User blog comment:LittlePeng9/Fast growing hierarchy of analytic functions/@comment-30754445-20170617192307/@comment-30754445-20170617224019

The only "help" I could use is with tips regarding how to estimate actual values.

Meanwhile, I've made some progress on creating a table of values for f1(x), f2(x), f3(x). It really does look much smoother than Letter Notation, even though there are still noticable "jumps" (which occur whenever f_n(x) overtakes f_n(f_n(x/2))).

I hope to post my detailed findings shortly.

At any rate, it's a real shame that these functions cannot be calculated without a programmable computer, because they otherwise seem like an excellent candidate for a "standard notation" of big numbers.