A Combinatorial Approach to Hyperharmonic Numbers

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
David Gaebler '04, Harvey Mudd CollegeFollow
Robert Gaebler '04, Harvey Mudd CollegeFollow

Student Co-author

HMC Undergraduate

Document Type

Article

Department

Mathematics (HMC)

Publication Date

10-2003

Abstract

Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can be expressed in terms of r-Stirling numbers, leading to combinatorial interpretations of many interesting identities.

Comments

First published in INTEGERS: The Electronic Journal of Combinatorial Number Theory, vol. 3 (October 2003), by the State University of West Georgia, Charles University, and DIMATIA.

This article is also available at http://www.integers-ejcnt.org/vol3.html.

Rights Information

© 2003 Arthur T. Benjamin

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Benjamin, A.T., Gaebler, D., & Gaebler R. (2003). A combinatorial approach to hyperharmonic numbers. Integers: The Electronic Journal of Combinatorial Number Theory, 3: 1-9.