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Selected Works of Andrew V. Sills
Article
Odd Fibbinary Numbers and the Golden Ratio
Fibonacci Quarterly
  • Linus Lindroos, Georgia Southern University
  • Andrew Sills, Georgia Southern University
  • Hua Wang, Georgia Southern University
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Document Type
Article
Publication Date
2-1-2014
Disciplines
Abstract

The fibbinary numbers are positive integers whose binary representation contains no consecutive ones. We prove the following result: If the jth odd fibbinary is the nth odd fibbinary number, then j={nɸ2]-1.

Comments

This is a preprint of the final published article available at Fibonacci Quarterly.

Citation Information
Linus Lindroos, Andrew Sills and Hua Wang. "Odd Fibbinary Numbers and the Golden Ratio" Fibonacci Quarterly Vol. 52 Iss. 1 (2014) p. 61 - 65 ISSN: 0015-0517
Available at: http://works.bepress.com/andrew_sills/28/