Barry, Paul

On a generalization of the narayana triangle

J. Integer Seq. 14(4), Article 11.4.5, 22 p., electronic only (2011)

Summary

Summary: 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.

Mathematics Subject Classification

11B83, 05A10, 05A15, 11B37, 11Y55, 15A15, 15A30, 30B70

Keywords/Phrases

narayana triangle, continued fraction, riordan array, Hankel determinant, Hankel transform, somos-4

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