/fair"ee/ , Math.
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 ]