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 A365187 #9 Aug 25 2023 10:00:18 %S A365187 1,1,6,48,446,4511,48218,535800,6127598,71648868,852668952, %T A365187 10293847592,125759270354,1551872951050,19314892116764, %U A365187 242182938963024,3056337851481678,38790948190319404,494825459824571528,6340628082364678016,81577931200018721464 %N A365187 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^3). %F A365187 a(n) = Sum_{k=0..n} binomial(3*n+2*k+1,k) * binomial(k,n-k)/(3*n+2*k+1). %o A365187 (PARI) a(n) = sum(k=0, n, binomial(3*n+2*k+1, k)*binomial(k, n-k)/(3*n+2*k+1)); %Y A365187 Cf. A002295, A365184, A365185, A365186, A365188, A365189. %Y A365187 Cf. A365193. %K A365187 nonn %O A365187 0,3 %A A365187 _Seiichi Manyama_, Aug 25 2023