login
A357967
Expansion of e.g.f. exp( x * (exp(x^3) - 1) ).
4
1, 0, 0, 0, 24, 0, 0, 2520, 20160, 0, 604800, 19958400, 79833600, 259459200, 25427001600, 326918592000, 1046139494400, 44460928512000, 1333827855360000, 10306043229081600, 125024130975744000, 6386367771463680000, 101695303941783552000, 861733891296165888000
OFFSET
0,5
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} Stirling2(k,n-3*k)/k!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^3)-1))))
(PARI) a(n) = n!*sum(k=0, n\3, stirling(k, n-3*k, 2)/k!);
CROSSREFS
Cf. A353227.
Sequence in context: A267334 A202184 A368027 * A353227 A375589 A375562
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 22 2022
STATUS
approved