New sums mixing harmonic numbers and central binomial coefficients
Abstract
We study two new classes of sums with inverse binomial coefficients and harmonic numbers. In addition we establish recursive solutions to the following power sums Ud(n)=∑k=1n22k(2kk)·kd and Vd(n)=∑k=1n22k(2kk)·kd Hk, where d is a positive integer.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Combinatorial Mathematics
Analytic Number Theory Research
Publication details
- Journal / source
- The Fibonacci Quarterly
- Pages
- 1–14
- Publication date
- 3 September 2026
- Language
- EN