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Fibonacci expansions (Q2075649)

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Fibonacci expansions
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    Fibonacci expansions (English)
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    15 February 2022
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    Summary: Expansions in the Golden ratio base have been studied since a pioneering paper of Rényi more than sixty years ago. We introduce closely related expansions of a new type, based on the Fibonacci sequence, and we show that in some sense they behave better.
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    non-integer base expansions
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    Kakeya sequences
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    Fibonacci sequence
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    Golden ratio
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