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arXiv · 0809.1579

On unimodality problems in Pascal's triangle

Xun-Tuan Su·Yi Wang
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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.

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Xun-Tuan Su, Yi Wang. 2008-09-09. On unimodality problems in Pascal's triangle. https://arxiv.org/abs/0809.1579

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