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 A377190 #9 Oct 19 2024 08:31:44
%S A377190 1,0,14,14,126,252,1050,2772,8778,24948,72072,204204,570570,1585584,
%T A377190 4351776,11879868,32162130,86582496,231703472,616900284,1634721088,
%U A377190 4312944064,11333823228,29673291648,77423101938,201367680696,522180220044,1350350044316,3482928560880
%N A377190 Expansion of 1/(1 - 4*x^2 - 4*x^3)^(7/2).
%F A377190 a(0) = 1, a(1) = 0, a(2) = 14; a(n) = (4*(n+5)*a(n-2) + 2*(2*n+15)*a(n-3))/n.
%F A377190 a(n) = Sum_{k=0..floor(n/2)} (-4)^k * binomial(-7/2,k) * binomial(k,n-2*k).
%o A377190 (PARI) a(n) = sum(k=0, n\2, (-4)^k*binomial(-7/2, k)*binomial(k, n-2*k));
%Y A377190 Cf. A115962, A377186, A377189.
%Y A377190 Cf. A374513.
%K A377190 nonn
%O A377190 0,3
%A A377190 _Seiichi Manyama_, Oct 19 2024