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 A365112 #9 Aug 22 2023 07:57:03
%S A365112 1,1,-5,10,20,-220,624,940,-15220,52090,49310,-1254070,4951430,
%T A365112 2039640,-113088840,505430700,-42379684,-10748423405,53899438385,
%U A365112 -29300595085,-1054751754795,5914944193114,-5760460624890,-105478270711140,661900612108440,-914408777470140
%N A365112 G.f. satisfies A(x) = 1 + x / (1 + x*A(x))^5.
%F A365112 If g.f. satisfies A(x) = 1 + x/(1 + x*A(x))^s, then a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n-k+1,k) * binomial(n+(s-1)*k-1,n-k)/(n-k+1).
%o A365112 (PARI) a(n, s=5) = sum(k=0, n, (-1)^(n-k)*binomial(n-k+1, k)*binomial(n+(s-1)*k-1, n-k)/(n-k+1));
%Y A365112 Cf. A007440, A365109, A365110, A365111.
%Y A365112 Cf. A365088.
%K A365112 sign
%O A365112 0,3
%A A365112 _Seiichi Manyama_, Aug 22 2023