- 12 + 1d6
- 10 + 1d6
- 8 + 1d6
- 6 + 1d6
- 4 + 1d6
- 2 + 1d6
The resulting scores could then be distributed randomly or arranged to taste. This is meant to be more consistent (guaranteed one low and one high score) while still being somewhat unpredictable.
The total expected value of both this method and 3d6 each is the same. Expected value of 3d6 down the line is 10.5 each and thus 63 in total. Expected value of this method is:
(12 +10 + 8 + 6 + 4 + 2) + (6d6) = 42 + (3.5 * 6) = 42 + 21 = 63
I posted this on G+ already, but I figured it was worth putting up here too.