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The Fibonacci sequence \(F_n\) has as its first two members \(F_0=0\) , \(F_1=1\) and every subsequent member is the sum of the previous two: \(F_{n+2}=F_{n+1}+F_{n}\) . Although there is a substantial literature on Fibonacci and related sequences we really only need this simple sum property and some elementary related facts collected here.

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Fibonacci Numbers, the Golden Ratio, and Co-prime Integers

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  • 发表日期：

    2025年

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  • Jonathan Swinton

摘要

The Fibonacci sequence \(F_n\) has as its first two members \(F_0=0\) , \(F_1=1\) and every subsequent member is the sum of the previous two: \(F_{n+2}=F_{n+1}+F_{n}\) . Although there is a substantial literature on Fibonacci and related sequences we really only need this simple sum property and some elementary related facts collected here.