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A061690 Generalized Stirling numbers. 1
0, 0, 6, 72, 650, 5400, 43757, 353192, 2862330, 23352300, 191891117, 1587587760, 13215894133, 110619113423, 930376519256, 7858437064232, 66627124896218, 566791391339532, 4836144006188165, 41375938305568772, 354859541163656045 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..21.

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

a(n) = s(n, k) = Sum_{pi} n!/(k(1)! * 1!^k(1) * k(2)! * 2!^k(2) * ... * k(n)! * n!^k(n)) * (n!/(1!^k(1) * 2!^k(2) * ... * n!^k(n)))^L, where pi runs through all partitions k(1) +2 * k(2)+...+n * k(n) = n such that k = k(1)+k(2)+...+k(n), with k = 3 and L = 1.

CROSSREFS

Third column of A061691.

Sequence in context: A283095 A281774 A036292 * A133678 A005548 A059410

Adjacent sequences:  A061687 A061688 A061689 * A061691 A061692 A061693

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 18 2001

EXTENSIONS

Formula and more terms from Vladeta Jovovic, Dec 09 2001

STATUS

approved

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Last modified January 28 10:02 EST 2020. Contains 331319 sequences. (Running on oeis4.)