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A027650 Poly-Bernoulli numbers B_n^(k) with k=-3. 5
1, 8, 46, 230, 1066, 4718, 20266, 85310, 354106, 1455278, 5938186, 24104990, 97478746, 393095438, 1581931306, 6356390270, 25511588986, 102304505198, 409992599626, 1642294397150, 6576150108826 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Ken Kamano, Sums of Products of Poly-Bernoulli Numbers of Negative Index, Journal of Integer Sequences, Vol. 15 (2012), #12.1.3.

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.

FORMULA

a(n) = 6*4^n-6*3^n+2^n. - Vladeta Jovovic, Nov 14 2003

G.f.: (1-x)/((1-2*x)*(1-3*x)*(1-4*x)).

MAPLE

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

PROG

(MAGMA) [6*4^n-6*3^n+2^n: n in [0..30]]; // Vincenzo Librandi, Jul 17 2011

(PARI) Vec((1-x)/((1-2*x)*(1-3*x)*(1-4*x)) + O(x^30)) \\ Michel Marcus, Feb 13 2015

CROSSREFS

Cf. A027649, A027651.

Cf. A016269.

Row 3 of array A099594.

Sequence in context: A258593 A134114 A071586 * A172064 A197238 A182542

Adjacent sequences:  A027647 A027648 A027649 * A027651 A027652 A027653

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 7 05:39 EST 2016. Contains 278841 sequences.