Yeah, n/7 does that. It’s a loop of 142857, and changing the numerator shifts where in the loop it starts.

They also go in a pattern where the ‘loop’ starts with the Nth largest number in the sequence. So:

1/7= .142857 repeat 2/7= .285714… 3/7= .428571… 4/7= .571428… 5/7= .714285… 6/7=.857142…