Doedecation refers to the 12th hyperoperation starting from addition. It is equal to \(a \uparrow^{10} b\), where Arrow Notation is used.[1]

n doedecated to m is n undecated to n undecated to ... undecated to n (m n's).

Doedecation can be written in array notation as \(\{a,b,10\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 10\) and in Hyper-E notation as E(a)1#1#1#1#1#1#1#1#1#b.

Doedecational growth rate is equivalent to \(f_{11}(n)\) in the fast-growing hierarchy.

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