|Journal of Integer Sequences, Vol. 8 (2005), Article 05.2.4|
Bruce E. Sagan
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
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 .)
Received April 7 2005; revised version received April 14 2005. Published in Journal of Integer Sequences May 15 2005.