I have been looking for a formula that will be exact myself.
It's tricky because for one thing the calculated lb.s per square foot of projectile striking energy are of the projectile striking and coming to a complete stop (the total energy)
But when you think about it the projectile is in the barrel for a set amount of time.
The weight(mass) of the launcher should reduce the recoil figure somehow because obviously heavier launchers have less reoil.
Then also there is the "jet" effect that the exhaust gas propeling the projectile have on the launcher which seems to really complicate things (but luckily doesn't add too much).
Also the configuration of barrels and stock or stand and length of the barrel can really effect the actual "felt recoil"
I am basically moving towards a little math and brute trial and error at this point or a small model and multiplying the size from there.
Sorry I don't have a better method now.
BTW mythbusters did a show segment on bullet knock-down power and the way they described recoil in that segment made me start to doubt their scientific merit.