Journal of Integer Sequences, Vol. 12 (2009), Article 09.5.4

A Note on a One-Parameter Family of Catalan-Like Numbers

Paul Barry
School of Science
Waterford Institute of Technology


We study a family of sequences of Catalan-like numbers based on the series reversion process. Properties of these sequences are derived, including continued fraction expansions, associated orthogonal polynomials and associated Aigner matrices, which turn out to be Riordan arrays.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000108 A001405 A007318 A084938 A120730 A151162 A151254 A151281 A156195 A156361 .)

Received March 11 2009; revised version received July 6 2009. Published in Journal of Integer Sequences, July 6 2009.

Return to Journal of Integer Sequences home page