A two-parameter family of an extension of Beatty sequences

DOI10.1016/j.disc.2007.08.070zbMath1194.11030OpenAlexW2130371621WikidataQ103559935 ScholiaQ103559935MaRDI QIDQ941402

Shiri Artstein-Avidan, Aviezri S. Fraenkel, Vera T. Sós

Publication date: 4 September 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.08.070

zbMATH Keywords

Sturmian sequencesextension of Beatty sequencesgap structuresequences of differences

Mathematics Subject Classification ID

Combinatorics on words (68R15) Special sequences and polynomials (11B83)

Related Items (5)

Multi-player small Nim with passes ⋮ Adjoining to \((s,t)\)-Wythoff's game its \(P\)-positions as moves ⋮ Multi-player Wythoff's game and its variants ⋮ Morphic words, Beatty sequences and integer images of the Fibonacci language ⋮ Generalized Beatty sequences and complementary triples

Cites Work

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• Nonhomogeneous spectra of numbers
• Heap games, numeration systems and sequences
• On the complexity of infinite sequences
• Sturmian morphisms
• Fraenkel's conjecture for six sequences
• A linear algorithm for nonhomogeneous spectra of numbers
• STURMIAN WORDS AND AMBIGUOUS CONTEXT-FREE LANGUAGES
• Spectra of Numbers
• Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups
• How to Beat Your Wythoff Games' Opponent on Three Fronts
• The subword complexity of a two-parameter family of sequences

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