User blog:Lord Aspect/SATCLN IV

I am back with some numbers. So, for first we need to introduce a function:

A[n] = 9(n of ^s here)9. So, for example, A[9] = 9^^^^^^^^^9. Also, we need to note that in this system, x^^y is tetration (x^x^... (y times)), x^^^y is pentation (x^^x^^... (y times)) and so on. So, A[9] = 9^^^^^^^^^9. This is... A big number. But we need to go further. A1[n] = A[n](n ^s here)A[n]. Example: A1[9] = A[9]^^^^^^^^^A[9].

So, global notation is: Ax[n] = A[x - 1](n ^s here)A[x - 1].

Then, we will use this notation to increase the ammount of A's.

AA[n] = A[A[n] - 1](n ^s here)A[A[n] - 1]

AA[n] = U2[n]. AAA[n] = U3[n]. etc.

UU2[n] = A...(U2 A's in total)...A[n]

Then, the final notation.

Гx[n] = U... (x U's in total) ....U[n]

So, my new number is Г(10^^^100)[9]. I have no idea how big is this salad.