Kaboodol

The kaboodol can be defined by following these steps: 
# Define \(f^{x}(n)\) as \(\underbrace{f(f(f(\ldots n\ldots)))}_x\).
# Define \(f\uparrow\uparrow x (n)\) as \(\underbrace{f^{f^{f^{.^{.^{.^{f(n)}.}.}.}(n)}(n)}(n)}_x\).
# Continue, using Chained Arrow Notation.
# Define \(f(n)\) as \(\text{hyper}(n,n,n)\).
# Kaboodol is \(f\rightarrow \underbrace{10 \rightarrow\ldots\rightarrow 10}_{100}(100)\).
Kaboodol is larger than \(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{102}\), but smaller than \(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\), which is approximately \(f_{\omega^2}(101)\).
=== Sources ===
===See also===
Category:Numbers
Category:Numbers from A googol is a tiny dot
Category:Googol series
Category:Linear omega level