A Generalized Recurrence for Bell Numbers

被引：0

作者：

Spivey, Michael Z. ^{[1
]}

机构：

[1] Univ Puget Sound, Dept Math & Comp Sci, Tacoma, WA 98416 USA

来源：

JOURNAL OF INTEGER SEQUENCES | 2008年 / 11卷 / 02期

关键词：

Bell number; Stirling number;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：3