Title

A Generalized Recurrence for Bell Numbers

Document Type

Article

Publication Date

2008

Publication Title

Journal of Integer Sequences

Department

Mathematics and Computer Science

Abstract

We show that the two most well-known expressions for Bell numbers, ?n=?nk=0{nk} and ?n+1=?nk=0(nk)?k, are both special cases of a third expression for the Bell numbers, and we give a combinatorial proof of the latter.

Volume

11

Issue

2

pp.

8253

ISSN

1530-7638