Darrin D. Frey

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In this paper, we consider sequences comprised of n (m − 1)'s and r −1's (where m ≥ 2) with the sum of each subsequence of the first j terms nonnegative. We will denote the number of such sequences as n r m−1. Our goal is to present various results involving n r m−1 , including an interpretation of the sequences counted by n r m−1 which truly generalizes(More)
We consider two families of plane partitions: totally symmetric self-complementary plane partitions (TSS-CPPs) 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(More)
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