Preprint
Article
Closed Forms for Derangement Numbers in Terms of the Hessenberg Determinants
Altmetrics
Downloads
1552
Views
1532
Comments
4
A peer-reviewed article of this preprint also exists.
This version is not peer-reviewed
Submitted:
11 October 2016
Posted:
11 October 2016
You are already at the latest version
Alerts
Abstract
In the paper, the authors find closed forms for derangement numbers in terms of the Hessenberg determinants, discover a recurrence relation of derangement numbers, present a formula for any higher order derivative of the exponential generating function of derangement numbers, and compute some related Hessenberg and tridiagonal determinants.
Keywords:
Subject: Computer Science and Mathematics - Algebra and Number Theory
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
MDPI Initiatives
Important Links
© 2024 MDPI (Basel, Switzerland) unless otherwise stated