Multinomial Catalan Numbers and Lucas Analogues
| Autor: | Da Conceição, Joaquim Cera |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | J. Integer Sequences 26 (2023) Article 23.9.7 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 29 pages |
| Databáze: | arXiv |
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