login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A027651 Poly-Bernoulli numbers B_n^(k) with k=-4. 3
1, 16, 146, 1066, 6902, 41506, 237686, 1315666, 7107302, 37712866, 197451926, 1023358066, 5262831302, 26903268226, 136887643766, 693968021266, 3508093140902, 17693879415586, 89084256837206 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

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

LINKS

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

Index entries for sequences related to Bernoulli numbers.

M. Kaneko, Poly-Bernoulli numbers

FORMULA

a(n) = 24*5^n-36*4^n+14*3^n-2^n. - Vladeta Jovovic, Nov 14 2003

G.f.: (1+4*x)*((1-x)^2)/((1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)).

MAPLE

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

PROG

(MAGMA) [24*5^n-36*4^n+14*3^n-2^n: n in [0..30]]; // Vincenzo Librandi, Jul 17 2011

CROSSREFS

Cf. A027649, A027650.

Row 4 of array A099594.

Sequence in context: A076029 A196572 A052388 * A125379 A232063 A126537

Adjacent sequences:  A027648 A027649 A027650 * A027652 A027653 A027654

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 24 16:46 EST 2014. Contains 249899 sequences.