Combinatorics of three-Catalan numbers and some positivities
Combinatorics
2025-06-17 v2
Abstract
We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish their log-convexity. Additionally, we prove that the rows of the three-Catalan triangle form a log-concave sequence.
Keywords
Cite
@article{arxiv.2502.03615,
title = {Combinatorics of three-Catalan numbers and some positivities},
author = {Boualam Rezig and Moussa Ahmia},
journal= {arXiv preprint arXiv:2502.03615},
year = {2025}
}
Comments
arXiv admin note: This submission has been withdrawn because it does not meet arXiv's research content quality standards