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Catalan-like Numbers and Succession Rules by Ferrari, Luca; Pinzani, Renzo is a scholarly article available to read on EtoBox.

What is Catalan-like Numbers and Succession Rules about?

The ECO method and the theory of Catalan-like numbers introduced by Aigner seems two completely unrelated combinatorial settings. In this work we try to establish a bridge between them, aiming at starting a (hopefully) fruitful study on their interactions. We show that, in a linear algebra context (more precisely, using infinite matrices), a succession rule can be translated into a (generalized) Aigner matrix by means of a suitable change of basis in the vector space of one-variable polynomials. We provide some examples to illustrate this fact and apply it to the study of two particular classes of succession rules.

Author

Ferrari, Luca; Pinzani, Renzo

Published

2005

Language

EN