Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients 2nn
Abstract
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).
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.