A Catalan transform and related transformations on integer sequences

Barry, Paul (2005) A Catalan transform and related transformations on integer sequences. Journal of Integer Sequences, 8. ISSN 1530-7638

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Official URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Barry...

Abstract

We introduce and study an invertible transformation on integer sequences related to the Catalan numbers. Transformation pairs are identified among classical sequences. A closely related transformation which we call the generalized Ballot transform is also studied, along with associated transformations. Results concerning the Fibonacci, Jacobsthal and Pell numbers are derived. Finally, we derive results about combined transformations.

Item Type: Article
Uncontrolled Keywords: Integer transforms, Catalan numbers, Fibonacci numbers, Jacobsthal numbers
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 21 Sep 2009 15:37
Last Modified: 22 Aug 2016 10:25
URI: http://repository.wit.ie/id/eprint/201

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