Journal of Integer Sequences, Vol. 23 (2020), Article 20.9.2

Symmetrized Poly-Bernoulli Numbers and Combinatorics


Toshiki Matsusaka
Institute for Advanced Research
Nagoya University
Furo-cho, Chikusa-ku
Nagoya 464-8601
Japan

Abstract:

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


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(Concerned with sequences A008277 A036970 A099594 A110501 A130534 A136126 A136127.)


Received April 2 2020; revised version received July 15 2020. Published in Journal of Integer Sequences, October 13 2020.


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