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• W3132696317 abstract "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." @default.
• W3132696317 created "2021-03-01" @default.
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• W3132696317 date "2021-02-16" @default.
• W3132696317 modified "2023-10-18" @default.
• W3132696317 title "Refined Eulerian numbers and ballot permutations" @default.
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• W3132696317 doi "https://doi.org/10.48550/arxiv.2102.08508" @default.
• W3132696317 hasPublicationYear "2021" @default.
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