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A063815 Growth series for fundamental group of orientable closed surface of genus 5. 1

%I #6 Jun 13 2019 12:54:44

%S 1,20,380,7220,137180,2606420,49521980,940917620,17877434780,

%T 339671260820,6453753955560,122621325155260,2329805177942740,

%U 44266298380775260,841059669232130740,15980133715361099260,303622540590922574740

%N Growth series for fundamental group of orientable closed surface of genus 5.

%D P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_5, S_5; z).

%H Colin Barker, <a href="/A063815/b063815.txt">Table of n, a(n) for n = 0..780</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (19,0,0,0,0,0,0,0,0,-19,1).

%F G.f.: (1+x)*(1-x^10)/(1-19*x+19*x^10-x^11).

%F a(n) = 19*a(n-1) - 19*a(n-10) + a(n-11) for n>11. - _Colin Barker_, Jun 13 2019

%o (PARI) Vec((1+x)*(1-x^10)/(1-19*x+19*x^10-x^11) + O(x^20)) \\ _Colin Barker_, Jun 13 2019

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Aug 21 2001

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)