Article
On divisibility properties of some differences of the central binomial coefficients and Catalan numbers
Electronic Journal of Combinatorial Number Theory
(2013)
Abstract
We discuss divisibility properties of some differences of the central binomial coeffi- cients and Catalan numbers. The main tool is the application of various congruences modulo high prime powers for binomial coefficients combined with some recurrences relevant to these combinatorial quantities.
Keywords
- Catalan number,
- binomial coefficients
Disciplines
Publication Date
March 15, 2013
Citation Information
Tamas Lengyel. "On divisibility properties of some differences of the central binomial coefficients and Catalan numbers" Electronic Journal of Combinatorial Number Theory Vol. 13 (2013) Available at: http://works.bepress.com/tamas_lengyel/5/