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The Stern-Brocot continued fraction

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posted on 2024-11-14, 03:29 authored by Bruce BatesBruce Bates
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.

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Citation

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

Journal title

Integers: electronic journal of combinatorial number theory

Volume

14

Pagination

A39-1-A39-23

Language

English

RIS ID

92498

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    continuedfractionbrocotstern

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    Copyright - All rights reserved

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