Refined Eulerian numbers and ballot permutations
نویسندگان
چکیده
In this article, we obtained a formula in close form for the multivariate generating function of {A(n,d,j)}n,d,j, where A(n,d,j) denote number permutations length n with d descents and j as first letter. addition to this, by series calculations generatingfunctionology, confirm recent enumerative conjecture Wang Zhang ballot permutations, which are any prefix descent is not more than ascent number.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2022
ISSN: ['1090-2074', '0196-8858']
DOI: https://doi.org/10.1016/j.aam.2021.102300