Journal of Integer Sequences, Vol. 6 (2003), Article 03.1.2

Derangements and Applications

Mehdi Hassani
Department of Mathematics
Institute for Advanced Studies in Basic Sciences
Zanjan, Iran

Abstract: In this paper we introduce some formulas for the number of derangements. Then we define the derangement function and use the software package MAPLE to obtain some integrals related to the incomplete gamma function and also to some hypergeometric summations.

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(Concerned with sequence A000166 .)

Received February 17, 2003; revised version received February 24, 2003. Published in Journal of Integer Sequences February 25, 2003.

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