Journal of Integer Sequences, Vol. 14 (2011), Article 11.4.5

On a Generalization of the Narayana Triangle

Paul Barry
School of Science
Waterford Institute of Technology


By studying various ways of describing the Narayana triangle, we provide a number of generalizations of this triangle and study some of their properties. In some cases, the diagonal sums of these triangles provide examples of Somos-4 sequences via their Hankel transforms.

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(Concerned with sequences A000007 A000045 A000108 A000891 A001006 A001147 A001263 A004148 A005425 A006318 A007318 A025245 A025250 A025253 A046980 A050512 A051286 A090181 A098181 A100862 A124216 A131198 A162745 A174882.)

Received September 23 2010; revised version received March 22 2011. Published in Journal of Integer Sequences, March 26 2011.

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