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: | https://repository.wit.ie/id/eprint/199 |
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