Geodesic
On unimodality problems in Pascal's triangle
The electronic journal of combinatorics, Tome 15 (2008)

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Zbl arXiv EuDML
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.
DOI : 10.37236/837
Classification : 05A10, 05A20
Mots-clés : binomial coefficients, unimodality properties, Pascal triangle 
Xun-Tuan Su; Yi Wang. On unimodality problems in Pascal's triangle. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/837
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     author = {Xun-Tuan Su and Yi Wang},
     title = {On unimodality problems in {Pascal's} triangle},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/837},
     zbl = {1165.05302},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/837/}
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