Multinomial Catalan Numbers and Lucas Analogues
Number Theory
2024-10-08 v1
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.
Cite
@article{arxiv.2410.04857,
title = {Multinomial Catalan Numbers and Lucas Analogues},
author = {Joaquim Cera Da Conceição},
journal= {arXiv preprint arXiv:2410.04857},
year = {2024}
}
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29 pages