On Unimodality Problems in Pascal's Triangle
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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.
2004 ◽
Vol 88
(513)
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pp. 447-456
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1994 ◽
Vol 17
(3)
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pp. 545-552
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2021 ◽
Vol 8
(8)
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pp. 75-80
2008 ◽
Vol 92
(525)
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pp. 454-465
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