Zeckendorf's theorem
id:
zeckendorf-s-theorem-163-2848976
title:
Zeckendorf's theorem
text:
In mathematics, Zeckendorf's theorem, named after Belgian amateur mathematician Edouard Zeckendorf, is a theorem about the representation of integers as sums of Fibonacci numbers. Zeckendorf's theorem states that every positive integer can be represented uniquely as the sum of one or more distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers. More precisely, if N is any positive integer, there exist positive integers ci ≥ 2, with ci + 1 > ci
brand slug:
wiki
category slug:
encyclopedia
description:
On the unique representation of integers as sums of non-consecutive Fibonacci numbers
original url:
https://en.wikipedia.org/wiki/Zeckendorf%27s_theorem
date created:
2005-01-09T10:14:31Z
date modified:
2024-08-28T06:40:34Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/1f/Zeckendorf_representations_89px.png","width":534,"height":534}
fields total:
13
integrity:
16