Golfscript
This program prints some digits that always sum up to 2, regardless of how the program is shifted:
10 2 base 0 2 base1 2 base10 2 base10 base10 2 base10 2 ase10 2 b se10 2 ba e10 2 bas The first line prints 1010 (10 in binary), the second line prints 02 and all the other lines print 2.
Update:
The program can be tested here. Please note that I've added ns at the end of each row only for formatting the output; these can be removed and the program still works.