Centation refers to the 100th hyperoperation starting from addition. It is equal to the binary function \(\uparrow^{98}\), using Knuth's up-arrow notation. [1] "a centated to b" is also \(\{a,b,98\}\) in BEAF, \(\textrm E[a]\underbrace{1\#1\#1...1\#1\#1}_{97}\#b\) in Hyper-E notation and \(a \rightarrow b \rightarrow 98\) in chained arrow notation.
Centational growth rate is approximately equivalent to \(f_{99}(n)\) in the fast-growing hierarchy.
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Main article: hyper operator
Hyper-operators: successor · addition · multiplication · exponentiation · tetration · pentation · hexation · heptation · octation · enneation · decation (un/doe/tre) · vigintation (doe) · trigintation · centation (tri) · docentation · myriation · circulationBowers' extensions: expansion · multiexpansion · powerexpansion · expandotetration · explosion (multi/power/tetra) · detonation · pentonation
Saibian's extensions: hexonation · heptonation · octonation · ennonation · deconation
Tiaokhiao's extensions: megotion (multi/power/tetra) · megoexpansion (multi/power/tetra) · megoexplosion · megodetonation · gigotion (expand/explod/deto) · terotion · more...