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math.CO2022
Alternating runs of permutations and the central factorial numbers
Qi Fang, Ya-Nan Feng, Shi-Mei Ma
Let R(n,k) be the number of permutations of with k alternating runs. In this paper, we establish the relationships between R(n,k) and the central factorial numbe…
math.CO2021★ 2 cited
Alternating Eulerian polynomials and left peak polynomials
Shi-Mei Ma, Qi Fang, Toufik Mansour +1
In this paper we present grammatical interpretations of the alternating Eulerian polynomials of types A and B. As applications, we derive several properties of the type B alternati…