English

Poly-Cauchy numbers -- the combinatorics behind

Combinatorics 2021-05-12 v1

Abstract

We introduce poly-Cauchy permutations that are enumerated by the poly-Cauchy numbers. We provide combinatorial proofs for several identities involving poly-Cauchy numbers and some of their generalizations. The aim of this work is to demonstrate the power and beauty of the elementary combinatorial approach.

Keywords

Cite

@article{arxiv.2105.04791,
  title  = {Poly-Cauchy numbers -- the combinatorics behind},
  author = {Beáta Bényi and José Luis Ramírez},
  journal= {arXiv preprint arXiv:2105.04791},
  year   = {2021}
}

Comments

17 pages, 2 figures

R2 v1 2026-06-24T01:58:22.773Z