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Chainol is equal to s(3,2,2,1,2) in strong array notation.[1] In chained arrow notation, it is equal to a chain of tritri+2 threes.

## Etymology

The name of this number is based on the word "chain", meaning the top of chained arrow notation.

## Approximations

Notation Approximation
Bowers Exploding Array Function $$\{3,3,3,\{3,3,3\}\}$$
Hyper-E notation $$\textrm{E}2\#\#\#(\textrm{E}[3]1\#1\#3)$$
Chained arrow notation $$\underbrace{3\rightarrow3\rightarrow...3\rightarrow3}_{3\rightarrow3\rightarrow3}\rightarrow3\rightarrow3$$ (exact)
Hyperfactorial array notation $$(4!2)![1,1,2]$$
Fast-growing hierarchy $$f_{\omega^2}(f_4(2))$$ (using CNF's fundamental sequences)
Hardy hierarchy $$H_{\omega^{\omega^2}+\omega^4}(2)$$
Slow-growing hierarchy $$g_{\varphi(\zeta_0,0,0)}(3)$$