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 A369443 #10 Jan 23 2024 11:14:21
%S A369443 1,2,5,15,52,198,796,3306,14042,60698,266235,1182315,5306085,24028162,
%T A369443 109654887,503797703,2328343326,10816971516,50487762906,236635814984,
%U A369443 1113297830297,5255647026534,24888156618738,118194065746758,562773777767295,2686074452484012
%N A369443 Expansion of (1/x) * Series_Reversion( x / ((1+x)^2 * (1+x^3)) ).
%H A369443 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369443 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} binomial(n+1,k) * binomial(2*n+2,n-3*k).
%o A369443 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^2*(1+x^3)))/x)
%o A369443 (PARI) a(n, s=3, t=1, u=2) = sum(k=0, n\s, binomial(t*(n+1), k)*binomial(u*(n+1), n-s*k))/(n+1);
%Y A369443 Cf. A198951.
%K A369443 nonn
%O A369443 0,2
%A A369443 _Seiichi Manyama_, Jan 23 2024