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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.

A365088 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^5.

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%I A365088 #11 Aug 21 2023 08:23:11
%S A365088 1,1,-4,1,46,-129,-405,3319,-1617,-59258,199541,642170,-6038395,
%T A365088 3886091,119884973,-440626784,-1367688245,14055527190,-11043763380,
%U A365088 -290488387366,1137260033731,3336325340735,-36966844508130,34098313310315,776097820004580
%N A365088 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^5.
%F A365088 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(n+4*k-1,n-k) / (n-k+1).
%o A365088 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*binomial(n+4*k-1, n-k)/(n-k+1));
%Y A365088 Cf. A090192, A365085, A365086, A365087.
%Y A365088 Cf. A321799, A364738, A365084.
%K A365088 sign
%O A365088 0,3
%A A365088 _Seiichi Manyama_, Aug 21 2023