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 A365756 #8 Sep 18 2023 08:58:59
%S A365756 1,1,1,1,2,7,22,58,142,363,1014,2966,8645,24824,71189,206742,609159,
%T A365756 1809493,5388804,16073002,48092377,144532884,436168716,1320372837,
%U A365756 4006489208,12183544414,37132838866,113426618425,347191793705,1064688271730,3270387354434
%N A365756 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^3*A(x)^4).
%F A365756 a(n) = Sum_{k=0..floor(n/3)} binomial(n-2*k-1,k) * binomial(n+k+1,n-3*k) / (n+k+1).
%o A365756 (PARI) a(n) = sum(k=0, n\3, binomial(n-2*k-1, k)*binomial(n+k+1, n-3*k)/(n+k+1));
%Y A365756 Cf. A023432, A212383, A365243, A365757.
%Y A365756 Cf. A063019.
%K A365756 nonn
%O A365756 0,5
%A A365756 _Seiichi Manyama_, Sep 18 2023