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About: Calkin–Wilf tree     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Series108457976, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Arrangement107938773yago:Group100031264yago:Ordering108456993yago:WikicatIntegerSequencesplantyago:Sequence108459252yago:Series108457976 New Facet based on Instances of this Class

In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond one-to-one to the positive rational numbers. The tree is rooted at the number 1, and any rational number expressed in simplest terms as the fraction a/b has as its two children the numbers a/a + b and a + b/b. Every positive rational number appears exactly once in the tree. It is named after Neil Calkin and Herbert Wilf, but appears in other works including Kepler's Harmonices Mundi.