285
714…
It may be rephrased concisely as “
PRINT
142857
AND REPEAT
,” or even more concisely as “1/7.” If it is a message, the compression saves keystrokes. If it is an incoming stream of data, the observer may recognize a pattern, grow more and more confident, and settle on
one-seventh
as a theory for the data.
In contrast, this sequence contains a late surprise:
E: 101
01
010
101
010
101
010
101
010
101
010
101
010
101
010