Journal of Integer Sequences, Vol. 4 (2001), Article 01.1.8

On Powers of 2 Dividing the Values of Certain Plane Partition Functions

Darrin D. Frey and James A. Sellers¹

Department of Science and Mathematics
Cedarville University
Cedarville, OH 45314

¹Current address: Department of Mathematics, Eberly College of Science,
The Pennsylvania State University, University Park, PA 16802

Email addresses: freyd@cedarville.edu and sellersj@cedarville.edu

Abstract: We consider two families of plane partitions: totally symmetric self-complementary plane partitions (TSSCPPs) and cyclically symmetric transpose complement plane partitions (CSTCPPs). If T(n) and C(n) are the numbers of such plane partitions in a 2n × 2n × 2n box, then

for all n >= 1. We also discuss various consequences, along with other results on ord₂(T(n)).

(Concerned with sequences A001045 A005130 A051255 .)

Received May 18, 2001; published in Journal of Integer Sequences, July 19, 2001.