Combinatorial properties of poly-Bernoulli relatives
Combinatorics
2016-03-01 v1
Abstract
In this note we augment the poly-Bernoulli family with two new combinatorial objects. We derive formulas for the relatives of the poly-Bernoulli numbers using the appropriate variations of combinatorial interpretations. Our goal is to show connections between the different areas where poly-Bernoulli numbers and their relatives appear and give examples how the combinatorial methods can be used for deriving formulas between integer arrays.
Cite
@article{arxiv.1602.08684,
title = {Combinatorial properties of poly-Bernoulli relatives},
author = {Beáta Bényi and Péter Hajnal},
journal= {arXiv preprint arXiv:1602.08684},
year = {2016}
}