Ducci sequences of triples and continued fractions

DOI10.1080/10236198.2015.1101459zbMath1344.39001OpenAlexW2338071736MaRDI QIDQ3185990

Takanori Hida

Publication date: 8 August 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1101459

zbMATH Keywords

periodicitycontinued fractionStern-Brocot treeDucci mapquadratic irrational numberducci matrix sequence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) General theory of difference equations (39A05) Sequences and sets (11B99)

Related Items (2)

Stern-Brocot tree and Ducci map ⋮ Reversing the paths in the Ducci tree

Cites Work

• Matrix sequences associated with the Ducci map and the mediant construction of the rationals
• The n-number game for real numbers
• Limiting behavior in Ducci sequences
• Circles of numbers
• A Problem in Difference Sets
• Iterated strings and cellular automata.

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