The 2-adic Valuation of Plane Partitions and Totally Symmetric Plane Partitions

Abstract

This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an $n$-cube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when $n$ is even, and less when $n$ is odd.