Production matrices and Riordan arrays

Mathematics – Combinatorics

Scientific paper

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accepted for publication on Annals of Combinatorics

Scientific paper

We translate the concept of succession rule and the ECO method into matrix
notation, introducing the concept of a production matrix. This allows us to
combine our method with other enumeration techniques using matrices, such as
the method of Riordan matrices. Finally we treat the case of rational
production matrices, i.e. those leading to rational generating functions.

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