Calling the first 3 terms x,y,z to minimize the use of parentheses and subscripts and building up the next terms I get A(6) = 144 = z^2 * (x+y)(x+y+1)(y+z), making z=12,6,4,3,2,1.
The first two values are too big, the next two don't give a result containing factors that are consecutive, and the last two give the previously cited answers: (x,y,z) = (2,1,2) and (7,1,1).

Posted by xdog
on 20160722 12:41:08 