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arXiv · 1903.01313

Simson Identity of Generalized m-step Fibonacci Numbers

Yüksel Soykan
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Abstract

One of the best known and oldest identities for the Fibonacci sequence $F_n$ is $F_{n+1}F_{n-1}-F_{n}^2=(-1)^n$ which was derived first by R. Simson in 1753 and it is now called as Simson or Cassini Identity. In this paper, we generalize this result to generalized m-step Fibonacci numbers and give an attractive formula. Furthermore, we present some Simson's identities of particular generalized m-step Fibonacci sequences.

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Yüksel Soykan. 2019-03-04. Simson Identity of Generalized m-step Fibonacci Numbers. https://arxiv.org/abs/1903.01313

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