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 A365186 #9 Aug 25 2023 09:44:01
%S A365186 1,1,6,47,428,4241,44407,483358,5414618,62014112,722870120,8547768832,
%T A365186 102284029963,1236274747490,15070955944288,185089043535730,
%U A365186 2287843817573898,28440852786725695,355345599519983962,4459821165693379625,56200963128262312342
%N A365186 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^2).
%F A365186 a(n) = Sum_{k=0..n} binomial(2*n+3*k+1,k) * binomial(k,n-k)/(2*n+3*k+1).
%o A365186 (PARI) a(n) = sum(k=0, n, binomial(2*n+3*k+1, k)*binomial(k, n-k)/(2*n+3*k+1));
%Y A365186 Cf. A002295, A365184, A365185, A365187, A365188, A365189.
%Y A365186 Cf. A365192.
%K A365186 nonn
%O A365186 0,3
%A A365186 _Seiichi Manyama_, Aug 25 2023