Pamela E. Harris

collaborators

4 papers

math.NT2024

A tree approach to the happy function

Eva G. Goedhart, Yusuf Gurtas, Pamela E. Harris

In this article, we present a method to construct $e$ -power $b$ -happy numbers of any height. Using this method, we construct a tree that encodes these happy numbers, their heights,…

math.CO2024

On the Correspondence Between Integer Sequences and Vacillating Tableaux

Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2

A fundamental identity in the representation theory of the partition algebra is $n^{k} = \sum_{λ} f^{λ} m_{k}^{λ}$ for $n \geq 2 k$ , where $λ$ ranges over integer partitions of $n$ , $f^{λ}$ is t…

math.CO2024

Flattened Catalan Words

Jean-Luc Baril, Pamela E. Harris, José L. Ramírez

In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functio…

math.CO2024

Enumerating runs, valleys, and peaks in Catalan words

Jean-Luc Baril, Pamela E. Harris, Kimberly J. Harry +2

We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (desce…