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 A365085 #11 Aug 21 2023 08:23:23
%S A365085 1,1,-1,-2,5,6,-30,-13,189,-56,-1188,1266,7194,-14377,-40183,135278,
%T A365085 188773,-1151800,-503880,9109076,-3419924,-67220176,80390824,
%U A365085 458183898,-998680470,-2794491329,10156144385,13919066170,-92250872385,-36047778330,769826420850,-339940775445
%N A365085 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^2.
%F A365085 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(n+k-1,n-k) / (n-k+1).
%o A365085 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*binomial(n+k-1, n-k)/(n-k+1));
%Y A365085 Cf. A090192, A365086, A365087, A365088.
%Y A365085 Cf. A106510, A364735.
%K A365085 sign
%O A365085 0,4
%A A365085 _Seiichi Manyama_, Aug 21 2023