On unimodality problems in Pascal's triangle

被引：0
|
作者：
Su, Xun-Tuan [1 ]
Wang, Yi [1 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2008年 / 15卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Many sequences of binomial coefficients share various unimodality properties. In this paper we consider the unimodality problem of a sequence of binomial coefficients located in a ray or a transversal of the Pascal triangle. Our results give in particular an affirmative answer to a conjecture of Belbachir et al which asserts that such a sequence of binomial coefficients must be unimodal. We also propose two more general conjectures.
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页数：12
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