A061699 Generalized Bell numbers.

1, 0, 1, 1, 109, 1001, 128876, 4682637, 792013069, 75022864345, 17347941915130, 3306782335589129, 1063995670771466456, 344173484059603653963, 153912612667103172679837, 75571251960991348967876564, 46271172080109731069460430093, 32072712892330804080630204907257

Offset

0,5

Links

Table of n, a(n) for n=0..17.

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>=2} x^n / (n!)^3). - Ilya Gutkovskiy, Jul 12 2020

Crossrefs

Cf. A061684, A061700.

Sequence in context: A232039 A301743 A178263 * A359144 A239720 A096214

Adjacent sequences: A061696 A061697 A061698 * A061700 A061701 A061702

Keyword

nonn

Author

N. J. A. Sloane, Jun 19 2001

Extensions

More terms from Ilya Gutkovskiy, Jul 12 2020

Status

approved