English

Some New and Old Gibonacci Identities

Combinatorics 2020-08-12 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.2008.04842,
  title  = {Some New and Old Gibonacci Identities},
  author = {Pankaj Jyoti Mahanta and Manjil P. Saikia},
  journal= {arXiv preprint arXiv:2008.04842},
  year   = {2020}
}

Comments

19 pages, comments are welcome

R2 v1 2026-06-23T17:47:04.021Z