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narayana numbers

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Asymptotic normality in t-stack sortable permutations
Part of
Xi Chen, Jianxi Mao, Yi Wang
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 63 / Issue 4 / November 2020

Published online by Cambridge University Press:

04 November 2020, pp. 1062-1070
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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.