OFFSET
0,2
FORMULA
Integral representation as n-th moment of a positive function on a positive half-axis, in Maple notation: a(n)= int(x^n*sum(exp(-x/k)*Heaviside(x-k)/(k*k!), k=1..infinity), x=0..infinity).
E.g.f.: A(x) = Sum_{n>=0} exp(n*x-1)/(n!*(1-n*x)). - Vladeta Jovovic, Feb 04 2008
MAPLE
a:=n->sum(bell(n)*n!/j!, j=0..n):seq(a(n), n=0..16); # Zerinvary Lajos, Mar 19 2007
CROSSREFS
KEYWORD
nonn
AUTHOR
Karol A. Penson, Sep 07 2001
STATUS
approved