Catalan continued fractions and increasing subsequences in permutations
type: Item
instance of: scholarly article
title: Catalan continued fractions and increasing subsequences in permutations
zbMATH Open document ID: 1014.05003
DOI: 10.1016/S0012-365X(02)00353-9
author: Petter Brändén
author: Anders Claesson
author: Einar Steingrímsson
published in: Discrete Mathematics
publication date: 2002-12-02T00:00:00Z
review text: A Stieltjes continued fraction with monic monomial numerators is called a Catalan continued fraction. The authors prove that any Catalan continued fraction is the multivariate generating function of a family of statistics on the 132-avoiding permutations.
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1839035
zbMATH Keywords: Stieltjes continued fraction
zbMATH Keywords: Catalan continued fraction
zbMATH Keywords: generating function
zbMATH Keywords: permutations
reviewed by: Le Maohua
MaRDI profile type: Publication
full work available at URL: s0012-365x(02)00353-9
OpenAlex ID: W2072036387
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description: scientific article; zbMATH DE number 1839035