Mathematics – Combinatorics
Scientific paper
2008-09-09
The Electronic Journal of Combinatorics 15 (2008) #R113
Mathematics
Combinatorics
12 pages, 2 figures
Scientific paper
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.
Su Xun-Tuan
Wang Yi
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