The decimal string of the golden ratio

J. V. Leyendekkers and A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 1, Pages 27—31
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Authors and affiliations

J. V. Leyendekkers
Faculty of Science, The University of Sydney
NSW 2006, Australia

A. G. Shannon
Faculty of Engineering & IT, University of Technology
Sydney, NSW 2007, Australia


The decimal expansion of the Golden Ratio is examined through the use of various properties of the Fibonacci numbers and some exponential functions.


  • Fibonacci sequence
  • Lucas sequence
  • Golden Ratio

AMS Classification

  • 11B39
  • 11B50


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Cite this paper

Leyendekkers, J., & Shannon, A. (2014). The decimal string of the golden ratio. Notes on Number Theory and Discrete Mathematics, 20(1), 27-31.

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