Experimental Mathematics

Patterns in {$1$}-additive sequences

Steven R. Finch

Abstract

Queneau observed that certain 1-additive sequences (defined by Ulam) are regular in the sense that differences between adjacent terms are eventually periodic. This paper extends Queneau's work and my recent work toward characterizing periods and fundamental differences of all regular 1-additive sequences. Relevant computer investigations of associated nonlinear recurring sequences give rise to unexpected evidence suggesting several conjectures.

Article information

Source
Experiment. Math. Volume 1, Issue 1 (1992), 57-63.

Dates
First available in Project Euclid: 26 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1048709116

Mathematical Reviews number (MathSciNet)
MR93h:11014

Zentralblatt MATH identifier
0767.11012

Subjects
Primary: 11B13: Additive bases, including sumsets [See also 05B10]

Citation

Finch, Steven R. Patterns in {$1$}-additive sequences. Experiment. Math. 1 (1992), no. 1, 57--63. https://projecteuclid.org/euclid.em/1048709116.


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