Bar 3006 and would like to know the date it was made?
Well, if you had given us which MODEL of the BAR, and the serial number, we could have told you. If you go to the website for Browning, under customer service, historical data, you can find the table for your model, and check the serial number range. That is, for the civilian sporting rifle. The light machine gun used by the military, also known as the BAR, is an entirely different matter.