Integer square tiling: to make the total come out to 2006 tilings, you need to place a small square in the 2nd cell
of the bottom row.

Joseph DeVincentis
-------------------------------------------------------------------
Ed,
 
Here is the answer to Integer Square Tiling:
 
1x1 tile on the bottom row, second position.
 
oooooooo
oooooooo
oxoooxxx
ooxxooxx
oooooooo
oXoooooo
 
Here are my calculations:
 
2 * 17 * 59
 
oo
oo  = 2
 
ooo
ooo = 3
 
oooo 
oooo = 5
 
oo
oooo
oooo = 7
 
 oo
ooooo
ooooo = 10
 
  oo 
oooooo
oooooo = 17
 
ooooo
ooooo = 8
 
oooooo
oooooo = 13
 
ooooooo
ooooooo = 21
 
oooooooo
oooooooo = 34
 
    oo  
oooooooo
oooooooo = 44
 
   ooo 
oooooooo
oooooooo = 59