On integer-sequence-based constructions of generalized pascal triangles

Barry, Paul (2006) On integer-sequence-based constructions of generalized pascal triangles. Journal of Integer Sequences, 9 (2). pp. 1-34. ISSN 1530-7638

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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 coefficients 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 briefly explored.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:03
Last Modified:	10 Jul 2023 19:50
URI:	http://repository-testing.wit.ie/id/eprint/3848

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