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arXiv · 2604.14639

Unimodality and log-concavity of generalized Glasby-Paseman sequences

Seok Hyun Byun·Svetlana Poznanović
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Abstract

In this paper, we consider a two-parameter ($l$ and $a$) generalization of a sequence that Glasby and Paseman considered. Based on computer experiments, we conjecture its unimodality, log-concavity, peak positions, and the asymptotic behavior of the maximum values. Then we prove this conjecture for the case where $l=2$ and $a=1$. We finish the paper by making some comments about the conjecture on the generalized sequence.

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Seok Hyun Byun, Svetlana Poznanović. 2026-04-16. Unimodality and log-concavity of generalized Glasby-Paseman sequences. https://arxiv.org/abs/2604.14639

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