Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers

Abstract

We prove some finite sum identities involving reciprocals of the binomial and central binomial coefficients, as well as harmonic, Fibonacci and Lucas numbers, some of which recover previously known results, while the others are new.

Keywords

• binomial coefficient
• central binomial coefficient
• harmonic number
• harmonic number sum
• fibonacci numbers
• lucas numbers