Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:defines |
sequence of completely reduced fractions between 0 and 1, arranged in order of increasing size, whose denominators do not exceed a given integer n
|
| gptkbp:field |
number theory
|
| gptkbp:firstAppearance |
1816
|
| https://www.w3.org/2000/01/rdf-schema#label |
Farey sequence
|
| gptkbp:namedAfter |
gptkb:John_Farey
|
| gptkbp:notation |
F_n
|
| gptkbp:OEIS |
gptkb:A006842
|
| gptkbp:property |
adjacent terms a/b and c/d satisfy bc - ad = 1
|
| gptkbp:relatedTo |
gptkb:Stern–Brocot_tree
continued fractions mediant |
| gptkbp:sequence |
finite
|
| gptkbp:usedIn |
gptkb:Ford_circles
modular group approximation of real numbers by rationals |
| gptkbp:bfsParent |
gptkb:modular_group
|
| gptkbp:bfsLayer |
5
|