2014•Applied mathematics and physicsOpen access

k-Generalized Fibonacci Numbers

Yashwant Kumar Panwar, Mamta Singh

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Abstract

In this paper, we present the k-Generalized Fibonacci sequence. This sequence generalizes other, Generalized Fibonacci sequence. Generalized Fibonacci sequence was introduced by Gupta, Panwar and Sikhwal in 2012. We establish some of the interesting properties of k- Generalized Fibonacci sequence.

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What this paper is about

In this paper, we present the k-Generalized Fibonacci sequence. This sequence generalizes other, Generalized Fibonacci sequence. Generalized Fibonacci sequence was introduced by Gupta, Panwar and Sikhwal in 2012. We establish some of the interesting properties of k- Generalized Fibonacci sequence.

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Available abstract

In this paper, we present the k-Generalized Fibonacci sequence. This sequence generalizes other, Generalized Fibonacci sequence. Generalized Fibonacci sequence was introduced by Gupta, Panwar and Sikhwal in 2012. We establish some of the interesting properties of k- Generalized Fibonacci sequence.

Key concepts: Fibonacci number, Fibonacci polynomials, Pisano period, Sequence (biology), Mathematics, Lucas sequence, Combinatorics, Lucas number

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