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Faculty of Engineering and Information Sciences - Papers: Part A

1991

Zeckendorf

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The Zeckendorf Representation And The Golden Sequence, Martin Bunder, Keith Tognetti Jan 1991

The Zeckendorf Representation And The Golden Sequence, Martin Bunder, Keith Tognetti

Faculty of Engineering and Information Sciences - Papers: Part A

The Zeckendorf representation of a number is simply the representation of that number as the sum of distinct Fibonacci numbers. If the number of terms of this sum is minimized, that representation is unique, as also is the representation when the number of terms is maximized.