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 A357422 #13 Sep 09 2024 09:34:10 %S A357422 0,1,1,5,34,324,3936,58190,1014056,20354544,462472800,11733507312, %T A357422 328809013776,10086567702288,336184985751720,12097485061713480, %U A357422 467445074411402496,19303428522591336960,848420150154305711616,39543441411041750547648 %N A357422 E.g.f. satisfies A(x) * exp(A(x)) = -log(1 - x * exp(A(x))). %H A357422 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A357422 a(n) = Sum_{k=1..n} (n-k)^(k-1) * |Stirling1(n,k)|. %F A357422 E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(x))) ). - _Seiichi Manyama_, Sep 09 2024 %o A357422 (PARI) a(n) = sum(k=1, n, (n-k)^(k-1)*abs(stirling(n, k, 1))); %Y A357422 Cf. A006963, A357343, A357344, A357345. %Y A357422 Cf. A141209. %K A357422 nonn %O A357422 0,4 %A A357422 _Seiichi Manyama_, Sep 27 2022