Proof of Knuth's Binomial identity (5.43)

Abstract In this manuscript we proof a remarkable Binomial identity (5.43) given by Donald Knuth in his fundamental work entitled Concrete Mathematics. Metadata Initial release date: February 13 (Friday), 2026. MSC2010: 05A19, 05A10 Keywords: License: This work is licensed under a CC BY 4.0 License DOI: https://doi.org/10.5281/zenodo.18636198 Web Version: https://kolosovpetro.github.io/math/proof-of-knuth-binomial-identity Sources: https://github.com/kolosovpetro/ProofOfKnuthIdentity543 ORCID: https://orcid.org/0000-0002-6544-8880 Email: kolosovp94@gmail.com