Journal of Integer Sequences, Vol. 7 (2004), Article 04.1.1

Partition Statistics and q-Bell Numbers (q = -1)

Carl G. Wagner
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1300

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.

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(Concerned with sequence A000045 .)

Received August 1, 2003; revised version received January 8, 2004. Published in Journal of Integer Sequences February 9, 2004.

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