The p-adic valuation of k-central binomial coefficients
Number Theory
2015-05-13 v1 Combinatorics
Abstract
The coefficients c(n,k) defined by (1-k^2x)^(-1/k) = sum c(n,k) x^n reduce to the central binomial coefficients for k=2. Motivated by a question of H. Montgomery and H. Shapiro for the case k=3, we prove that c(n,k) are integers and study their divisibility properties.
Cite
@article{arxiv.0811.2028,
title = {The p-adic valuation of k-central binomial coefficients},
author = {Armin Straub and Tewodros Amdeberhan and Victor H. Moll},
journal= {arXiv preprint arXiv:0811.2028},
year = {2015}
}
Comments
11 pages