On unimodality problems in Pascal's triangle
Combinatorics
2008-09-10 v1
Abstract
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.
Cite
@article{arxiv.0809.1579,
title = {On unimodality problems in Pascal's triangle},
author = {Xun-Tuan Su and Yi Wang},
journal= {arXiv preprint arXiv:0809.1579},
year = {2008}
}
Comments
12 pages, 2 figures