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 A369688 #10 Jan 29 2024 09:00:19
%S A369688 1,1,2,4,12,36,126,442,1644,6172,23801,92731,366688,1462852,5891808,
%T A369688 23898576,97600556,400844140,1654818768,6862550360,28576414261,
%U A369688 119434041561,500849380048,2106740001442,8886482895068,37580609774876,159303913630686
%N A369688 G.f. satisfies A(x) = 1 + x*A(x) + x^2*(1-x)^3*A(x)^5.
%F A369688 a(n) = Sum_{k=0..floor(n/2)} binomial(n,2*k) * binomial(5*k,k) / (4*k+1).
%o A369688 (PARI) a(n) = sum(k=0, n\2, binomial(n, 2*k)*binomial(5*k, k)/(4*k+1));
%Y A369688 Cf. A227035, A346647, A364522, A364597.
%Y A369688 Cf. A049130, A364594.
%K A369688 nonn
%O A369688 0,3
%A A369688 _Seiichi Manyama_, Jan 28 2024