|Journal of Integer Sequences, Vol. 7 (2004), Article 04.1.1|
Abstract: We study three partition statistics and the q-Stirling and q-Bell numbers that serve as their generating functions, evaluating these numbers when q=-1. Among the numbers that arise in this way are (1) Fibonacci numbers and (2) numbers occurring in the study of fermionic oscillators.
(Concerned with sequence A000045 .)
Received August 1, 2003; revised version received January 8, 2004. Published in Journal of Integer Sequences February 9, 2004.