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 A349589 #14 Nov 25 2021 08:52:13
%S A349589 1,1,0,-4,-3,87,230,-4583,-27216,434928,4871719,-62913079,-1240374960,
%T A349589 12230778601,426135019232,-2759957884648,-189393687667107,
%U A349589 479371576805751,105233549909615798,233116575802412969,-71022416772836562008,-574100485456271792020
%N A349589 E.g.f. satisfies: A(x) * log(A(x)) = 1 - exp(-x*A(x)).
%H A349589 Seiichi Manyama, <a href="/A349589/b349589.txt">Table of n, a(n) for n = 0..425</a>
%F A349589 a(n) = Sum_{k=0..n} (-1)^(n-k) * (n-k+1)^(k-1) * Stirling2(n,k).
%t A349589 a[n_] := Sum[(-1)^(n - k)*(n - k + 1)^(k - 1)*StirlingS2[n, k], {k, 0, n}]; Array[a, 22, 0] (* _Amiram Eldar_, Nov 23 2021 *)
%o A349589 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*(n-k+1)^(k-1)*stirling(n, k, 2));
%Y A349589 Cf. A141209, A349587, A349588.
%Y A349589 Cf. A349558.
%K A349589 sign
%O A349589 0,4
%A A349589 _Seiichi Manyama_, Nov 22 2021