OFFSET
0,3
FORMULA
E.g.f.: B(x)^3, where B(x) is the e.g.f. of A052848.
a(n) = (n!/2) * Sum_{k=0..floor(n/2)} (k+2)! * Stirling2(n-k,k)/(n-k)!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*(exp(x)-1))^3))
(PARI) a(n) = n!*sum(k=0, n\2, (k+2)!*stirling(n-k, k, 2)/(n-k)!)/2;
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 23 2024
STATUS
approved