English

The signed Eulerian numbers on involutions

Combinatorics 2008-03-17 v1

Abstract

We define an analogue of signed Eulerian numbers fn,kf_{n,k} for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhibit both an explicit formula and a recurrence for fn,kf_{n,k} arising from the properties of its generating function.

Keywords

Cite

@article{arxiv.0803.2126,
  title  = {The signed Eulerian numbers on involutions},
  author = {M. Barnabei and F. Bonetti and M. Silimbani},
  journal= {arXiv preprint arXiv:0803.2126},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T10:21:32.411Z