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 A366677 #13 Oct 16 2023 09:27:53 %S A366677 1,1,4,22,141,973,7112,54040,422552,3377770,27478568,226753828, %T A366677 1893462584,15969598554,135842638632,1164075017512,10039732285528, %U A366677 87081507756245,759128176746864,6647475055207618,58445784269830824,515745587816906733 %N A366677 G.f. satisfies A(x) = 1 + x^4 + x*A(x)^4. %F A366677 a(n) = Sum_{k=0..floor(n/4)} binomial(3*(n-4*k)+1,k) * binomial(4*(n-4*k),n-4*k)/(3*(n-4*k)+1). %o A366677 (PARI) a(n) = sum(k=0, n\4, binomial(3*(n-4*k)+1, k)*binomial(4*(n-4*k), n-4*k)/(3*(n-4*k)+1)); %Y A366677 Cf. A176697, A366676. %Y A366677 Cf. A366267, A366558. %K A366677 nonn %O A366677 0,3 %A A366677 _Seiichi Manyama_, Oct 16 2023