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Badshah, V.H., Teeth, M.S. and Dar, M.M., ‘Generalized Fibonacci-Like Sequence and its Properties”, Int. J. Contemp. Math. Sciences,7(24) (2012) 1155-1164.

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Article

Periodicity of Generalized Fibonacci-like Sequences

1“Dianet”, Laboratory of Digital Technologies, Moscow, Russia


Applied Mathematics and Physics. 2017, Vol. 5 No. 1, 11-18
DOI: 10.12691/amp-5-1-2
Copyright © 2017 Science and Education Publishing

Cite this paper:
Alexander V. Evako. Periodicity of Generalized Fibonacci-like Sequences. Applied Mathematics and Physics. 2017; 5(1):11-18. doi: 10.12691/amp-5-1-2.

Correspondence to: Alexander  V. Evako, “Dianet”, Laboratory of Digital Technologies, Moscow, Russia. Email: evakoa@mail.ru

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 Fn+2=A+BFn+1+CFn. It is shown that this sequence is periodic with period T>2, if C= -1, |B|<2.

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