Boolean-Narayana numbers
Combinatorics
2026-04-14 v4
Abstract
We introduce a refinement of Boolean-Catalan numbers and call them Boolean-Narayana numbers. We provide an explicit formula for these numbers, and prove unimodality, log-concavity, and real-roots-only results for their sequences. We also prove a three-term recurrence relation for their generating polynomials.
Keywords
Cite
@article{arxiv.2602.11355,
title = {Boolean-Narayana numbers},
author = {Miklos Bona},
journal= {arXiv preprint arXiv:2602.11355},
year = {2026}
}
Comments
16 pages, 3 figures