Farey sequence Calculator

with a denominator up to

In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n, arranged in order of increasing size.

F1 = { 01, 11 }
F2 = { 01, 12, 11 }
F3 = { 01, 13, 12, 23, 11 }
F4 = { 01, 14, 13, 12, 23, 34, 11 }
F5 = { 01, 15, 14, 13, 25, 12, 35, 23, 34, 45, 11 }
F6 = { 01, 16, 15, 14, 13, 25, 12, 35, 23, 34, 45, 56, 11 }
F7 = { 01, 17, 16, 15, 14, 27, 13, 25, 37, 12, 47, 35, 23, 57, 34, 45, 56, 67, 11 }
F8 = { 01, 18, 17, 16, 15, 14, 27, 13, 38, 25, 37, 12, 47, 35, 58, 23, 57, 34, 45, 56, 67, 78, 11 }

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