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Refined Eulerian numbers and ballot permutations by Zhao, Tongyuan; Sun, Yue; Zhao, Feng is a scholarly article available to read on EtoBox.

What is Refined Eulerian numbers and ballot permutations about?

A ballot permutation is a permutation {\pi} such that in any prefix of {\pi} the descent number is not more than the ascent number. In this article, we obtained a formula in close form for the multivariate generating function of {A(n,d,j)}, which denote the number of permutations of length n with d descents and j as the first letter. Besides, by a series of calculations with generatingfunctionology, we confirm a recent conjecture of Wang and Zhang for ballot permutations.

Author

Zhao, Tongyuan; Sun, Yue; Zhao, Feng

Published

2021

Language

EN