This paper introduces a new statistic for alternating permutations, called an alternating descent. Specifically this paper focuses on alternating permutations with one alternating descent. We then enumerate these permutations by decomposing them into four sets.
"Enumerating Alternating Permutations with One Alternating Descent,"
DePaul Discoveries: Volume 2, Article 2.
Available at: https://via.library.depaul.edu/depaul-disc/vol2/iss1/2