Imagine a multiplication table (like the one below, except it continues on forever):
1 2 3 4
+++++
1 1  2  3  4 ...
+++++
2 2  4  6  8 ...
+++++
3 3  6  9  12...
+++++
4 4  8  12 16...
+++++
...............
Find three of the same number in a straight line somewhere within the table. If this is not possible, show why not.
(In reply to
Getting less rigorous (spoiler) by Steve Herman)
From your initial post, I thought the three 4's you were referring to are the 4 that is the product of the coefficients 2 and 2 and the two 4's that are of the coefficients themselves. These three 4's are not exactly in a straight line due to the table spacing and font selection, but if each number, including the coefficients, were placed in the middle of equally sized squares, they would be.

Posted by Dej Mar
on 20060708 20:34:14 