A061695 Generalized Bell numbers.

1, 27, 864, 36000, 1944000, 133358400, 11379916800, 1185137049600, 148142131200000, 21908575180800000, 3785801791242240000, 756127866850836480000, 172901238886557941760000, 44887821634010234880000000, 13132894100921851576320000000, 4301460581188603786297344000000

Offset

1,2

Links

Table of n, a(n) for n=1..16.

J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, Extended Bell and Stirling Numbers From Hypergeometric Exponentiation, J. Integer Seqs. Vol. 4 (2001), #01.1.4.

Formula

a(n) = (n+1)!^2*(n+1)n/8. - Oleksandr Kulkov, Oct 10 2022

Crossrefs

First subdiagonal of A061692.

Sequence in context: A159234 A120715 A065922 * A107050 A129999 A132059

Adjacent sequences: A061692 A061693 A061694 * A061696 A061697 A061698

Keyword

nonn

Author

N. J. A. Sloane, Jun 19 2001

Extensions

a(8)-a(16) from Alois P. Heinz, Sep 10 2019

Status

approved