Permutations Containing and Avoiding 123and 132Patterns

We prove that the number of permutations which avoid 132-patterns and have exactly one 123-pattern, equals (n-2)2 n-3, for n≥3. We then give a bijection onto the set of permutations which avoid 123-patterns and have exactly one 132-pattern. Finally, we show that the number of permutations...

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Bibliographic Details
Main Author: Aaron Robertson
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1999-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/104