Alright, I didn't reroll 1s. So let's try this again:
http://invisiblecastle.com/find.py?id=973650
4d6 -> [6,6,6,5] = (23)
4d6 -> [1,3,2,4] = (10) -- reroll 1
4d6 -> [1,1,2,6] = (10) -- reroll 1x2
4d6 -> [4,5,6,6] = (21)
4d6 -> [2,1,3,1] = (7) -- reroll 1x2
4d6 -> [3,3,3,2] = (11)
4d6 ->...