Octation refers to the 8th hyperoperation starting from addition. It is equal to \(a \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow b\) or \(a \uparrow^{6} b\) in Knuth's up-arrow notation[1][2]

Octation 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 equivalent to \(f_7(n)\) in the fast-growing hierarchy.

Sources Edit

  1. Octation on Net Helper
  2. Ascending With Up Arrows

See AlsoEdit