My nonspoiler hint is to look in the surrounding environment for clues. When you find the appropriate clue (which you may have already found, and just not realized you found it -- it does this cool thing where it blends in and seems very out-of-place simultaneously), you should be able to tell both how many buttons are in the room, and the appropriate order to press them in order to solve the puzzle.
The one thing I will say is that you don't need to leave the basement to solve the puzzle.
Last edited by ScrotieMcB; 27/07/14 07:04 AM.