From: Olivier on
Sylvia Else a �crit :
[...]
> A computer is a finite state machine, so although it may continue to
> compute forever, its outputs must start to repeat.

So so so very false --
Maybe you should have a look at van der Waerden's Theorem
to get to understand how wrong is your argument.

Anyway, the set of automatic sequences is much larger
than the set of periodic ones.
A.O.