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.

Ady's sequence starts at n=0 so when he requests we consider the first 3000 members the last is actually the leading digit of 2^2999.  a(3000)=6

So the answer really is 903.

Posted by Jer on 2011-02-19 17:57:58