Odd Fibbinary Numbers and the Golden Ratio

Authors

Linus Lindroos, Georgia Southern UniversityFollow
Andrew Sills, Georgia Southern UniversityFollow
Hua Wang, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2-2014

Publication Title

Fibonacci Quarterly

ISSN

0015-0517

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.

Recommended Citation

Lindroos, Linus, Andrew Sills, Hua Wang. 2014. "Odd Fibbinary Numbers and the Golden Ratio." Fibonacci Quarterly, 52 (1): 61-65. source: http://www.math.rutgers.edu/~asills/Fibbinary/Fibbinary.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/182