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.
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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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