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Abstract: Succession rules having a rational generating function are usually called rational succession rules. In this note we discuss some problems concerning rational succession rules, and determine a simple method to pass from a rational generating function to a rational succession rule, both defining the same number sequence. (Update)
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BibTeX entry: (Update)
@article{ duchi03note,
author = "Enrica Duchi and Andrea Frosini et al.",
title = "A Note on Rational Succession Rules",
number = "03.1.7",
journal = "Journal of Integer Sequences",
volume = "6",
year = "2003",
url = "citeseer.ist.psu.edu/duchi03note.html" }
Citations (may not include all citations):104 Automata-Theoretic Aspects of Formal Power Series (context) - Salomaa, Soittola - 1978
23 Generating functions for generating trees - Banderier, Bousquet-M et al. - 2002
17 ECO: a methodology for the enumeration of combinatorial obje.. (context) - Barcucci, Lungo et al. - 1999
6 oder numbers arising from combinatorial statistics on lattic.. (context) - Bonin, Shapiro et al. - 1993
2 An algebraic characterization of the set of succession rules (context) - Ferrari, Pergola et al. - 2002
2 A combinatorial interpretation of the Area of Schroder path.. - Pergola, Pinzani - 1999
1 A technology for reverseengineering a combinatorial problem .. (context) - Barcucci, Lungo et al. - 2001
1 Some linear recurrences and their combinatorial interpretati.. (context) - Barcucci, Rinaldi - 2001
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