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In [[mathematics]], a sequence {{math|''a''<sub>0</sub>, ''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub>}} of nonnegative real numbers is called a '''logarithmically concave sequence''' if {{math|''a''<sub>''i''</sub><sup>2</sup> > ''a''<sub>''i''−1</sub>''a''<sub>''i''+1</sub>}} holds for {{math|0 < ''i'' < ''n''}}.
#REDIRECT [[Logarithmically concave function]]▼
Examples of log-concave sequences are given by the [[binomial coefficient]]s along any row of [[Pascal's triangle]].
==References==
{{Reflist}}
* {{cite journal|last=Stanley|first=R. P.|title=Log-Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry|journal=Annals of the New York Academy of Sciences|year=1989|month=December|volume=576|pages=500-535|doi=0.1111/j.1749-6632.1989.tb16434.x}}
==See also==
*[[Unimodality]]
*[[Logarithmically concave measure]]
[[Category:Elementary mathematics]]
[[Category:Sequences and series|*]]
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