ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS

Authors : GAMALIEL CERDAMORALES

Pages : 96-101

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Publication Date : 2017-10-15

Article Type : Research Paper

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