ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS

Year 2017, Volume: 5 Issue: 2, 96 - 101, 15.10.2017

GAMALIEL Cerda-morales

Abstract

In this paper, new families of generalized Fibonacci and Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for $k=2$.

Keywords

Horadam sequences , generalized Fibonacci numbers , generating ma- trix , generating function , recurrence relations

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