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On the k-Fibonacci-Like Numbers

Yashwant K. Panwar1,, G. P. S. Rathore2, Richa Chawla3

1Department of Mathematics and MCA, Mandsaur Institute of Technology, Mandsaur, India

2Department of Mathematical Sciences, College of Horticulture, Mandsaur, India

3School of Studies in Mathematics, Vikram University, Ujjain, India

Turkish Journal of Analysis and Number Theory. 2014, 2(1), 9-12. DOI: 10.12691/tjant-2-1-3
Published online: August 25, 2017

Abstract

The Fibonacci number is famous for possessing wonderful and amazing properties. In this study, we introduce the k-Fibonacci-Like number and related identities. We establish some of the interesting properties of k-Fibonacci-Like number. We shall use the Induction method and Binet’s formula for derivation.

Keywords:

k-Fibonacci numbers, k-Fibonacci-Like numbers, Binet’s formula
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