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

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Darrin D. Frey and James A. Sellers^{1}

Department of Science and Mathematics

Cedarville University

Cedarville, OH 45314

^{1}Current 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 2*n* × 2*n* × 2*n* 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*)).

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(Concerned with sequences
A001045
A005130
A051255
.)

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

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