English

Counting on Euler and Bernoulli Number Identities

Combinatorics 2020-07-27 v1

Abstract

While there are many identities involving the Euler and Bernoulli numbers, they are usually proved analytically or inductively. We prove two identities involving Euler and Bernoulli numbers with combinatorial reasoning via up-down permutations.

Keywords

Cite

@article{arxiv.2007.12295,
  title  = {Counting on Euler and Bernoulli Number Identities},
  author = {Arthur T. Benjamin and John Lentfer and Thomas C. Martinez},
  journal= {arXiv preprint arXiv:2007.12295},
  year   = {2020}
}

Comments

3 pages

R2 v1 2026-06-23T17:21:54.033Z