Abstract:
This article discusses the reciprocal addition formula of multiplying the m-th and
n-th of Fibonacci numbers, where m and n are respectively even and odd integers,
using the floor function. The reciprocal addition formula obtained is proven by
using the Fibonacci number identities, the properties of the Fibonacci numbers, and
algebraic calculations. This article is a review of some of Wang and Liu’s articles
[Advances in Difference Equations, 136 (2016), 1-26].