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 × 2n 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)).
|Original language||English (US)|
|Journal||Journal of Integer Sequences|
|State||Published - Dec 1 2001|
- Alternating sign matrices
- Cyclically symmetric transpose complement plane partitions
- Jacobsthal numbers
- Totally symmetric self-complementary plane partitions