Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2014; 29(3): 387-399

Printed July 1, 2014

https://doi.org/10.4134/CKMS.2014.29.3.387

Copyright © The Korean Mathematical Society.

Fibonacci numbers and semisimple continued fraction

Eunmi Choi

Hannam University

Abstract

The ratios of any two Fibonacci numbers are expressed by means of semisimple continued fraction.

Keywords: Fibonacci sequence, Lucas sequence, continued fraction

MSC numbers: Primary 11B37, 11B39