A061700 Generalized Bell numbers.

1, 0, 0, 1, 1, 1, 4001, 42876, 347117, 792865081, 37062990505, 1164982989754, 2135094241854476, 289654511654619255, 24938050464296749001, 41388115708273073076689, 12793631315199589229518093, 2452257460931091883072686073, 3961922987460317585057396895353

Offset

0,7

Links

Table of n, a(n) for n=0..18.

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

Sum_{n>=0} a(n) * x^n / (n!)^3 = exp(Sum_{n>=3} x^n / (n!)^3). - Ilya Gutkovskiy, Jul 12 2020

Crossrefs

Cf. A061684, A061699.

Sequence in context: A236079 A045262 A203088 * A218641 A092722 A034306

Adjacent sequences: A061697 A061698 A061699 * A061701 A061702 A061703

Keyword

nonn

Author

N. J. A. Sloane, Jun 19 2001

Extensions

More terms from Ilya Gutkovskiy, Jul 12 2020

Status

approved