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math.NT2018★ 8 cited
The Generalized Zeckendorf Game
Paul Baird-Smith, Alyssa Epstein, Kristen Flint +1
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers; a similar result, though with a different notion of a legal…
math.NT2018
The Zeckendorf Game
Paul Baird-Smith, Alyssa Epstein, Kristen Flint +1
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers. We use this to create a two-player game. Given a fixed integ…