65 citations
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Showing 2005Show all
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math.CO2005
Classifying Descents According to Parity
Sergey Kitaev, Jeffrey Remmel
In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…
math.CO2005★ 5 cited
Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations
Sergey Kitaev, Tyrrell B. McAllister, T. Kyle Petersen
A composition of a nonnegative integer (n) is a sequence of positive integers whose sum is (n). A composition is palindromic if it is unchanged when its terms are read in reverse o…