Heptation or septation refers to the 7th hyperoperation. It is equal to the binary function \(\uparrow\uparrow\uparrow\uparrow\uparrow\) in Knuth's up-arrow notation.[1][2]
"a heptated to b" can be written in array notation as \(\{a,b,5\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 5\) and in Hyper-E notation as E[a]1#1#1#1#b.
Heptational growth rate is equivalent to \(f_6(n)\) in the fast-growing hierarchy.
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See also
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...