Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.8

A Note on the Generating Function for the Stirling Numbers of the First Kind

Ricky X. F. Chen
Department of Mathematics and Computer Science
University of Southern Denmark
Campusvej 55
DK-5230, Odense M


In this short note, we present a simple constructive proof for the generating function for the unsigned Stirling numbers of the first kind using the equidistribution of pilots and cycles of permutations.

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(Concerned with sequence A132393.)

Received January 25 2015; revised version received February 16 2015. Published in Journal of Integer Sequences, March 25 2015.

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