Computers are not all so strong. Here follows a game I played with the program found at http://members.aol.com/shadows125/connect4.htm. Since there was no option for me to play second, I used the opening move a1, which is a proven loss for player 1.
Since the program never learns from its mistakes, unlike a human player, you can go to that site and play all of my moves, and it will respond with the moves I have recorded.