@article{amp2017512,
author={Evako, Alexander V.},
title={Periodicity of Generalized Fibonacci-like Sequences},
journal={Applied Mathematics and Physics},
volume={5},
number={1},
pages={11--18},
year={2017},
url={http://pubs.sciepub.com/amp/5/1/2},
issn={2333-4886},
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<SUB>n+2</SUB>=A+BF<SUB>n+1</SUB>+CF<SUB>n</SUB>. It is shown that this sequence is periodic with period T>2, if C= -1, |B|&lt;2.},
doi={10.12691/amp-5-1-2}
publisher={Science and Education Publishing}
}