Multinomial Catalan Numbers and Lucas Analogues
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913535504678912 |
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| author | Da Conceição, Joaquim Cera |
| author_facet | Da Conceição, Joaquim Cera |
| contents | We define a new generalization of Catalan numbers to multinomial coefficients. With arithmetic methods, we study their integrality and the integrality of their Lucasnomial generalization. We give a complete characterization of regular Lucas sequences for which they yield integers up to finitely many cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multinomial Catalan Numbers and Lucas Analogues Da Conceição, Joaquim Cera Number Theory 05A10, 11B65, 11B39 We define a new generalization of Catalan numbers to multinomial coefficients. With arithmetic methods, we study their integrality and the integrality of their Lucasnomial generalization. We give a complete characterization of regular Lucas sequences for which they yield integers up to finitely many cases. |
| title | Multinomial Catalan Numbers and Lucas Analogues |
| topic | Number Theory 05A10, 11B65, 11B39 |
| url | https://arxiv.org/abs/2410.04857 |