On integer-sequence-based constructions of generalized Pascal triangles, J. Integer Sequences

Barry, Paul (2006) On integer-sequence-based constructions of generalized Pascal triangles, J. Integer Sequences. Journal of Integer Sequences, 9. ISSN 1530-7638

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Official URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Barry...

Abstract

We introduce an integer sequence based construction of invertible centrally symmetric number triangles, which generalize Pascal's triangle. We characterize the row sums and central coe±cients of these triangles, and examine other properties. Links to the Narayana numbers are explored. Use is made of the Riordan group to elucidate properties of a special one-parameter subfamily. An alternative exponential approach to constructing generalized Pascal triangles is briefy explored.

Item Type: Article
Departments or Groups: *NONE OF THESE*
Divisions: School of Science > Department of Computing, Maths and Physics
Depositing User: Paul Barry
Date Deposited: 06 May 2007 22:58
Last Modified: 22 Aug 2016 10:25
URI: http://repository.wit.ie/id/eprint/199

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