A371141 E.g.f. satisfies A(x) = 1 - x*A(x)^3 * log(1 - x).

1, 0, 2, 3, 80, 390, 10764, 104160, 3162144, 48889008, 1647798480, 35939566080, 1347110453952, 38272507827840, 1593399505840128, 55860824012535360, 2575479834957911040, 107239963351030433280, 5453101063482843276288, 262319113586136087567360

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = n! * Sum_{k=0..floor(n/2)} (3*k)!/(2*k+1)! * |Stirling1(n-k,k)|/(n-k)!.

Prog

(PARI) a(n) = n!*sum(k=0, n\2, (3*k)!/(2*k+1)!*abs(stirling(n-k, k, 1))/(n-k)!);

Crossrefs

Cf. A052830, A371140.

Cf. A367158.

Sequence in context: A306195 A091825 A166091 * A370993 A371228 A068185

Adjacent sequences: A371138 A371139 A371140 * A371142 A371143 A371144

Keyword

nonn

Author

Seiichi Manyama, Mar 12 2024

Status

approved