Central binomial coefficients also count (2431,4231,1432,4132)-avoiders
classification
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binomialcentralcoefficientspermutationsavoidersavoidingbijectiveconcerned
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This short paper is concerned with the enumeration of permutations avoiding the following four patterns: $2431$, $4231$, $1432$ and $4132$. Using a bijective construction, we prove that these permutations are counted by the central binomial coefficients.
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