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Generalizing Bailey's Generalization Of The Catalan Numbers, Darrin D. Frey, James A. Sellers
Generalizing Bailey's Generalization Of The Catalan Numbers, Darrin D. Frey, James A. Sellers
Science and Mathematics Faculty Publications
No abstract provided.
On Powers Of 2 Dividing The Values Of Certain Plane Partition Functions, Darrin D. Frey, James A. Sellers
On Powers Of 2 Dividing The Values Of Certain Plane Partition Functions, Darrin D. Frey, James A. Sellers
Science and Mathematics Faculty Publications
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)).