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Hectation refers to the 100th hyperoperation starting from addition. It is equal to $$a \uparrow^{98} b$$, using Knuth's up-arrow notation. [1] It is also $$\{a,b,98\}$$ in BEAF, $$E(a)\underbrace{1\#1\#1...1\#1\#1}_{97}\#b$$ in Hyper-E notation and $$a \rightarrow b \rightarrow 98$$ in chained arrow notation.

Hectational growth rate is equivalent to $$f_{99}(n)$$ in the fast-growing hierarchy.

### Sources Edit

1. Hyper Operators by Aarex Tiaokhiao
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