Odd fibbinary numbers and the golden ratio

Linus Lindroos; Andrew Sills; Hua Wang

Odd fibbinary numbers and the golden ratio

Linus Lindroos, Andrew Sills, Hua Wang

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

Abstract

The fibbinary numbers arc 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 = [nØ²] - 1.

Original language	English
Pages (from-to)	61-65
Number of pages	5
Journal	Fibonacci Quarterly
Volume	52
Issue number	1
State	Published - Feb 2014

Scopus Subject Areas

Algebra and Number Theory

Cite this

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title = "Odd fibbinary numbers and the golden ratio",

abstract = "The fibbinary numbers arc 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 = [n{\O}2] - 1.",

author = "Linus Lindroos and Andrew Sills and Hua Wang",

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JO - Fibonacci Quarterly

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Odd fibbinary numbers and the golden ratio

Abstract

Scopus Subject Areas

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