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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It was named as such by Cookiefonster, who found this number in an unpublished article in Sbiis Saibian's Large Numbers website.[1]

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