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A063818
Growth series for fundamental group of orientable closed surface of genus 8.
1
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
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 21 2001
STATUS
approved