English

Fibonacci Numbers and Identities

Number Theory 2013-04-04 v2

Abstract

By investigating a recurrence relation about functions, we first give alternative proofs of various identities on Fibonacci numbers and Lucas numbers, and then, make certain well known identities visible via certain trivalent graph associated to the recurrence relation.

Keywords

Cite

@article{arxiv.1303.5162,
  title  = {Fibonacci Numbers and Identities},
  author = {Cheng Lien Lang and Mong Lung Lang},
  journal= {arXiv preprint arXiv:1303.5162},
  year   = {2013}
}
R2 v1 2026-06-21T23:45:38.740Z