A Note On The Generalized k-Fibonacci Sequence

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NATURENGS
Volume:2 Issue:2
A Note On The Generalized k-Fibonacci Sequence

A Note On The Generalized k-Fibonacci Sequence

Authors : Yashwant PANWAR

Pages : 29-39

Doi:10.46572/naturengs.937010

View : 15 | Download : 8

Publication Date : 2021-12-18

Article Type : Research Paper

Abstract :In this paper, we present a generalization of well-known k-Fibonacci sequence. Namely, we defined generalized k-Fibonacci sequence. This sequence generalizes others, k-Fibonacci sequence, classical Fibonacci sequence, Pell sequence and Jacobsthal sequence. We establish some of the interesting properties of generalized k-Fibonacci sequence. Also, we obtain a generating function for them.
Keywords : Generalized k Fibonacci sequence, k Fibonacci sequence, Fibonacci sequence, Binets formula, Generating function

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