Extraction of Farey Sequence from Stern-Brocot Sequence
S. Deepa1, A. Gnanam2
1S. Deepa, Assistant Professor, Department of Mathematics, Nazareth College of Arts & Science, Avadi, Chennai (Tamil Nadu), India.
2A. Gnanam, Assistant Professor, Department of Mathematics, Government Arts College, Trichy (Tamil Nadu), India.
Manuscript received on 18 January 2020 | Revised Manuscript received on 01 February 2020 | Manuscript Published on 05 February 2020 | PP: 29-32 | Volume-8 Issue-4S5 December 2019 | Retrieval Number: D10111284S519/2019©BEIESP | DOI: 10.35940/ijrte.D1011.1284S519
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper we define and discuss the properties of Farey Sequence and Stern – Brocot Tree and the principal aim of this paper is to extract Farey sequence from Stern – Brocot Tree.
Keywords: Stern – Brocot Sequence, Farey Sequence, Fibonacci Sequence.
Scope of the Article: Cryptography and Applied Mathematics