Find the rule and continue this sequence of digits:

1235813941213533488671216141383377554...

Is there a limit to the number of times in a row a digit can appear?

My answer is that there will be no limit to the number of consecutive digits in the sequence. The digit that is repeated the most will be the digit 9, and after the 20568th digit, the new maximum will be 9's and it will be a power of 2 plus 2 digits in a row. In the first 10000000 digits of the sequence, the max number of repetitions is 2^15+2 nines between the 9660996th and 9693765th digits.

P.S. Don't think the whiteboard was enough for that Jer. :)

Posted by Justin on 2005-07-08 21:15:32