User blog comment:Swooped me in one hit/A new beginning./@comment-30754445-20170219160310

Part I & II of the videos Chronolegends gave you explains Up-Arrows and Conway Chain-Arrows. Have you seen them yet?

And the next step after these shouldn't be BEAF. It should be the fast growing hierarchy (which - again - is explained in that video series).

But before all this, you should learn a little more backgrounds mathematics: Learn about functions. A little algebra. I know you're eager to get to the good stuff, but you already know what happens when trying to make shortcuts.