Proof of a Conjecture of Amdeberhan and Moll on a Divisibility Property of Binomial Coefficients Quan-Hui Yang DOI: https://doi.org/10.37236/4104 Keywords: binomial coefficients, p-adic order, divisibility properties Abstract Let $a,b$ and $n$ be positive integers with $a>b$. In this note, we prove that $$(2bn+1)(2bn+3){2bn \choose bn}\bigg|3(a-b)(3a-b){2an \choose an}{an\choose bn}.$$ This confirms a recent conjecture of Amdeberhan and Moll. PDF Published 2015-01-09 Issue Volume 22, Issue 1 (2015) Article Number P1.9