A377683 Expansion of e.g.f. (1 - x * log(1 - x))^3.

1, 0, 6, 9, 96, 450, 3132, 22680, 179904, 1578528, 15282000, 162304560, 1879227072, 23579281440, 318874800384, 4625170411680, 71640771563520, 1180394962790400, 20616532017767424, 380509312545031680, 7400308896979660800, 151271976281858611200, 3242509236999683481600

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

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

Prog

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

Crossrefs

Cf. A377682, A377684.

Cf. A375672.

Sequence in context: A377680 A103107 A370623 * A121233 A156180 A191011

Adjacent sequences: A377680 A377681 A377682 * A377684 A377685 A377686

Keyword

nonn,easy

Author

Seiichi Manyama, Nov 04 2024

Status

approved