### Abstract

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 |

Volume | 4 |

Issue number | 1 |

State | Published - 2001 |

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### All Science Journal Classification (ASJC) codes

- Discrete Mathematics and Combinatorics

### Cite this

*Journal of Integer Sequences*,

*4*(1).

}

*Journal of Integer Sequences*, vol. 4, no. 1.

**On powers of 2 dividing the values of certain plane partition functions.** / Frey, Darrin D.; Sellers, James Allen.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On powers of 2 dividing the values of certain plane partition functions

AU - Frey, Darrin D.

AU - Sellers, James Allen

PY - 2001

Y1 - 2001

N2 - 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)).

AB - 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)).

UR - http://www.scopus.com/inward/record.url?scp=3242812942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242812942&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3242812942

VL - 4

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

SN - 1530-7638

IS - 1

ER -