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 A369444 #12 Jan 23 2024 11:14:16
%S A369444 1,1,1,1,2,7,22,57,131,298,738,2003,5600,15380,41224,109769,296009,
%T A369444 813315,2261647,6305930,17554044,48851034,136350556,382408995,
%U A369444 1077164245,3042452536,8606495236,24377127256,69159381856,196600128592,559990599808,1597797525833
%N A369444 Expansion of (1/x) * Series_Reversion( x / ((1+x) * (1+x^4)) ).
%H A369444 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369444 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} binomial(n+1,k) * binomial(n+1,n-4*k).
%o A369444 (PARI) my(N=40, x='x+O('x^N)); Vec(serreverse(x/((1+x)*(1+x^4)))/x)
%o A369444 (PARI) a(n, s=4, t=1, u=1) = sum(k=0, n\s, binomial(t*(n+1), k)*binomial(u*(n+1), n-s*k))/(n+1);
%Y A369444 Cf. A036765, A198951.
%K A369444 nonn
%O A369444 0,5
%A A369444 _Seiichi Manyama_, Jan 23 2024