Sums of Products of Poly-Bernoulli Numbers of Negative Index
Department of Mathematics
Osaka Institute of Technology
5-16-1, Omiya, Asahi, Osaka 535-8585
We give a formula that expresses a sum of products of poly-Bernoulli
numbers of negative index as a linear combination of poly-Bernoulli
numbers. More generally, we show that if a two-variable formal power
series satisfies a certain partial differential equation, then its
coefficients satisfy this type of formula. As an appendix, we solve
this partial differential equation.
Full version: pdf,
(Concerned with sequences
Received September 7 2011;
revised version received November 29 2011.
Published in Journal of Integer Sequences, December 26 2011.
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