# Cubic alternating harmonic number sums

## TL;DR

This paper extends previous work on quadratic alternating harmonic number sums to cubic sums, providing new closed-form formulas and exploring special cases and consequences.

## Contribution

It introduces novel closed-form representations for sums involving cubic alternating harmonic numbers and reciprocal binomial coefficients, expanding the theoretical framework.

## Key findings

- Derived new closed-form formulas for cubic sums
- Identified interesting special cases and consequences
- Extended previous quadratic sum results to cubic sums

## Abstract

A recent paper of A. Sofo proves some results about sums of products of quadratic alternating harmonic numbers and reciprocal binomial coefficients. In this paper, we extend his result to cubic alternating harmonic number sums and develop new closed form representations of sums of cubic alternating harmonic numbers and reciprocal binomial coefficients. Some inter- esting (known or new) illustrative special cases as well as immediate consequences of the main results are also considered.