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 A365760 #12 Sep 18 2023 08:59:32
%S A365760 1,1,1,1,1,2,8,29,85,211,469,1003,2263,5734,15926,45188,124730,330583,
%T A365760 850783,2175406,5650746,15064128,41006034,112492472,307511726,
%U A365760 833907512,2247908392,6056190352,16390505332,44659671982,122380777306,336326321179,924529751087
%N A365760 G.f. satisfies A(x) = 1 + x*A(x)*(1 + x^4*A(x)^5).
%F A365760 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k,k) * binomial(n+k+1,n-4*k) / (n+k+1) = Sum_{k=0..floor(n/5)} binomial(n+k,6*k) * binomial(6*k,k) / (5*k+1).
%o A365760 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k, k)*binomial(n+k+1, n-4*k)/(n+k+1));
%Y A365760 Cf. A364472, A364523, A365759, A365761.
%Y A365760 Cf. A365758.
%K A365760 nonn
%O A365760 0,6
%A A365760 _Seiichi Manyama_, Sep 18 2023