On One-Parameter Catalan Arrays
Combinatorics
2015-05-22 v1
Abstract
We present a parametric family of Riordan arrays which are obtained by multiplying any Riordan array with a generalized Pascal array. In particular, we focus on some interesting properties of one-parameter Catalan triangles. We obtain several combinatorial identities that involve two special Catalan matrices, the Chebyshev polynomials of the second kind, some periodic sequences, and the Fibonacci numbers.
Keywords
Cite
@article{arxiv.1505.05568,
title = {On One-Parameter Catalan Arrays},
author = {José Agapito and Ângela Mestre and Pasquale Petrullo and Maria M. Torres},
journal= {arXiv preprint arXiv:1505.05568},
year = {2015}
}
Comments
13 pages