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Distributions of Ulam Words up to Length 30

2024/10/02 by Paul Adutwum, Adutwum, Paul, R.A. Emerson +7
Arts and Humanities · Computer Science · Social Sciences · #11B75 #11Y55 #Combinatorics (math.CO) #FOS: Mathematics #Language, Linguistics, Cultural Analysis #Natural Language Processing Techniques #Number Theory (math.NT) #Swearing, Euphemism, Multilingualism

paper · pdf · doi:10.48550/arxiv.2410.01217

openalex publication_date 2024/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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