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Trihexo is equal to s(3,3,6) in strong array notation.[1] The term was coined by wiki user Hyp cos. It can be represented in up-arrow notation as $$3\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow3$$ (3 octated to 3).

This number is also equal to s(3,2,7) and s(3,6,1,2).

## Etymology

The name of this number is based on the word "tri" and "hexa" (Greek for 3 and 6), meaning a base-3 number, generated using hyper-6 operation based on exponentiation.

## Approximations

Notation Approximation
Arrow notation $$3\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow3$$ (exact)
BEAF $$\{3,3,6\}$$ (exact)
Hyper-E notation $$\textrm E[3]1\#1\#1\#1\#1\#3$$ (exact)
Chained arrow notation $$3\rightarrow3\rightarrow6$$ (exact)
Hyperfactorial array notation $$4!5$$
Fast-growing hierarchy $$f_7(2)$$
Hardy hierarchy $$H_{\omega^7}(2)$$
Slow-growing hierarchy $$g_{\varphi(5,0)}(3)$$

## Sources

Hyp cos' linear strong array notation numbers | exAN numbers
3-entry series
Tribo group: tribo · tetbo · pentbo · hexabo
Trientri group: trientri · tettro · pentro · hextro
Trientet group: triteto · trientet · penteto · hexteto
Trienpent group: tripeno · tetpeno · trienpent · hexpeno
Trienhex group: trihexo · tethexo · penhexo · trienhex
5-entry series
6-entry series