Journal of Integer Sequences, Vol. 6 (2003), Article 03.1.7

A Note on Rational Succession Rules


Enrica Duchi
Dipartimento di Sistemi e Informatica, Via Lombroso 6/17
50134 Firenze, Italy

Andrea Frosini
Dipartimento di Matematica, Via del Capitano, 15
53100 Siena, Italy

Renzo Pinzani
Dipartimento di Sistemi e Informatica, Via Lombroso 6/17
50134 Firenze, Italy

Simone Rinaldi
Dipartimento di Matematica, Via del Capitano, 15
53100 Siena, Italy

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.

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(Concerned with sequences A001519 A005246 A002315 .)

Received December 23, 2002; revised version received April 22, 2003. Published in Journal of Integer Sequences April 24, 2003.

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