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arXiv · 1302.0357

A trick around Fibonacci, Lucas and Chebyshev

Aimé Lachal
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Abstract

In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence. We give explanations and extensions of this trick to more general sequences. This study leads us to interesting connections between Fibonacci, Lucas sequences and Chebyshev polynomials.

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Aimé Lachal. 2013-02-02. A trick around Fibonacci, Lucas and Chebyshev. https://arxiv.org/abs/1302.0357

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