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arXiv · 1701.08566

Properties of Periodic Fibonacci-like Sequences

Alexander V. Evako
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Abstract

Generalized Fibonacci-like sequences appear in finite difference approximations of the Partial Differential Equations based upon replacing partial differential equations by finite difference equations. This paper studies properties of the generalized Fibonacci-like sequence F_(n+2)=A+BF_(n+1)+CF_n. It is shown that this sequence is periodic with the period T>2 if C=-1,|B|<2.

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Alexander V. Evako. 2017-01-30. Properties of Periodic Fibonacci-like Sequences. https://doi.org/10.12691/amp-5-1-2

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