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a) is easy, b) is not (Posted on 2011-02-18) Difficulty: 3 of 5
1, 2, 4, 8, 1, 3, 6, 1 ... is a non-cyclic series where a(n) represents the leading digit of 2^n.

a) How many ones are there within the first 3000 members?
b) Same question for a digit d, other than digit one.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

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Some Thoughts Old-fogey logic (spoiler) | Comment 2 of 8 |
By the way, the previous approximation is more old-fogey thinking.  30.1% of the length of my trusty slide rule is dedicated to numbers whose leading digits are 1.  Of course, I can only do approximations with my slide rule.  Probably why it was replaced by computers.
  Posted by Steve Herman on 2011-02-18 14:00:31
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