. - Colin Barker, Jun 13 2019

Prog

(PARI) Vec((1+x)*(1-x^12)/(1-23*x+23*x^12-x^13) + O(x^20)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A165965 A166418 A166611 * A167077 A167183 A167695

Adjacent sequences: A063813 A063814 A063815 * A063817 A063818 A063819

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved