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 A365079 #27 Aug 29 2023 08:52:50
%S A365079 1,1,1,1,1,2,6,16,36,71,131,247,511,1156,2696,6172,13664,29563,63871,
%T A365079 140341,315185,717962,1639822,3728276,8432696,19047924,43166420,
%U A365079 98378502,225355290,517683270,1190034046,2735049866,6287002806,14467864356,33355524916
%N A365079 G.f. satisfies A(x) = 1 + x*A(x)*(1 + x^4*A(x)^3).
%F A365079 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k,k) * binomial(n-k+1,n-4*k)/(n-k+1).
%o A365079 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k, k)*binomial(n-k+1, n-4*k)/(n-k+1));
%Y A365079 Cf. A127902, A186996, A215340.
%K A365079 nonn
%O A365079 0,6
%A A365079 _Seiichi Manyama_, Aug 29 2023