English

Enumerating the rationals from left to right

Number Theory 2014-05-26 v1

Abstract

Farey sequences, Stern-Brocot sequences, the Calkin-Wilf sequences are shown to be generated via almost identical second order recurrence relations. These sequences have combinatorial, computational, and geometric applications, and are useful for enumerating the rational numbers.

Keywords

Cite

@article{arxiv.1011.2823,
  title  = {Enumerating the rationals from left to right},
  author = {S. P. Glasby},
  journal= {arXiv preprint arXiv:1011.2823},
  year   = {2014}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-21T16:42:43.576Z