A063821 Growth series for fundamental group of orientable closed surface of genus 11.

1, 44, 1892, 81356, 3498308, 150427244, 6468371492, 278139974156, 11960018888708, 514280812214444, 22114074925221092, 950905221784506956, 40888924536733799108, 1758223755079553361644, 75603621468420794550692, 3250955723142094165679756

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_11, S_11; z).

Links

Colin Barker, Table of n, a(n) for n = 0..600

Index entries for linear recurrences with constant coefficients, signature (43,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-43,1).

Formula

G.f.: (1+x)*(1-x^22)/(1-43*x+43*x^22-x^23).

Mathematica

CoefficientList[Series[(1+x)(1-x^22)/(1-43x+43x^22-x^23), {x, 0, 30}], x] (* Harvey P. Dale, Aug 16 2011 *)

Prog

(PARI) Vec((1+x)*(1-x^22)/(1-43*x+43*x^22-x^23)+O(x^99)) \\ Charles R Greathouse IV, Jul 01 2013

Crossrefs

Sequence in context: A170629 A170677 A170725 * A170763 A218746 A158751

Adjacent sequences: A063818 A063819 A063820 * A063822 A063823 A063824

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved