The three 'R's and Dual Riordan Arrays

Abstract: 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 example of the approach, we give new recurrence relations for the sequences of Patalan numbers. We also consider the concepts of recursive matrices and dual Riordan arrays, and their application to previous work on the super Patalan numbers.