A063822 Growth series for fundamental group of orientable closed surface of genus 12.

1, 48, 2256, 106032, 4983504, 234224688, 11008560336, 517402335792, 24317909782224, 1142941759764528, 53718262708932816, 2524758347319842352, 118663642324032590544, 5577191189229531755568, 262127985893787992511696, 12320015337008035648049712

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_12, S_12; z).

Links

Colin Barker, Table of n, a(n) for n = 0..590

Index entries for linear recurrences with constant coefficients, signature (47,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-47,1).

Formula

G.f.: (1+x)*(1-x^24)/(1-47*x+47*x^24-x^25).

a(n) = 47*a(n-1) - 47*a(n-24) + a(n-25). - Wesley Ivan Hurt, Mar 15 2023

Prog

(PARI) Vec((1+x)*(1-x^24)/(1-47*x+47*x^24-x^25) + O(x^15)) \\ Colin Barker, Jun 13 2019

Crossrefs

Sequence in context: A170633 A170681 A170729 * A170767 A218750 A263504

Adjacent sequences: A063819 A063820 A063821 * A063823 A063824 A063825

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 21 2001

Status

approved