A Riordan array family for some integrable lattice models
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916394302439424 |
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| author | Barry, Paul |
| author_facet | Barry, Paul |
| contents | We study a family of Riordan arrays whose square symmetrizations lead to the Robbins numbers as well as numbers associated to the $20$ vertex model. We provide closed-form expressions for the elements of these arrays, and also give a canonical Catalan factorization for them. We describe a related family of Riordan arrays whose symmetrizations also lead to the same integer sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09547 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Riordan array family for some integrable lattice models Barry, Paul Combinatorics Primary 15B36, Secondary 05A15, 11B83, 11C20, 15A15, 82B20, 82B23 We study a family of Riordan arrays whose square symmetrizations lead to the Robbins numbers as well as numbers associated to the $20$ vertex model. We provide closed-form expressions for the elements of these arrays, and also give a canonical Catalan factorization for them. We describe a related family of Riordan arrays whose symmetrizations also lead to the same integer sequences. |
| title | A Riordan array family for some integrable lattice models |
| topic | Combinatorics Primary 15B36, Secondary 05A15, 11B83, 11C20, 15A15, 82B20, 82B23 |
| url | https://arxiv.org/abs/2409.09547 |