Journal of Integer Sequences
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)).
Alternating sign matrices, totally symmetric self-complementary plane partitions, TSSCPP, cyclically symmetric transpose complement plane partitions, CSTCPP, Jacobsthal numbers
Frey, D. D. & Sellers, J. A. (2001). On Powers of 2 Dividing the Values of Certain Plane Partition Functions. Journal of Integer Sequences, 4.