Powermegoexpansion refers to the binary function \(\{a,b,3,2,2\}\), using BEAF.[1] The term was coined by Aarex Tiaokhiao.
In the fast-growing hierarchy, \(f_{\omega^2+\omega+2}(n)\) approximately corresponds to powermegoexpandal growth rate.
\(\{a,2,3,2,2\}\) = \(\{a,a,a,2,2\}\)
\(\{a,3,3,2,2\}\) = \(\{a,a,\{a,2,3,2,2\},2,2\}\)
\(\{a,b+1,3,2,2\}\) = \(\{a,a,\{a,b,3,2,2\},2,2\}\)
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3 entry: undecation · doedecation · tredecation · vigintation (doe) · trigintation · centation (tri) · aperiotion (hyper)
4 entry: undeconation · doedeconation · tredeconation · aperioexpansion
5 entry: megotion (multi/power/tetra) · megoexpansion (multi/power/tetra) · megoexplosion · megodetonation · gigotion (expand/explod/deto) · terotion · petotion · hatotion · hepotion · ocotion · nanotion · uzotion · uuotion · udotion · utotion · ueotion · upotion · uhotion · uaotion · uootion · unotion · dzotion · tzotion · uzzotion
6 entry: powiaination (multi/power/tetra) · expandaination (multi/power/tetra) · explodaination · detodaination · megodaination · megoexpandaination · megoexplodaination · megodetodaination · gigodaination · terodaination · powiairiation · megodairiation · gigodairiation · terodairiation
7+ entry: heptogation · octogation · enneogation · decogation
Dimensional: iteration