A357422 E.g.f. satisfies A(x) * exp(A(x)) = -log(1 - x * exp(A(x))).
0, 1, 1, 5, 34, 324, 3936, 58190, 1014056, 20354544, 462472800, 11733507312, 328809013776, 10086567702288, 336184985751720, 12097485061713480, 467445074411402496, 19303428522591336960, 848420150154305711616, 39543441411041750547648
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=1, n, (n-k)^(k-1)*abs(stirling(n, k, 1)));
Formula
a(n) = Sum_{k=1..n} (n-k)^(k-1) * |Stirling1(n,k)|.
E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(x))) ). - Seiichi Manyama, Sep 09 2024