The Zeckendorf representation and the Golden Sequence

Authors

Martin Bunder, University of WollongongFollow
Keith Tognetti, University of WollongongFollow

RIS ID

87117

Publication Details

Bunder, M. & Tognetti, K. (1991). The Zeckendorf representation and the Golden Sequence. The Fibonacci Quarterly: a journal devoted to the study of integers with special properties, 29 (3), 217-219.

Abstract

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.