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Tetenhex is equal to s(6,6,6,6) in strong array notation.[1] It can be represented in chained arrow notation as \(6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\).

This number is also equal to s(6,6,1,7), s(6,1,1,8), s(6,6,1,1,2), s(6,1,1,2,2), or s(6,1,1,1,1,2).

Etymology

The name of this number is based on Greek prefixes tetra- and hexa- (four and six), meaning that there are 4 6's in the array.

Approximations

Notation Approximation
BEAF \(\{6,7,5,6\}\)
Hyper-E notation \(E2\#\#2\#\#2\#\#2\#\#1\#1\#1\#1\#1\#6\)
Chained arrow notation \(6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\) (exact)
Hyperfactorial array notation \(6![6,5]\)
Fast-growing hierarchy \(f_{\omega5+5}(6)\)
Hardy hierarchy \(H_{\omega^{\omega5+5}}(6)\)
Slow-growing hierarchy \(g_{\varphi(4,4,0)}(6)\)

Sources

See also

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

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