On powers of 2 dividing the values of certain plane partition functions

Darrin D. Frey, James A. Sellers

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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 ord 2(T(n)) = ord 2(C(n)) for all n ≥ 1. We also discuss various consequences, along with other results on ord 2(T(n)).

Original languageEnglish (US)
JournalJournal of Integer Sequences
Volume4
Issue number1
StatePublished - Dec 1 2001

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All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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