Dergiler / NATURENGS / 2021 / Cilt: 2 - Sayı: 2

A Note On The Generalized k-Fibonacci Sequence

A Note On The Generalized k-Fibonacci Sequence

Yashwant PANWAR

Sayfa
29–39
DOI
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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.