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 A364522 #25 Jul 12 2024 09:52:08
%S A364522 1,1,1,1,1,2,7,22,57,127,258,518,1123,2718,7008,18054,44969,108189,
%T A364522 255919,609179,1482210,3689155,9294440,23419705,58639835,145948111,
%U A364522 362721386,904673836,2270287636,5729191861,14502873988,36735974548,93001413353,235372519273
%N A364522 G.f. satisfies A(x) = 1 + x*A(x) + x^5*A(x)^5.
%C A364522 Number of ordered trees with n edges and having nonleaf nodes of outdegrees 1 or 5. - _Emanuele Munarini_, Jul 11 2024
%H A364522 Seiichi Manyama, <a href="/A364522/b364522.txt">Table of n, a(n) for n = 0..1000</a>
%F A364522 a(n) = Sum_{k=0..floor(n/5)} binomial(n,5*k) * binomial(5*k,k) / (4*k+1).
%o A364522 (PARI) a(n) = sum(k=0, n\5, binomial(n, 5*k)*binomial(5*k, k)/(4*k+1));
%Y A364522 Cf. A001006, A071879, A127902, A364523.
%Y A364522 Cf. A182454, A349311.
%K A364522 nonn
%O A364522 0,6
%A A364522 _Seiichi Manyama_, Jul 27 2023