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 A365701 #9 Sep 16 2023 10:43:36
%S A365701 1,0,0,0,0,1,1,1,1,1,5,10,16,23,31,62,128,243,423,686,1192,2223,4223,
%T A365701 7843,13991,24856,45108,83673,156223,288535,527971,966803,1784663,
%U A365701 3319988,6183424,11483613,21284475,39499855,73558147,137347615,256616567,479231240
%N A365701 G.f. satisfies A(x) = 1 + x^5*A(x)^4 / (1 - x*A(x)).
%F A365701 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,n-5*k) * binomial(n-k+1,k) / (n-k+1).
%o A365701 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, n-5*k)*binomial(n-k+1, k)/(n-k+1));
%Y A365701 Cf. A212364, A365698, A365699, A365700, A365702.
%K A365701 nonn
%O A365701 0,11
%A A365701 _Seiichi Manyama_, Sep 16 2023