User blog comment:Lord Aspect/BOX/@comment-32783837-20180215195823

Salad and not even remotely defined.

Also, 10↑100↑10↑100 ≠ (10↑100)↑10↑100. The latter is called fzgoogol.

Anyway, your function b(n) is equal to (10↑100)↓↓n in down-arrow notation. b(googol), then, is fugagoogol, equal to 1010 (10 102-98).

Then, your function o(n) uses the number 8↑8 = 16,777,216 (binary-minnowchunk).

o(n) = (8↑8)↑↑o(n-1).

o(1) = 16,777,216

o(2) ≈ 16,777,215 PT (121210687.09242924) ("PT" is defined by Hypercalc)

o(3) ≈ o(2)-1 PT (121210687.09242924)

o(n) ≈ o(n-1)-1 PT (121210687.09242924)

So, o(244) is very roughly: 16,777,215 PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​ PT (121210687.09242924) PT (121210687.09242924)​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​ that's 243 "PT"s. Not even comparable to b(googol).

And then "just imagine something as big as Rayo's Number". That's not even defined. How close is it? Is it, say, Rayo(googol)×2? Rayo(googol+1)? NOT DEFINED.

Now, multiplying B by O would produce a result not distinguishably larger than O, since B is a Class 5 number and O is a pentational sized number. And if X is at FOST size, then no computable recursion will make it even remotely significantly larger.