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 A365225 #10 Aug 27 2023 04:39:06
%S A365225 1,1,4,24,169,1301,10605,89963,785943,7023148,63892489,589771350,
%T A365225 5509967214,52001860377,495048989686,4748144843341,45838627944500,
%U A365225 445072967642096,4343508043479012,42581707009501604,419158119684986781,4141270208611084284
%N A365225 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 + x*A(x)^2).
%F A365225 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(2*n+3*k+1,k) * binomial(n-1,n-k)/(2*n+3*k+1).
%o A365225 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(2*n+3*k+1, k)*binomial(n-1, n-k)/(2*n+3*k+1));
%Y A365225 Cf. A002293, A271469, A349361, A364759, A364866, A365226.
%K A365225 nonn
%O A365225 0,3
%A A365225 _Seiichi Manyama_, Aug 27 2023