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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11045 |
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| _version_ | 1866910452661878784 |
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| author | Gibbs, Amelia Miceli, Brian K. |
| author_facet | Gibbs, Amelia Miceli, Brian K. |
| contents | The main goal of this paper is to assign two combinatorial interpretations to the elements of the Rascal Triangle defined by Angorro et al. The first interpretation involves counting ascents in binary words, while the second interpretation involves pattern avoidance in the ascent sequences studied by Duncan and Steingrímsson, and related directly to a more recent paper by Baxter and Pudwell. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11045 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Combinatorial Interpretations of Rascal Numbers Gibbs, Amelia Miceli, Brian K. Combinatorics 05 The main goal of this paper is to assign two combinatorial interpretations to the elements of the Rascal Triangle defined by Angorro et al. The first interpretation involves counting ascents in binary words, while the second interpretation involves pattern avoidance in the ascent sequences studied by Duncan and Steingrímsson, and related directly to a more recent paper by Baxter and Pudwell. |
| title | Two Combinatorial Interpretations of Rascal Numbers |
| topic | Combinatorics 05 |
| url | https://arxiv.org/abs/2405.11045 |