Geodesic
A note on a one-parameter family of Catalan-like numbers
Journal of integer sequences, Tome 12 (2009) no. 5
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.
Classification : 11B83, 11Y55, 42C05
Keywords: integer sequence, Catalan-like, riordan arrays, Hankel transform, orthogonal polynomials, Chebyshev polynomials 
@article{JIS_2009__12_5_a0,
     author = {Barry,  Paul},
     title = {A note on a one-parameter family of {Catalan-like} numbers},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {5},
     zbl = {1201.11032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_5_a0/}
}
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Barry,  Paul. A note on a one-parameter family of Catalan-like numbers. Journal of integer sequences, Tome 12 (2009) no. 5. http://geodesic.mathdoc.fr/item/JIS_2009__12_5_a0/