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%I #17 Dec 27 2023 00:46:18
%S 1,15,160,1600,15856,156976,1553920,15382240,152268496,1507302736,
%T 14920758880,147700286080,1462082101936,14473120733296,
%U 143269125231040,1418218131577120,14038912190540176,138970903773824656,1375670125547706400,13617730351703239360
%N Expansion of (1+x)^4/(1-11*x+11*x^2-x^3).
%H Colin Barker, <a href="/A095685/b095685.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11,-11,1).
%F a(n) = 18*A072256(n)-2, n>1. - _R. J. Mathar_, Jan 11 2009
%F a(n) = -2+3*(5-2*sqrt(6))^n*(3+sqrt(6))-3*(-3+sqrt(6))*(5+2*sqrt(6))^n for n>1. - _Colin Barker_, Mar 05 2016
%t CoefficientList[Series[(1 + x)^4/(1 - 11*x + 11*x^2 - x^3), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Dec 27 2023 *)
%o (PARI) Vec((1+x)^4/(1-11*x+11*x^2-x^3) + O(x^25)) \\ _Colin Barker_, Mar 05 2016
%Y Cf. A072256.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Jul 04 2004
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