On divisibility of Narayana numbers by primes
Journal of integer sequences, Tome 8 (2005) no. 2
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.
Classification :
11B50, 05A10, 11A07, 11B64
Keywords: divisibility, narayana numbers
Keywords: divisibility, narayana numbers
@article{JIS_2005__8_2_a7,
author = {B\'ona, Mikl\'os and Sagan, Bruce E.},
title = {On divisibility of {Narayana} numbers by primes},
journal = {Journal of integer sequences},
year = {2005},
volume = {8},
number = {2},
zbl = {1077.11012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_2_a7/}
}
Bóna, Miklós; Sagan, Bruce E. On divisibility of Narayana numbers by primes. Journal of integer sequences, Tome 8 (2005) no. 2. http://geodesic.mathdoc.fr/item/JIS_2005__8_2_a7/