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 A364051 #26 Aug 06 2023 11:04:41
%S A364051 1,1,1,-3,-21,-41,166,1460,3445,-13503,-136721,-364412,1285021,
%T A364051 14694643,43144726,-132548857,-1709480698,-5456400119,14285376285,
%U A364051 209281385564,720201663662,-1572818128366,-26541960203077,-97918748134874,173825501585400,3453517916428141
%N A364051 G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 + x*A(x)^5).
%F A364051 a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(2*n+3*k,n-1-k) for n > 0.
%o A364051 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(2*n+3*k, n-1-k))/n);
%Y A364051 Cf. A291534, A363982, A364764.
%Y A364051 Cf. A364740.
%K A364051 sign
%O A364051 0,4
%A A364051 _Seiichi Manyama_, Aug 05 2023