OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..55
Wikipedia, Partition of a set
MAPLE
b:= proc(n, k) option remember; `if`(k=0, signum(n), add(
(-1)^(n-j+1)*binomial(n, j)*(k*j)!/(j!*k!^j), j=0..n-1))
end:
a:= n-> add(b(j, n-j), j=0..n):
seq(a(n), n=0..16);
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Feb 16 2024
STATUS
approved