A combinatorial proof of the log-concavity of a famous sequence counting permutations (Q1773144)
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scientific article; zbMATH DE number 2161260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial proof of the log-concavity of a famous sequence counting permutations |
scientific article; zbMATH DE number 2161260 |
Statements
A combinatorial proof of the log-concavity of a famous sequence counting permutations (English)
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25 April 2005
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The author proves combinatorially that the sequence \((i(n,k))_{0\leq k\leq{n\choose 2}}\) of the numbers of permutations of length \(n\) with \(k\) inversions is log-concave for any \(n\).
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log-concavity
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inversion number of permutations
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non-generating function proof
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