The Stern-Brocot continued fraction

Authors

Bruce Philip Bates, University of WollongongFollow

RIS ID

92498

Publication Details

Bates, B. (2014). The Stern-Brocot continued fraction. Integers: electronic journal of combinatorial number theory, 14 A39-1 - A39-23.

Abstract

We discover a continued fraction whose successive approximants generate the Stern- Brocot sequence and levels of the Stern-Brocot tree. We also discover continued fractions whose approximants generate every term in diagonals and branches of the Stern-Brocot tree.