On powers of 2 dividing the values of certain plane partition functions
Journal of integer sequences, Tome 4 (2001) no. 1
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
Classification :
05A10, 05A17, 11P83
Keywords: alternating sign matrices, totally symmetric self-complementary plane partitions, TSSCPP, cyclically symmetric transpose complement plane partitions, CSTCPP, jacobsthal numbers
Keywords: alternating sign matrices, totally symmetric self-complementary plane partitions, TSSCPP, cyclically symmetric transpose complement plane partitions, CSTCPP, jacobsthal numbers
@article{JIS_2001__4_1_a1,
author = {Sellers, James A. and Frey, Darrin D.},
title = {On powers of 2 dividing the values of certain plane partition functions},
journal = {Journal of integer sequences},
year = {2001},
volume = {4},
number = {1},
zbl = {0982.05015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a1/}
}
Sellers, James A.; Frey, Darrin D. On powers of 2 dividing the values of certain plane partition functions. Journal of integer sequences, Tome 4 (2001) no. 1. http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a1/