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%I #13 Feb 27 2023 22:52:42
%S 1,1,4,37,641,18276,789377,48681011,4101601933,456231359098,
%T 65186917527755,11698971297097514,2588414536916535692,
%U 694943711701146526685,223358454122075825673083,84933806339641062320374739,37818769294977584683919425677
%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) * (n!)^2 * [z^0] (d^n/dz^n) exp(-1 + Sum_{k>=0} z^k/((k+1)*(k!)^3)). - _Sean A. Irvine_, Feb 27 2023
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Jun 18 2001
%E More terms from _Sean A. Irvine_, Feb 27 2023
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