Journal of Integer Sequences, Vol. 8 (2005), Article 05.2.4

On Divisibility of Narayana Numbers by Primes


Miklós Bóna
Department of Mathematics
University of Florida
Gainesville, FL 32611
USA

Bruce E. Sagan
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
USA

Abstract: Using Kummer's theorem, we give a necessary and sufficient condition for a Narayana number to be divisible by a given prime. We use this to derive certain properties of the Narayana triangle.

(Concerned with sequences A001263 and A000108 .)

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Received April 7 2005; revised version received April 14 2005. Published in Journal of Integer Sequences May 15 2005.

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