Document Type

Honors Project - Open Access


We study the family An of sequences (a1, a2, ..., an) where 0 ≤ ak k and nonzero entries are distinct. We show that these sequences are in bijection with the set partitions of [n + 1]. These sequences have a natural poset structure, and we analyze the maximal chains within this poset. Finally, we explore various subfamilies of An, including sequences whose largest entry is k and sequences missing the value k.

Included in

Mathematics Commons



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