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论文类型：期刊论文

发表时间：2021-03-05

发表刊物：PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

卷号：63

期号：4

页面范围：1062-1070

ISSN号：0013-0915

关键字：Narayana numbers; t-stack sortable permutations; asymptotic normality; central limit theorem; local limit theorem

摘要：In this paper, we show that the numbers of t-stack sortable n-permutations with k - 1 descents satisfy central and local limit theorems for t = 1, 2, n - 1 and n - 2. This result, in particular, gives an affirmative answer to Shapiro's question about the asymptotic normality of the Narayana numbers.