A355765 E.g.f. satisfies A(x)^2 * log(A(x)) = 1 - exp(-x*A(x)).
1, 1, -2, 5, -27, 307, -4403, 71353, -1333090, 28816647, -709090995, 19516306141, -593330123807, 19747569261851, -714304238263502, 27903505800651169, -1170716239531658759, 52503701213718494671, -2506483879112555156467, 126905975195788734150405
Offset: 0
Keywords
Programs
-
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).