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 A365086 #10 Aug 21 2023 08:23:19
%S A365086 1,1,-2,-2,15,-4,-122,204,903,-3374,-4635,43539,-13233,-475123,873392,
%T A365086 4244591,-16906773,-24952174,244162840,-74520792,-2901715074,
%U A365086 5483226036,27740164293,-112969486284,-172903931727,1714556657881,-513739179725,-21235809823325
%N A365086 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^3.
%F A365086 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(n+2*k-1,n-k) / (n-k+1).
%o A365086 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*binomial(n+2*k-1, n-k)/(n-k+1));
%Y A365086 Cf. A090192, A365085, A365087, A365088.
%Y A365086 Cf. A127896, A161797, A364736.
%K A365086 sign
%O A365086 0,3
%A A365086 _Seiichi Manyama_, Aug 21 2023