Each of the numbers 3, 10, 17, 24, 29, 36, ... can be written as a sum of three cubes of positive integers - not necessarily all distinct.

What is the smallest member in this series that allows more than one way of such representation?

To avoid misunderstanding - distinct order in the summation of the cubes will not count as a different set - e.g. (8,1,1) , (1,8,1) and (1,1,8) represent the same triplet.