The accelerated Zeckendorf game

MaRDI QIDQ6492235

Steven J. Miller, Diego Garcia-Fernandezsesma, Ajmain Yamin, Risa Vandegrift, Thomas Rascon

Publication date: 24 April 2024

Published in: The Fibonacci Quarterly (Search for Journal in Brave)

Mathematics Subject Classification ID

2-person games (91A05) Combinatorial games (91A46) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Generalizing Zeckendorf's theorem to \(f\)-decompositions
• The distribution of gaps between summands in generalized Zeckendorf decompositions
• Contributions to digit expansions with respect to linear recurrences
• Generalized Zeckendorf expansions
• Corrigendum to ``Generalized Zeckendorf expansions
• Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions
• On the number of summands in Zeckendorf decompositions
• The Zeckendorf Game
• Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals
• Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation
• The Generalized Zeckendorf Game
• Winning Strategy for the Multiplayer and Multialliance Zeckendorf Games
• Bounds on Zeckendorf Games
• The Fibonacci Quilt Game
• Gaussian Behavior in Generalized Zeckendorf Decompositions
• The Average Gap Distribution for Generalized Zeckendorf Decompositions
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