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A063816 Growth series for fundamental group of orientable closed surface of genus 6. 1

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

%S 1,24,552,12696,292008,6716184,154472232,3552861336,81715810728,

%T 1879463646744,43227663875112,994236269127576,22867434189934224,

%U 525950986368486600,12096872686475179128,278228071788928828488

%N Growth series for fundamental group of orientable closed surface of genus 6.

%D P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, Sigma(Gamma_6, S_6; z).

%H Colin Barker, <a href="/A063816/b063816.txt">Table of n, a(n) for n = 0..700</a>

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (23,0,0,0,0,0,0,0,0,0,0,-23,1).

%F G.f.: (1+x)*(1-x^12)/(1-23*x+23*x^12-x^13).

%F a(n) = 23*a(n-1) - 23*a(n-12) + a(n-13) for n>13. - _Colin Barker_, Jun 13 2019

%o (PARI) Vec((1+x)*(1-x^12)/(1-23*x+23*x^12-x^13) + 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 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)