3 identical integers greater than 1 are written. one of the numbers is crossed off and replaced by a number which is 1 less than the sum of the other two. This is repeated a number of times. The number crossed off is always chosen so that it is different from its replacement.
Greg wants to get the number 2010 from as many starting triplets a, a, a as possible. One way of course is to start with 2010, 2010, 2010.
What are all the other ways?