English

A proof of the only mode of a unimodal sequence

Combinatorics 2024-03-13 v2

Abstract

In study the generalized Jacobsthal and Jaco-Lucas polynomials, Sun introduced the interesting numerical triangle Jaco-Lucas sequence {JLn,k}nk0\{JL_{n,k}\}_{n\geq k\geq0}. In this paper, we proved this sequence is log-concave with the only mode by computer algebra.

Keywords

Cite

@article{arxiv.2402.12858,
  title  = {A proof of the only mode of a unimodal sequence},
  author = {Jun Wan and Zuo-Ru Zhang},
  journal= {arXiv preprint arXiv:2402.12858},
  year   = {2024}
}