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arXiv · 2410.01217

Distributions of Ulam Words up to Length 30

Paul Adutwum·Hopper Clark·Ro Emerson·Alexandra·Sheydvasser·Arseniy·Axelle Tougouma
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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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Paul Adutwum, Hopper Clark, Ro Emerson, Alexandra, Sheydvasser, Arseniy, Axelle Tougouma. 2024-10-02. Distributions of Ulam Words up to Length 30. https://arxiv.org/abs/2410.01217

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