Distributions of Ulam Words up to Length 30
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913946260209664 |
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| author | Adutwum, Paul Clark, Hopper Emerson, Ro Alexandra Sheydvasser Arseniy Sheydvasser Tougouma, Axelle |
| author_facet | Adutwum, Paul Clark, Hopper Emerson, Ro Alexandra Sheydvasser Arseniy Sheydvasser Tougouma, Axelle |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01217 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distributions of Ulam Words up to Length 30 Adutwum, Paul Clark, Hopper Emerson, Ro Alexandra Sheydvasser Arseniy Sheydvasser Tougouma, Axelle Number Theory Combinatorics 11B75, 11Y55 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. |
| title | Distributions of Ulam Words up to Length 30 |
| topic | Number Theory Combinatorics 11B75, 11Y55 |
| url | https://arxiv.org/abs/2410.01217 |