Asymptotic normality in t-stack sortable permutations
2020 ◽
Vol 63
(4)
◽
pp. 1062-1070
Keyword(s):
AbstractIn 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.
Keyword(s):
2019 ◽
Vol 16
(1)
◽
pp. 817
◽
2021 ◽
Vol 66
(3)
◽
pp. 474-481