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arXiv · 2602.11355

Boolean-Narayana numbers

Miklos Bona
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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.

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Miklos Bona. 2026-06-16. Boolean-Narayana numbers. https://arxiv.org/abs/2602.11355

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