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Bijections and the Riordan group. (English) Zbl 1048.05008
Summary: One of the cornerstone ideas in mathematics is to take a problem and to look at it in a bigger space. We examine combinatorial sequences in the context of the Riordan group. Various subgroups of the Riordan group each give us a different view of the original sequence. In many cases this leads to both a combinatorial interpretation and to ECO rewriting rules. We concentrate on just four of the subgroups of the Riordan group to demonstrate some of the possibilities of this approach.

05A15 Exact enumeration problems, generating functions
Full Text: DOI
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