English

Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers

Combinatorics 2022-01-19 v1

Abstract

Results of this paper concern nn-determinants which we defined in the paper \cite{jan}. In the paper \cite{jabo}, 22-determinants are considered. In this paper, we extend results from \cite{jabo} on nn-determinants by proving that Cassini, d'Ocagne, Catalan and Vajda identities may be extended to hold for nn-step Fibonacci numbers.

Keywords

Cite

@article{arxiv.2201.06269,
  title  = {Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers},
  author = {Milan Janjic},
  journal= {arXiv preprint arXiv:2201.06269},
  year   = {2022}
}