There is certainly a pattern to Pi, here it is: 3.14159... Works every single time you calculate it, exactly the same, no randomness what so ever.
It is unique, not random, there is a difference.
True random is best illustrated by "bookie numbers". When a bookie wants to run an almost honest numbers game, he sets the numbers to something like box scores, placing horse numbers or something like that. They are still biased numbers, but in general they appear to be random.