This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A376725 #13 Oct 03 2024 13:22:04
%S A376725 1,0,0,0,2,2,0,0,3,10,3,0,4,28,28,4,5,60,126,60,11,110,396,396,117,
%T A376725 188,1001,1716,1009,462,2191,5720,5729,2592,4564,15920,24320,16482,
%U A376725 12036,39168,84000,84750,51927,93024,249292,353738,269962,258324,666932,1250142
%N A376725 Expansion of 1/((1 - x^4 - x^5)^2 - 4*x^9).
%H A376725 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,2,2,0,0,-1,2,-1).
%F A376725 a(n) = 2*a(n-4) + 2*a(n-5) - a(n-8) + 2*a(n-9) - a(n-10).
%F A376725 a(n) = (1/2) * Sum_{k=0..floor(n/4)} binomial(2*k+2,2*n-8*k+1).
%o A376725 (PARI) my(N=50, x='x+O('x^N)); Vec(1/((1-x^4-x^5)^2-4*x^9))
%o A376725 (PARI) a(n) = sum(k=0, n\4, binomial(2*k+2, 2*n-8*k+1))/2;
%Y A376725 Cf. A182890, A376723, A376724.
%Y A376725 Cf. A376728, A376731.
%K A376725 nonn
%O A376725 0,5
%A A376725 _Seiichi Manyama_, Oct 02 2024