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 A369102 #10 Jan 13 2024 10:45:04
%S A369102 1,4,26,204,1772,16408,158752,1585968,16235472,169423232,1795611168,
%T A369102 19275231872,209140483328,2289981517312,25271472702464,
%U A369102 280795784911616,3138701648319744,35270318924758016,398215386792574464,4515067063939210240,51388662166213954560
%N A369102 Expansion of (1/x) * Series_Reversion( x * ((1-x)^4-x^4) ).
%H A369102 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369102 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} binomial(n+k,k) * binomial(5*n+3,n-4*k).
%o A369102 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^4-x^4))/x)
%o A369102 (PARI) a(n) = sum(k=0, n\4, binomial(n+k, k)*binomial(5*n+3, n-4*k))/(n+1);
%Y A369102 Cf. A097188, A151374.
%Y A369102 Cf. A063021.
%K A369102 nonn
%O A369102 0,2
%A A369102 _Seiichi Manyama_, Jan 13 2024