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.

Link to table for n=0 to 100000 here: http://oeis.org/A008952/b008952.txt

The counts per last digit for n<3000 are:

1             903
2             529
3             374
4             291
5             238
6             201
7             173
8             155
9             136

I see a discrepancy between the previous computed count for n=1.  A(3000) = 1. 

 

Posted by xdog on 2011-02-18 17:54:39