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A061700 Generalized Bell numbers. 1
1, 0, 0, 1, 1, 1, 4001, 42876, 347117, 792865081, 37062990505, 1164982989754, 2135094241854476, 289654511654619255, 24938050464296749001, 41388115708273073076689, 12793631315199589229518093, 2452257460931091883072686073, 3961922987460317585057396895353 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 29 20:22 EDT 2020. Contains 337432 sequences. (Running on oeis4.)