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 A364593 #9 Jul 29 2023 10:49:47
%S A364593 1,1,2,3,7,14,36,85,228,587,1612,4354,12166,33832,95876,271803,779287,
%T A364593 2239584,6483386,18823945,54932299,160771540,472322632,1391323310,
%U A364593 4110685812,12173949214,36141795088,107521223008,320531857144,957289637952,2864055208772
%N A364593 G.f. satisfies A(x) = 1/(1-x) + x^2*(1-x)*A(x)^3.
%F A364593 a(n) = Sum_{k=0..floor(n/2)} binomial(n-k,k) * binomial(3*k,k) / (2*k+1).
%o A364593 (PARI) a(n) = sum(k=0, n\2, binomial(n-k, k)*binomial(3*k, k)/(2*k+1));
%Y A364593 Cf. A110199, A364594.
%K A364593 nonn,easy
%O A364593 0,3
%A A364593 _Seiichi Manyama_, Jul 29 2023