On unimodality problems in Pascal's triangle

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dc.creatorSu, Xun-Tuan
dc.creatorWang, Yi
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:45Z
dc.date.available2026-07-07T10:01:45Z
dc.descriptionMany 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.
dc.description12 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0809.1579
dc.identifierhttp://arxiv.org/abs/0809.1579
dc.identifierThe Electronic Journal of Combinatorics 15 (2008) #R113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168735
dc.subjectCombinatorics
dc.subject05A10;05A20
dc.titleOn unimodality problems in Pascal's triangle
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