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How to recognize a Fibonacci number? - MaRDI portal

How to recognize a Fibonacci number? (Q1303598)

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scientific article; zbMATH DE number 1337928
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How to recognize a Fibonacci number?
scientific article; zbMATH DE number 1337928

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    How to recognize a Fibonacci number? (English)
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    22 January 2000
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    Das Kriterium lautet: Die ganze Zahl \(z> 1\) ist genau dann Fibonacci-Zahl, wenn das abgeschlossene Intervall \([\Phi z-\frac 1z, \Phi z+\frac 1z]\) eine ganze Zahl \(r\) enthält, wobei \(\Phi= \frac{1+\sqrt{5}}{2}\).
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    Fibonacci number
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