Distributions of Ulam Words up to Length 30
Number Theory
2025-07-18 v2 Combinatorics
Abstract
We further explore the notion of Ulam words considered by Bade, Cui, Labelle, and Li, giving some lower bounds on how many there are of a given length. Gaps between words and words of special type also reveal remarkable structure. By substantially increasing the number of computed terms, we are also able to sharpen some of the conjectures made by Bade et al.
Keywords
Cite
@article{arxiv.2410.01217,
title = {Distributions of Ulam Words up to Length 30},
author = {Paul Adutwum and Hopper Clark and Ro Emerson and Alexandra and Sheydvasser and Arseniy and Sheydvasser and Axelle Tougouma},
journal= {arXiv preprint arXiv:2410.01217},
year = {2025}
}