eng Science and Education Publishing Applied Mathematics and Physics 2333-4886 2017-02-10 5 1 11 18 10.12691/amp-5-1-2 AMP2017512 article Alexander V. Evako evakoa@mail.ru 1 "Dianet", Laboratory of Digital Technologies, Moscow, Russia 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. http://pubs.sciepub.com/amp/5/1/2/amp-5-1-2.pdf generalized fibonacci-like sequence periodicity discrete dynamical system PDE graph network digital space