Advertisement
11,354
pages

Tredecation is the 13th hyperoperation. It is equal to the binary function $$\uparrow^{11}$$ in Knuth's up-arrow notation[1]

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

"a tredecated to b" can be written in array notation as $$\{a,b,11\}$$, 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#1#1#b.

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

Advertisement