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A bijective proof of Cassini's Fibonacci identity - MaRDI portal

A bijective proof of Cassini's Fibonacci identity (Q1066146)

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scientific article; zbMATH DE number 3924785
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English
A bijective proof of Cassini's Fibonacci identity
scientific article; zbMATH DE number 3924785

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    A bijective proof of Cassini's Fibonacci identity (English)
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    1986
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    The authors provide a short combinatorial proof of the identity \(F^ 2_{n+1}-F_{n+2}F_ n=(-1)^{n+1}\), where \(F_ n\) denotes the n-th Fibonacci number.
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    combinatorial proof
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    Fibonacci number
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