Farey sequence

Farey sequence

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

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

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