A063820 Growth series for fundamental group of orientable closed surface of genus 10.

1, 40, 1560, 60840, 2372760, 92537640, 3608967960, 140749750440, 5489240267160, 214080370419240, 8349134446350360, 325616243407664040, 12699033492898897560, 495262306223057004840, 19315229942699223188760, 753293967765269704361640

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_10, S_10; z).

Links

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

Index entries for linear recurrences with constant coefficients, signature (39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-39,1).

Formula

G.f.: (1+x)*(1-x^20)/(1-39*x+39*x^20-x^21).

Prog

(PARI) Vec((1+x)*(1-x^20)/(1-39*x+39*x^20-x^21) + O(x^15)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A170625 A170673 A170721 * A170759 A218742 A158703

Adjacent sequences: A063817 A063818 A063819 * A063821 A063822 A063823

Keyword

easy,nonn

Author

N. J. A. Sloane, Aug 21 2001

Status

approved