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A027644 Denominators of poly-Bernoulli numbers B_n^(k) with k=2. +0
3
1, 4, 36, 24, 450, 40, 2205, 168, 350, 120, 38115, 88, 40990950, 10920, 5005, 24, 130180050, 136, 1935088155, 3192, 177827650, 1320, 1539340803, 184, 304521767550, 10920, 37182145, 24, 2814316555050, 1160 (list; graph; listen)
OFFSET

0,2

REFERENCES

M. Kaneko, Poly-Bernoulli numbers, J. Theorie des Nombres Bordeaux 9 (1997), 221-228.

LINKS

Index entries for sequences related to Bernoulli numbers.

M. Kaneko, Poly-Bernoulli numbers

MAPLE

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

MATHEMATICA

f[n_] := (-1)^n*Sum[(-1)^m*m!*StirlingS2[n, m]/(m + 1)^2, {m, 0, n}]; Table[ Denominator[ f[n]], {n, 0, 30}] (from Robert G. Wilson v Oct 28 2004)

CROSSREFS

Cf. A027643.

Sequence in context: A092960 A144153 A144162 this_sequence A062182 A073771 A091722

Adjacent sequences: A027641 A027642 A027643 this_sequence A027645 A027646 A027647

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 1 13:27 EST 2009. Contains 167806 sequences.


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