A Note on a One-Parameter Family of Catalan-Like Numbers
Paul Barry
School of Science
Waterford Institute of Technology
Ireland
Abstract:
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.
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(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.
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