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 A330150 #8 Dec 20 2023 08:03:17
%S A330150 1,0,0,1,-1,8,-16,159,-659,6824,-46680,517581,-4941685,61043344,
%T A330150 -735256328,10269016939,-147207286503,2322683458544,-38298239486672,
%U A330150 677630804946393,-12581447014620585,247342217288517496,-5096876494438056928,110338442309322274295
%N A330150 Expansion of e.g.f. exp(-x) / (1 - log(1 + x)).
%C A330150 Inverse binomial transform of A006252.
%F A330150 a(n) = Sum_{k=0..n} (-1)^(n - k) * binomial(n,k) * A006252(k).
%F A330150 a(n) = (-1)^n + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k). - _Seiichi Manyama_, Dec 19 2023
%t A330150 nmax = 23; CoefficientList[Series[Exp[-x]/(1 - Log[1 + x]), {x, 0, nmax}], x] Range[0, nmax]!
%Y A330150 Cf. A052841, A330149.
%Y A330150 Cf. A006252, A291981.
%K A330150 sign
%O A330150 0,6
%A A330150 _Ilya Gutkovskiy_, Dec 03 2019