A proof of the only mode of a unimodal sequence

Fuente: arXiv
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Main Authors: Wan, Jun, Zhang, Zuo-Ru
Format: Preprint
Published: 2024
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author Wan, Jun
Zhang, Zuo-Ru
author_facet Wan, Jun
Zhang, Zuo-Ru
contents In study the generalized Jacobsthal and Jaco-Lucas polynomials, Sun introduced the interesting numerical triangle Jaco-Lucas sequence $\{JL_{n,k}\}_{n\geq k\geq0}$. In this paper, we proved this sequence is log-concave with the only mode by computer algebra.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12858
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A proof of the only mode of a unimodal sequence
Wan, Jun
Zhang, Zuo-Ru
Combinatorics
In study the generalized Jacobsthal and Jaco-Lucas polynomials, Sun introduced the interesting numerical triangle Jaco-Lucas sequence $\{JL_{n,k}\}_{n\geq k\geq0}$. In this paper, we proved this sequence is log-concave with the only mode by computer algebra.
title A proof of the only mode of a unimodal sequence
topic Combinatorics
url https://arxiv.org/abs/2402.12858