Certain sequences of Wythoffian matrices, and maximal geometric progressions therein

DOI10.1016/0097-3165(94)90111-2zbMath0814.05069OpenAlexW2030985108MaRDI QIDQ1337174

Kenneth B. Stolarsky

Publication date: 30 November 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90111-2

zbMATH Keywords

sequencesRamsey theoryFibonacci numbersarithmetic progressionsvan der Waerden's theoremgeometric progressionsWythoff pairsWythoffian matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Ramsey theory (05D10) Arithmetic progressions (11B25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Semigroups (20M99)

Related Items (1)

A generating function technique for Beatty sequences and other step sequences

Cites Work

• Fibonacci multiplication
• Positive factors of Wythoff matrices
• Characterization of the set of values \(f(n)=[n \alpha , n=1,2,\dots \)]
• Half-Silvered Mirrors and Wythoff's Game
• Beatty Sequences, Continued Fractions, and Certain Shift Operators
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