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

Authors

Darrin D. Frey, Cedarville UniversityFollow
James A. Sellers

Document Type

Article

Publication Date

2001

Journal Title

Journal of Integer Sequences

Volume

4

Issue

1

First Page

1

Last Page

10

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 × 2nbox, then

ord₂(T(n)) = ord₂(C(n))

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

Keywords

Alternating sign matrices, totally symmetric self-complementary plane partitions, TSSCPP, cyclically symmetric transpose complement plane partitions, CSTCPP, Jacobsthal numbers

Recommended Citation

Frey, D. D. & Sellers, J. A. (2001). On Powers of 2 Dividing the Values of Certain Plane Partition Functions. Journal of Integer Sequences, 4.