English

Compositions and Fibonacci Identities

Combinatorics 2013-03-20 v3 Number Theory

Abstract

We study formulas expressing Fibonacci numbers as sums over compositions using free submonoids of the free monoid of compositions with parts 1 and 2.

Keywords

Cite

@article{arxiv.1303.1366,
  title  = {Compositions and Fibonacci Identities},
  author = {Ira M. Gessel and Ji Li},
  journal= {arXiv preprint arXiv:1303.1366},
  year   = {2013}
}

Comments

Minor typos fixed

R2 v1 2026-06-21T23:37:34.200Z