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 A369158 #10 Jan 15 2024 09:03:24
%S A369158 1,2,5,14,43,142,495,1794,6686,25436,98311,384826,1522283,6075838,
%T A369158 24437937,98956270,403080170,1650502292,6790018182,28050896964,
%U A369158 116322826479,484029536374,2020386475025,8457397801150,35495812337114,149336478356692,629685490668799
%N A369158 Expansion of (1/x) * Series_Reversion( x / ((1+x)^2+x^4) ).
%H A369158 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369158 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} binomial(n+1,k) * binomial(2*n-2*k+2,n-4*k).
%o A369158 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^2+x^4))/x)
%o A369158 (PARI) a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(2*n-2*k+2, n-4*k))/(n+1);
%Y A369158 Cf. A127902, A369126, A369159.
%K A369158 nonn
%O A369158 0,2
%A A369158 _Seiichi Manyama_, Jan 15 2024