Jim,
I think you're referring to the middle one of the five buttons as it's the only one without a tooltip - from left to right in this row you have:
1. Stall warning STL
2. Overspeed warning - OVS
3. FDN button
4. Lift dumpers - LDP
5. Airbrakes - BRK
If it's the LDP button then your answer is in the posts above

If it's the FDN button I'm not sure what this stands for but I've done some tests and it seems to light up when the aircraft is not in trim - if you set a high climb rate it will go on while the autopilot tries to get to the correct attitude to climb then go off when the aircraft is back in trim. Similarly if you set up a deliberate stall with low airspeed during a climb, as the speed bleeds off the light will come on.
I think it's a visual reminder to the pilots to check their Autopilot/Flight Director settings (is this what the FD stands for I wonder..?) when there is an out-of-trim or abnormal flight condition.
I've Googled it too but can't find a specific answer...
Hope that helps!