Octation refers to the 8th hyperoperation starting from addition. It is equal to the binary functions \(\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\) or \(\uparrow^{6}\) in Knuth's up-arrow notation[1]

"a octated to b" can be written in array notation as \(\{a,b,6\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 6\) and in Hyper-E notation as E[a]1#1#1#1#1#b.

Octational growth rate is approximately \(f_7(n)\) in the fast-growing hierarchy.


See also

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