The cube of the next even positive integer is written beside the square of every odd positive integer in ascending order, without commas or spaces, resulting in this infinite pattern:

1896425216495128110001211728........

Determine the 2010^th digit in the above pattern.

There are many ways I may have erred, but here is what I found:

Digit number 2010 is a 7.

It is inside of 54^3 = 157646

Posted by Jer on 2010-04-27 17:27:03