Which flash? Many flashes will trigger anyway even if not recycled yet. That is bad news, because it does not yet have full power, and it can only be a partial flash if not recycled. But some will anyway, and some will not.
On Nikon flashes, typically only the camera internal flash will not trigger until recycle, but the D3 does not have the internal flash.
I'd say count your blessings. If faster shooting is necessary, rearrange your situation to need less flash power, with higher ISO, wider aperture, or closer flash distance, or maybe all three. Less flash power is faster recycle.