Farey sequence

American  

[fair-ee] / ˈfɛər i /

noun

Mathematics.

1. 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, 1/4, 1/3, 1/2, 2/3, 3/4, 1/1.

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Etymology

Origin of Farey sequence

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