A366546 Expansion of e.g.f. -log(1 - x^3 * exp(x)).

0, 0, 0, 6, 24, 60, 480, 5250, 40656, 363384, 4839120, 65198430, 859543080, 13311494196, 233478687624, 4190929145130, 79746180437280, 1667320408619760, 36965002127643936, 854734007793179574, 20962277675893792440, 544839141515795731500

Offset

0,4

Links

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

Formula

a(n) = n! * Sum_{k=1..floor(n/3)} k^(n-3*k-1)/(n-3*k)!.

Prog

(PARI) a(n) = n!*sum(k=1, n\3, k^(n-3*k-1)/(n-3*k)!);

Crossrefs

Cf. A009444, A366459.

Cf. A292889, A346754, A358081.

Sequence in context: A293017 A371175 A292889 * A272951 A358081 A371045

Adjacent sequences: A366543 A366544 A366545 * A366547 A366548 A366549

Keyword

nonn

Author

Seiichi Manyama, Dec 14 2023

Status

approved