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 A364740 #12 Aug 05 2023 13:12:52
%S A364740 1,1,3,15,91,607,4298,31720,241321,1879097,14903013,119965086,
%T A364740 977623639,8049579047,66864689674,559650696185,4715304229460,
%U A364740 39960204165865,340395043021399,2912963919210012,25031055321749916,215894227588453950,1868403327770467149
%N A364740 G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 - x*A(x)^5).
%F A364740 a(n) = (1/n) * Sum_{k=0..n-1} binomial(n,k) * binomial(2*n+3*k,n-1-k) for n > 0.
%o A364740 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, binomial(n, k)*binomial(2*n+3*k, n-1-k))/n);
%Y A364740 Cf. A001003, A001764, A219537, A364739.
%K A364740 nonn
%O A364740 0,3
%A A364740 _Seiichi Manyama_, Aug 05 2023