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%I #21 Jul 25 2024 15:32:53
%S 1,27,864,36000,1944000,133358400,11379916800,1185137049600,
%T 148142131200000,21908575180800000,3785801791242240000,
%U 756127866850836480000,172901238886557941760000,44887821634010234880000000,13132894100921851576320000000,4301460581188603786297344000000
%N Generalized Bell numbers.
%H J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL4/SIXDENIERS/bell.html">Extended Bell and Stirling Numbers From Hypergeometric Exponentiation</a>, J. Integer Seqs. Vol. 4 (2001), #01.1.4.
%F a(n) = (n+1)!^2*(n+1)n/8. - _Oleksandr Kulkov_, Oct 10 2022
%t Table[((n+1)!)^2 (n+1) n/8,{n,20}] (* _Harvey P. Dale_, Jul 25 2024 *)
%Y First subdiagonal of A061692.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Jun 19 2001
%E a(8)-a(16) from _Alois P. Heinz_, Sep 10 2019
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