Googology Wiki
Googology Wiki

Chainol is equal to s(3,2,2,1,2) in strong array notation.[1] In chained arrow notation, it is equal to a chain of tritri+2 threes.


The name of this number is based on the word "chain", meaning the top of chained arrow notation.


Notation Approximation
Bowers Exploding Array Function \(\{3,3,3,\{3,3,3\}\}\)
Hyper-E notation \(\textrm{E}2\#\#\#(\textrm{E}[3]1\#1\#3)\)
Chained arrow notation \(\underbrace{3\rightarrow3\rightarrow...3\rightarrow3}_{3\rightarrow3\rightarrow3}\rightarrow3\rightarrow3\) (exact)
Hyperfactorial array notation \((4!2)![1,1,2]\)
Fast-growing hierarchy \(f_{\omega^2}(f_4(2))\) (using CNF's fundamental sequences)
Hardy hierarchy \(H_{\omega^{\omega^2}+\omega^4}(2)\)
Slow-growing hierarchy \(g_{\varphi(\zeta_0,0,0)}(3)\)


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