A note on a one-parameter family of Catalan-like numbers

Barry, P (2009) A note on a one-parameter family of Catalan-like numbers. Journal of Integer Sequences, 12 (5). Article 09.5.4. ISSN 1530-7638

[img]
Preview
PDF
Catalan_like.pdf

Download (129kB) | Preview
Official URL: http://www.cs.uwaterloo.ca/journals/JIS/vol12.html

Abstract

We study a family of sequences of Catalan-like numbers based on the series reversion process. Properties of these sequences are derived, including continued fraction expansions, associated orthogonal polynomials and associated Aigner matrices, which turn out to be Riordan arrays.

Item Type: Article
Uncontrolled Keywords: Integer sequence, Catalan-like, Riordan arrays, Hankel transform, Chebyshev polynomials
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 21 Sep 2009 15:34
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/1377

Actions (login required)

View Item View Item