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The 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).

EtymologyEdit

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.

ApproximationsEdit

Notation Approximation
Up-arrow notation \(4\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow4\) (exact)
BEAF \(\{4,4,6\}\) (exact)
Hyper-E notation \(E(4)1\#1\#1\#1\#1\#4\) (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 \(g_{\varphi(5,0)}(4)\)

SourcesEdit

  1. Numbers from linear array notation | Steps Toward Infinity!

See alsoEdit

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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