perplexus.info :: Sequences : sum of digits and 100th term

sum of digits and 100th term (Posted on 2015-10-08)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

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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