A371200 Expansion of e.g.f. 1/(1 + x * log(1 - x^3 - x^4)).

1, 0, 0, 0, 24, 120, 0, 2520, 80640, 907200, 4838400, 79833600, 2395008000, 40994553600, 515804889600, 10025503488000, 286642221465600, 6669139276800000, 133382785536000000, 3254006435936256000, 98762305409703936000, 2851300331032817664000

Offset

0,5

Links

Table of n, a(n) for n=0..21.

Formula

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

Prog

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

Crossrefs

Cf. A371196, A371199.

Cf. A371160.

Sequence in context: A211465 A371184 A371160 * A293893 A137799 A369541

Adjacent sequences: A371197 A371198 A371199 * A371201 A371202 A371203

Keyword

nonn

Author

Seiichi Manyama, Mar 15 2024

Status

approved