Farey Sequence

n

The Farey sequence

F

n

for any positive integer n is the set of irreducible rational numbers a/b with

0≤a≤b≤n

and

(a,b)=1

. This sequence is represented in two ways: first with bars whose width is equal to a term in the sequence minus the previous one; the second with points corresponding with the kth term of

F

n

minus

k/n

.