An extension of a curious binomial identity

TL;DR

This paper generalizes a previously known curious binomial identity, expanding its applicability and providing new insights into binomial coefficient relationships.

Contribution

It introduces a broader generalization of Sun's 2002 binomial identity, enhancing understanding of binomial coefficient identities.

Findings

New generalized binomial identity derived

Extended applicability of Sun's original identity

Potential implications for combinatorics and number theory

Abstract

In 2002 Zhi-Wei Sun [Integers 2(2002)] published a curious identity involving binomial coefficients. In this paper we present a generalization of the identity.