Problem
of the
Week

PROBLEM 111

Define a sequence of numbers a0, a1, a2,...as follows:

a0 = 1,  an+1 = an  +   the sum of the digits of an.
For example, the sequence begins
1,2,4,8,16,23,28,38,49,62,70,77,...
Is 123456789 a term in the sequence, and if so, which term is it?

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