Marinee Mayusoh, Norhayatee Cheberaheng, Ronnason Chinram, Pattarawan Petchkaew
Abstract
In this paper, we give some new identities for a family of Fibonacci and Lucas numbers. We investigate the relationships among Fibonacci, Lucas, generalized k-Fibonacci, and generalized k-Lucas numbers and we also prove some properties of those numbers.
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In this paper, we give some new identities for a family of Fibonacci and Lucas numbers. We investigate the relationships among Fibonacci, Lucas, generalized k-Fibonacci, and generalized k-Lucas numbers and we also prove some properties of those numbers.
Key concepts: Fibonacci number, Lucas number, Lucas sequence, Fibonacci polynomials, Pisano period, Mathematics, Combinatorics, Discrete mathematics