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

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

"a doedecated to b" 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 approximately equivalent to $$f_{11}(n)$$ in the fast-growing hierarchy.