There's a couple of things to try to understnad the problem.

Use the 983 commnad to blink back the remote's signature. It should be 3039.
Then, let's check if you can assign any cable setup code.  Try 01376 to see if you get 2 blinks.  
Are you able to power your TV on and off?  That would show that you can get the remote to accept some setup code.

At some point it may be worthwhile to do a 981 reset again (should get 4 blinks), follow that with a 982 (this is a toggle setting-- the remote needs to be in the state where it has blinked 4 times and not 2 times), and then assign 01982 to the Cbl button.

If you still get a single flash,