Generalized Catalan Numbers, Hankel Transforms and Somos-4 Sequences
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
Full version: pdf,
(Concerned with sequences
Received May 10 2010;
revised version received June 23 2010.
Published in Journal of Integer Sequences, July 9 2010.
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