A Generalized Recurrence for Bell Numbers
Michael Z. Spivey
Department of Mathematics and Computer Science
University of Puget Sound
Tacoma, Washington 98416-1043
We show that the two most well-known expressions for
, are both special
cases of a third expression for the Bell numbers, and we give a
combinatorial proof of the latter.
Full version: pdf,
(Concerned with sequences
Received January 11 2008;
revised version received May 27 2008.
Published in Journal of Integer Sequences, June 23 2008.
Journal of Integer Sequences home page