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A063822
Growth series for fundamental group of orientable closed surface of genus 12.
1
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
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 21 2001
STATUS
approved