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arXiv · 2410.04857

Multinomial Catalan Numbers and Lucas Analogues

Joaquim Cera Da Conceição
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Abstract

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.

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Joaquim Cera Da Conceição. 2024-10-07. Multinomial Catalan Numbers and Lucas Analogues. https://arxiv.org/abs/2410.04857

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