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The tetenpent is equal to s(5,5,5,5) in strong array notation.[1] It can be represented in chained arrow notation as \(5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\).

This number is also equal to s(5,5,1,6), s(5,1,1,7), s(5,5,1,1,2), s(5,1,1,2,2), or s(5,1,1,1,1,2).

Etymology

The name of this number is based on Greek prefixes tetra- and penta- (four and five), meaning that there are 4 5's in the array.

Approximations

Notation Approximation
BEAF \(\{5,6,4,5\}\)
Hyper-E notation \(E2\#\#2\#\#2\#\#1\#1\#1\#1\#5\)
Chained arrow notation \(5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\) (exact)
Hyperfactorial array notation \(5![5,4]\)
Fast-growing hierarchy \(f_{\omega4+4}(5)\)
Hardy hierarchy \(H_{\omega^{\omega4+4}}(5)\)
Slow-growing hierarchy \(g_{\varphi(3,3,0)}(5)\)

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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