A018194 Number of steps for S(S(..S(n)..)) to converge, where S is the Kempner-Smarandache function defined in A002034.

1, 1, 1, 1, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2, 2, 1, 2, 3, 2, 4, 2, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 3, 3, 3, 2, 2, 1, 4, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 1, 2, 3, 2, 2, 2, 1, 3, 4, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 1, 2, 1, 2, 2, 2, 1, 4