A355764 E.g.f. satisfies log(A(x)) = (1 - exp(-x*A(x))) * A(x)^2.
1, 1, 6, 77, 1533, 41547, 1427789, 59501185, 2916185862, 164377512831, 10477134939301, 745130845917317, 58499605416732225, 5025399546258317683, 468897159717886522970, 47222645752129576973609, 5105611277081800029406545, 589843003782904742592169479
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (-1)^(n-k)*(n+2*k+1)^(k-1)*stirling(n, k, 2));
Formula
a(n) = Sum_{k=0..n} (-1)^(n-k) * (n+2*k+1)^(k-1) * Stirling2(n,k).