OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..n} |A360176(n, k)|.
MAPLE
egf := k -> (1 - exp(-LambertW(x*exp(-x))))^k / k!:
ser := k -> series(egf(k), x, 22):
T := (n, k) -> (-1)^(n-k)*n!*coeff(ser(k), x, n):
seq(add(T(n, k), k = 0..n), n = 0..19);
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Jan 29 2023
STATUS
approved