2 citations · 2 across the 4 of their papers we have counts for
4 papers
Catalan Numbers and Jacobi Polynomials
Thomas M. Richardson
We prove that the inverse of the Hankel matrix of the reciprocals of the Catalan numbers has integer entries. We generalize the result to an infinite family of generalized Catalan…
The three 'R's and Dual Riordan Arrays
Thomas M. Richardson
We describe how the reversion of a series is related to convolutional recurrence relations for the series, and we place this relationship in the context of Riordan arrays. As an ex…
The Super Patalan Numbers
Thomas M. Richardson
We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analagous to those of the super Catal…
The Reciprocal Pascal Matrix
Thomas M. Richardson
The reciprocal Pascal matrix is the Hadamard inverse of the symmetric Pascal matrix. We show that the ordinary matrix inverse of the reciprocal Pascal matrix has integer elements.…