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math.CO2006★ 2 cited
Parity-Alternate Permutations and Signed Eulerian Numbers
Shinji Tanimoto
In order to study signed Eulerian numbers, we introduce permutations of a particular type, called parity-alternate permutations, because they take even and odd entries alternately.…
math.CO2006
A New Approach to Signed Eulerian Numbers
Shinji Tanimoto
The numbers of even and odd permutations with a given ascent number are investigated using an operator that was previously introduced by the author. Their difference is called a si…