Sellers, James A.; Frey, Darrin D.

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

J. Integer Seq. 4(1), Art. 01.1.8, 10 p., electronic only (2001)

Summary

Summary: 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 $\times $ 2n $\times $ 2n box, then

Mathematics Subject Classification

05A10, 05A17, 11P83

Keywords/Phrases

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

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