Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients 2nn

We find various series that involves the central binomial coefficients 2nn, harmonic numbers and Fibonacci Numbers.\\ Contrary to the traditional hypergeometric function ₚFq approach, our method utilizes a straightforward transformation to obtain new evaluations linked to Fibonacci numbers and the golden ratio. Before the end of this paper, we also gave a new series representation for ζ(2).