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Tethexo is equal to s(4,4,6) in strong array notation. [1] The term was coined by wiki user Hyp cos. It can be represented in up-arrow notation as $$4\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow4$$ (4 octated to 4).

This number is also equal to s(4,2,7) and s(4,6,1,2).

## Etymology

The name of this number is based on the word "tetra" and "hexa" (Greek for 4 and 6), meaning a base-4 number, generated using hyper-6 operation based on exponentiation.

## Approximations

Notation Approximation
Arrow notation $$4\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow4$$ (exact)
BEAF $$\{4,4,6\}$$ (exact)
Hyper-E notation $$\textrm{E}[4]1\#1\#1\#1\#1\#4$$ (exact)
Chained arrow notation $$4\rightarrow4\rightarrow6$$ (exact)
Hyperfactorial array notation $$5!5$$
Fast-growing hierarchy $$f_7(3)$$
Hardy hierarchy $$H_{\omega^7}(3)$$
Slow-growing hierarchy $$g_{\varphi(5,0)}(4)$$