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 A364523 #26 Jul 12 2024 09:52:03
%S A364523 1,1,1,1,1,1,2,8,29,85,211,463,931,1795,3550,7736,18929,49505,130000,
%T A364523 330430,804271,1885675,4327555,9929515,23224435,55907251,138016906,
%U A364523 345107296,862546231,2136402451,5231163232,12697101118,30723857209,74569942745
%N A364523 G.f. satisfies A(x) = 1 + x*A(x) + x^6*A(x)^6.
%C A364523 Number of ordered trees with n edges and having nonleaf nodes of outdegrees 1 or 6. - _Emanuele Munarini_, Jul 11 2024
%H A364523 Seiichi Manyama, <a href="/A364523/b364523.txt">Table of n, a(n) for n = 0..1000</a>
%F A364523 a(n) = Sum_{k=0..floor(n/6)} binomial(n,6*k) * binomial(6*k,k) / (5*k+1).
%o A364523 (PARI) a(n) = sum(k=0, n\6, binomial(n, 6*k)*binomial(6*k, k)/(5*k+1));
%Y A364523 Cf. A001006, A071879, A127902, A364522.
%Y A364523 Cf. A349312, A364472.
%K A364523 nonn
%O A364523 0,7
%A A364523 _Seiichi Manyama_, Jul 27 2023