Unimodal Rays of the Generalized Pascal’s Triangle

Xun-Tuan Su1, Wei-Wei Zhang1
1School of Mathematics and Information, East China Institute of Technology, Nanchang, 330013, China

Abstract

In this paper, we present two criteria for a sequence lying along a ray of a combinatorial triangle to be unimodal, and give a correct
proof for the result of Belbachir and Szalay on unimodal rays of the generalized Pascal’s triangle.