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sum of digits and 100th term (Posted on 2015-10-08) Difficulty: 3 of 5
s(x) denotes the sum of digits of x.
Consider all the positive integer values of n satisfying s(n) = 100 arranged in strictly ascending order of magnitude.
Determine the 100th term of this sequence.

No Solution Yet Submitted by K Sengupta    
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re: I've probably miscounted but here goes. | Comment 2 of 3 |
(In reply to I've probably miscounted but here goes. by Charlie)

I got the same thing.


One thing that simplified some of my counting:
Of the numbers starting with 3:
C(11,1)=11 have a single 7
C(11,2)=55 have a pair of 8s
That got me from #13 to #78

Past #78 our reasoning looks identical.

  Posted by Jer on 2015-10-09 08:16:30
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