Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.1

Generalized Catalan Numbers and Generalized Hankel Transformations

Marc Chamberland and Christopher French
Department of Mathematics and Statistics
Grinnell College
Grinnell, IA 50012

Abstract: 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.

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(Concerned with sequence A001906 .)

Received August 28 2006; revised version received December 6 2006. Published in Journal of Integer Sequences December 8 2006.

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