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The -Vectors of Pascal-like Triangles Defined by Riordan Arrays
We define and characterize the -matrix associated to Pascal-like
matrices that are defined by ordinary and exponential Riordan arrays. We also
define and characterize the -matrix of the reversions of these
triangles, in the case of ordinary Riordan arrays. We are led to the
-matrices of a one-parameter family of generalized Narayana triangles.
Thus these matrices generalize the matrix of -vectors of the
associahedron. The principal tools used are the bivariate generating functions
of the triangles and Jacobi continued fractions.Comment: 20 page