A052010 Smallest k such that the sum of the digits of n each raised to k-th power is greater than n, or 0 if no such k exists.

0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 3, 2, 2, 2, 2, 2, 2, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 7, 5, 4