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

Author

N. J. A. Sloane, Aug 21 2001

Keywords

• easy
• nonn

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).

Programs

PARI

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

Formula

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