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S. Vajda, Fibonacci and Lucas numbers, and the golden section. Theory and applications. Chichester: Ellis Horwood limited (1989).

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Article

On the k-Fibonacci-Like Numbers

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, Vol. 2 No. 1, 9-12
DOI: 10.12691/tjant-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Yashwant K. Panwar, G. P. S. Rathore, Richa Chawla. On the k-Fibonacci-Like Numbers. Turkish Journal of Analysis and Number Theory. 2014; 2(1):9-12. doi: 10.12691/tjant-2-1-3.

Correspondence to: Yashwant  K. Panwar, Department of Mathematics and MCA, Mandsaur Institute of Technology, Mandsaur, India. Email: yashwantpanwar@gmail.com

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.

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