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


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.

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(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.

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