View PDFAbstract:Efforts
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Cassini's identity for k-bonacci numbers
Combinatorics [Submitted on 2 Jun 2026] Title:Cassini's identity for k-bonacci numbers View PDFAbstract:Efforts have been made to extend Cassini's identity (also known as Simson's identity) to the k-step or k-bonacci numbers for decades. These efforts have lacked both completeness of result and simplicity of proof, and this question remains open and relevant.