login
A063816
Growth series for fundamental group of orientable closed surface of genus 6.
1
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
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 21 2001
STATUS
approved