Tredecation

Tredecation refers to the function \(a \uparrow^{11} b\), where Arrow Notation is used.

The n tredecated to m is n doedecated to n doedecated to ... doedecated to n (m n's).

Tredecation can be written in array notation as \(\lbrace a,b,11 \rbrace\), in chained arrow notation as \(a \rightarrow b \rightarrow 11\) and in Hyper-E notation as \(E(a)\#1\#1\#1\#1\#1\#1\#1\#1\#1\#1\#b\).

Tredecational growth rate is equivalent to \(f_{12}(n)\) in the fast-growing hierarchy.