Journal of Integer Sequences, Vol. 13 (2010), Article 10.5.2

Sums of Products of Bernoulli Numbers, Including Poly-Bernoulli Numbers


Ken Kamano
Department of General Education
Salesian Polytechnic
4-6-8, Oyamagaoka, Machida-city, Tokyo 194-0215
Japan

Abstract:

We investigate sums of products of Bernoulli numbers including poly-Bernoulli numbers. A relation among these sums and explicit expressions of sums of two and three products are given. As a corollary, we obtain fractional parts of sums of two and three products for negative indices.


Full version:  pdf,    dvi,    ps,    latex    


(Concerned with sequences A027649 A027650 A027651.)


Received September 27 2009; revised version received April 17 2010. Published in Journal of Integer Sequences, April 17 2010.


Return to Journal of Integer Sequences home page