Farey sequence
Increasing sequence of reduced fractions
Farey sequence
In mathematics, the Farey sequence of order n {\displaystyle n} is the sequence of completely reduced fractions which have denominators less than or equal to n {\displaystyle n} , arranged in order of increasing size. Some authors restrict the fractions to the interval between 0 and 1. A Farey sequence is sometimes called a Farey series, although the terms are not summed.
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