Chamberland, Marc; French, Christopher

Generalized Catalan numbers and generalized Hankel transformations

J. Integer Seq. 10(1), Article 07.1.1, 7 p., electronic only (2007)

Summary

Summary: Cvetković, Rajković and Ivković proved that the Hankel transformation of the sequence of sums of adjacent Catalan numbers is a sequence of every other Fibonacci number. In this paper, an elementary proof is given and a generalization to sequences of generalized Catalan numbers.

Mathematics Subject Classification

11B37, 11B39, 11B75

Keywords/Phrases

generalized Catalan numbers, Hankel transform

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