Some New and Old Gibonacci Identities

2020/08/07 by Pankaj Jyoti Mahanta, Mahanta, Pankaj Jyoti, Manjil P. Saikia +1
Mathematics · Physics and Astronomy · #05A15 #05A19 #11B37 #11B39 #11B75 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2008.04842

openalex publication_date 2020/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a different combinatorial interpretations of Lucas and Gibonacci numbers. Using these interpretations we prove several new identities, and simplify the proofs of several known identities. Some open problems are discussed towards the end of the paper.

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