In the picture below, I've circled (or rather 'rectangled') the numbers above a screen of LCARS. Now, this picture isn't from Star Trek: The Next Genreation itself, but it is an accurate representation. Often, you see at the top of the screen that these numbers are constantly changing. What, if anything, were these numbers supposed to represent?
Michael Okuda has indicated in various interviews that the numbers are pretty much nonsense. They were never intended to be read in detail (due to the quality of TV film stock). The fact that you can read them at all is a result of unexpected rises in film quality over the intervening years.
Moderator: Speaking of Okudagrams: to : Speaking of that, what's the significance of the number 3069 which constantly appears on displays?
MichaelOkuda: A lot of graphics are rebuilt from earlier graphics, part of our attempt to save time while maintaining graphic consistency.
MichaelOkuda: That's just a piece that's been recycled.
MichaelOkuda: Either that or it is a top secret Starfleet Command encryption code.