Department or Program
Mathematics
Abstract
In 1964, Stanislaw Ulam introduced the Ulam sequence. Beginning with 1 and 2, the next term is the smallest unique sum of two different earlier terms. In 2020, the parallel notion of Ulam words was introduced by Bade, Cui, Labelle, and Li, and was further explored by Adutwum, Clark, Emerson, Sheydvasser, Sheydvasser, and Tougouma in 2024. We build on both Bade et al. and Adutwum et al. by proving new results regarding Ulam words, and providing evidence to support the existence of strong new patterns. We explore Ulam words in the setting of cyclic semigroups, and compare the results found by the authors above in this new setting.
Level of Access
Open Access
First Advisor
Sheydvasser, Senia
Date of Graduation
5-2025
Degree Name
Bachelor of Arts
Recommended Citation
Clark, Hopper A., "Patterns Among Ulam Words" (2025). Honors Theses. 479.
https://scarab.bates.edu/honorstheses/479
Number of Pages
35
Components of Thesis
1 pdf file
