Recounting the Rationals

Calkin and Wilf describe a sequence b(n) with the property that every positive rational appears exactly once as b(n)/b(n + 1). Moreover, b(n) is the solution of a quite natural counting problem.

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Bibliographic Details
Published in:The American mathematical monthly 2000-04, Vol.107 (4), p.360-363
Main Authors: Calkin, Neil, Wilf, Herbert S.
Format: Article
Language:English
Subjects:
Children
Fractions
Integers
Mathematical functions
Mathematics
Numbers
Rational numbers
Vertices
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Description
Summary:Calkin and Wilf describe a sequence b(n) with the property that every positive rational appears exactly once as b(n)/b(n + 1). Moreover, b(n) is the solution of a quite natural counting problem.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2000.12005205