%I #30 May 05 2024 08:55:42
%S 1,26,676,17576,456974,11881272,308911722,8031669672,208822498874,
%T 5429361243280,141162775414434,3670216121163384,95425202122161082,
%U 2481044412493313472,64506872816303408306,1677171363634329163848,43606264885996836679850,1133757932276682326501264,29477577416016603603796450,766413663428463660467554840
%N Expansion of (1+x^2)/(1-26*x+x^2-26*x^3+2*x^4).
%H Vincenzo Librandi, <a href="/A188696/b188696.txt">Table of n, a(n) for n = 0..700</a>
%H J. Noonan and D. Zeilberger, <a href="https://arxiv.org/abs/math/9806036">The Goulden-Jackson cluster method: extensions, applications and implementations</a>, arXiv:math/9806036 [math.CO], 1998.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (26,-1,26,-2).
%t CoefficientList[Series[(1 + x^2)/(1 - 26*x + x^2 - 26*x^3 + 2*x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 09 2012 *)
%o (Maxima) makelist(coeff(taylor((1+x^2)/(1-26*x+x^2-26*x^3+2*x^4), x, 0, n), x, n), n, 0, 19); /* _Bruno Berselli_, Jun 05 2011 */
%o (PARI) Vec((1+x^2)/(1-26*x+x^2-26*x^3+2*x^4)+O(x^99)) \\ _Charles R Greathouse IV_, Jun 05, 2011
%Y Cf. A188697.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Apr 08 2011