arXiv · math/0302202
Periodic de Bruijn triangles: exact and asymptotic results
Abstract
We study the distribution of the number of permutations with a given periodic up-down sequence w.r.t. the last entry, find exponential generating functions and prove asymptotic formulas for this distribution.
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B. Shapiro, M. Shapiro, A. Vainshtein. 2003-02-18. Periodic de Bruijn triangles: exact and asymptotic results. https://arxiv.org/abs/math/0302202
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