A357343 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(A(x)).
0, 1, 5, 53, 878, 19904, 573984, 20112770, 829953368, 39425517072, 2119169565120, 127163052628512, 8426599011632592, 611181716437826832, 48159349246147915944, 4096752391897622411880, 374189567290578072309504, 36525100459236757201316352
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