Attached is a rough schematic of what I would use. Please keep in mind that this approach will only tell you if the chip works. It is not designed to test the chip to specifications. The outputs show some LEDs and load resistors. The ULN series should be able to drive 500 mA. If the voltage were for example 12 volts and you wanted a 400 mA load resistor they would be 30 Ohms and 5 Watt resistors. If you just want to see if the darlingtons work, then the loads are not needed, just use 7 LEDs with series resistors choosing the series resistors based on the voltage.
The ULN is being driven by a CD4017 decade counter divider. If you run a 1 Hz. clock pulse in the 4017's outputs Q0 through Q6 will sequentially go High turning on the ULN series chip's darlingtons. The LEDs on the outputs will sequentially light one by one. The base resistors for the ULN series will be a function of the voltage you decide to use with the 4017. The entire thing can be run on 12 volts. Just a matter of what you want to run things at.
Again, this is just one basic way to go about seeing if the chip works or not. It does not actually test the chip to specifications. Methods for doing that are covered in the ULN2000 series data sheet.
Ron