Journal of Integer Sequences, Vol. 13 (2010), Article 10.7.2

Generalized Catalan Numbers, Hankel Transforms and Somos-4 Sequences

Paul Barry
School of Science
Waterford Institute of Technology


We study families of generalized Catalan numbers, defined by convolution recurrence equations. We explore their relations to series reversion, Riordan array transforms, and in a special case, to Somos-4 sequences via the mechanism of the Hankel transform.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000007 A000045 A000108 A001003 A001006 A006318 A007318 A007440 A128720 A174168.)

Received May 10 2010; revised version received June 23 2010. Published in Journal of Integer Sequences, July 9 2010.

Return to Journal of Integer Sequences home page