A Farey sequence, denoted as \( F_n \), is a sequence of completely reduced fractions between 0 and 1 that have denominators less than or equal to a given positive integer \( n \). The Farey sequence is arranged in increasing order. Each fraction in the sequence is expressed in simplest form, meaning that the numerator and denominator are coprime (they have no common factors other than 1).
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The increasing list of reduced rational numbers in with denominators at most its level , including zero and one.
