# farey-sequence

## Farey sequence

[fair-ee]
noun Mathematics.
the increasing sequence of fractions in which numerator and denominator have no common divisor other than one and in which the denominator is less than or equal to a given positive integer p. For p = 4, the Farey sequence of order 4 is 0 / 1 , ¼, 1 / 3 , ½, 2 / 3 , 3 / 4 , 1 / 1 .

Origin:
after English mathematician John Farey (1766–1826), who proposed the terms of the sequence in 1816

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