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Fibonacci and Lucas Numbers

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From Great Discoveries in Number Theory to Applications

Abstract

In the literature, the Fibonacci numbers are usually denoted by \(F_n\), but this symbol is already reserved for the Fermat numbers in this book. So we will denote them by \(K_n\). The sequence of Fibonacci numbers \(\,\,(K_n)_{n=0}^\infty \,\,\) starts with \(K_0=0\) and \(K_1=1\) and satisfies the recurrence.

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Notes

  1. 1.

    The solution of the linear difference equations of the kth order is described, for example, in Henrici [143, p. 213].

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Correspondence to Michal Křížek .

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Křížek, M., Somer, L., Šolcová, A. (2021). Fibonacci and Lucas Numbers. In: From Great Discoveries in Number Theory to Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-83899-7_7

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