cp's OEIS Frontend

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.

A357422 E.g.f. satisfies A(x) * exp(A(x)) = -log(1 - x * exp(A(x))).

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%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