Tetentet

View full site to see MathJax equation

The tetentet is equal to s(4,4,4,4) in strong array notation. It can be represented in chained arrow notation as \(4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\).

This number is also equal to s(4,4,1,5), s(4,1,1,6), s(4,4,1,1,2), s(4,1,1,2,2), or s(4,1,1,1,1,2).

Etymology

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

Approximations

Notation	Approximation
Bowers' Exploding Array Function	\(\{4,5,3,4\}\)
Chained arrow notation	\(4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\) (exact)
Hyper-E notation	\(E2\#\#2\#\#2\#\#1\#1\#(E2\#\#27\#26\#2)\#3\)
Hyperfactorial array notation	\((((4![1,2])![2,3])![2,3])![2,3]\)
Fast-growing hierarchy	\(f_{\omega3+3}(4)\)
Hardy hierarchy	\(H_{\omega^{\omega3+3}}(4)\)
Slow-growing hierarchy	\(g_{\varphi(3,2,0)}(4)\)

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

4-entry series

Primitol group: primitol · primitolplex · primitolbiplex · primitoltriplex · primitolquadriplex · primibol · primibolplex · primitrol · primitrolplex · primitetol · primitetolplex · primipenol · primipenolplex
Tetentri group: duprimitol · duprimitolplex · duprimibol · tetentri
Tetentet group: truprimitol · truprimitolplex · truprimibol · truprimibolplex · tetentet
Tetenpent group: quadprimitol · quadprimitolplex · quadprimibol · quadprimibolplex · tetenpent
Tetenhex group: quinprimitol · quinprimitolplex · quinprimibol · quinprimibolplex · tetenhex

5-entry series

Chainol group: chainol · chainolplex · chainolbiplex · chainoltriplex · chainolquadriplex · chainbol · chainbolplex · chaintrol · chaintrolplex
Chainprimol group: chainprimol · chainprimolplex · chainpribol · chainpribolplex · chainduprimol · chainduprimolplex · chaindupribol · chaindupribolplex · chaintruprimol · chaintruprimolplex · chaintrupribol · chaintrupribolplex
Pententri group: duchainol · duchainolplex · duchainbol · duchainbolplex · duchainprimol · duchainprimolplex · duchainpribol · duchainpribolplex · duchainduprimol · duchainduprimolplex · duchaindupribol · pententri
Pententet group: truchainol · truchainolplex · truchainbol · truchainbolplex · truchainprimol · truchainprimolplex · truchainpribol · truchainpribolplex · truchainduprimol · truchainduprimolplex · truchaindupribol · truchaindupribolplex · pententet · pentenpent · pentenhex

6-entry series

Choinol group: choinol · choinolplex · choinalbiplex · choinbol · choinbolplex · choinprimol · choinprimolplex · choinpribol · choinpribolplex · choinduprimol · choinduprimolplex · choindupribol · choindupribolplex
Choichainol group: choichainol · choichainolplex · choichainbolplex · choichainpribolplex · choichaindupribolplex · choiduchaindupribolplex
Hexentri group: hexentri · hexentet · hexenpent · hexenhex