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Growth series for fundamental group of orientable closed surface of genus 8.
1

%I #9 Jun 13 2019 17:29:29

%S 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552,

%T 27292513198112,846067909141472,26228105183385632,813071260684954592,

%U 25205209081233592352,781361481518241362912,24222205927065482250272

%N Growth series for fundamental group of orientable closed surface of genus 8.

%D P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_8, S_8; z).

%H Colin Barker, <a href="/A063818/b063818.txt">Table of n, a(n) for n = 0..670</a>

%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-31,1).

%F G.f.: (1+x)*(1-x^16)/(1-31*x+31*x^16-x^17).

%t CoefficientList[Series[(1+x)(1-x^16)/(1-31x+31x^16-x^17),{x,0,30}],x] (* _Harvey P. Dale_, Oct 15 2013 *)

%o (PARI) Vec((1+x)*(1-x^16)/(1-31*x+31*x^16-x^17) + O(x^15)) \\ _Colin Barker_, Jun 13 2019

%K nonn,easy

%O 0,2

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