A Note On The Generalized k-Fibonacci Sequence

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Tarih

2021

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Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Generalized k-Fibonacci Sequence, k-Fibonacci Sequence, Fibonacci Sequence, Binet’s Formula, Generating Function

Kaynak

NATURENGS

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Cilt

2

Sayı

2

Künye

Panwar, Y. (2021). A Note On The Generalized k-Fibonacci Sequence . NATURENGS , 2 (2) , 29-39 . DOI: 10.46572/naturengs.937010