Kudi-Chan's Number

Kudi-Chan's Number is an example of a naive extension to Graham's number, and of a salad number. It is defined as follows:
* \(k_0=4\)
* \(k_1=G\uparrow\uparrow\uparrow\uparrow G\) where \(G\) is Graham's number
* \(k_2=G \underbrace{\uparrow\uparrow\cdots\uparrow\uparrow}_{k_1 \text{ arrows}} G\)
* \(k_n=G \underbrace{\uparrow\uparrow\cdots\uparrow\uparrow}_{k_{n-1} \text{ arrows}} G\)
* \(k_G=\text{Kudi-Chan's number}\)
It can be shown that this number is upper-bounded by GG64+64 in Graham's function.
It was named as such by Cookiefonster, who found this number in an unpublished article in Sbiis Saibian's Large Numbers website.Pointless Gigantic List of Numbers - Part 4: The Bigger Intermediates
== Sources ==
Category:Numbers
Category:Linear omega level
Category:Powers of 3
Category:Salad numbers
Category:Naive extensions