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A027645 Numerators of poly-Bernoulli numbers B_n^(k) with k=3. 2
1, 1, -11, -1, 1243, -49, -75613, 599, 234671, -803, -4955857, 53443, 921931911863, -449291, -23461249769, 1237447, 917870505450709, -82659252107, -959539811053709101, 145633840717, 20593004175300735901, -12278015226517 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..443

K. Imatomi, M. Kaneko, E. Takeda, Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values, J. Int. Seq. 17 (2014) # 14.4.5

M. Kaneko, Poly-Bernoulli numbers

Masanobu Kaneko, Poly-Bernoulli numbers, Journal de théorie des nombres de Bordeaux, 9 no. 1 (1997), Pages 221-228.

Index entries for sequences related to Bernoulli numbers.

MAPLE

(-1)^n*sum( (-1)^'m'*'m'!*stirling2(n, 'm')/('m'+1)^k, 'm'=0..n);

CROSSREFS

Cf. A027646.

Sequence in context: A290860 A284232 A204848 * A193925 A010190 A261353

Adjacent sequences:  A027642 A027643 A027644 * A027646 A027647 A027648

KEYWORD

sign,frac,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 19 02:06 EST 2018. Contains 299330 sequences. (Running on oeis4.)