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arXiv · 2003.12378

Symmetrized poly-Bernoulli numbers and combinatorics

Toshiki Matsusaka
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Abstract

Poly-Bernoulli numbers are one of generalizations of the classical Bernoulli numbers. Since a negative index poly-Bernoulli number is an integer, it is an interesting problem to study this number from combinatorial viewpoint. In this short article, we give a new combinatorial relation between symmetrized poly-Bernoulli numbers and the Dumont-Foata polynomials.

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Toshiki Matsusaka. 2020-03-27. Symmetrized poly-Bernoulli numbers and combinatorics. https://arxiv.org/abs/2003.12378

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