A-ooga


 * "Megision" redirects here. It is not to be confused with megiston.

[[File:Mega_in_the_circle.svg|thumb|Mega in the circle is much larger than 2 in the circle.
 * 102x102px]]

The a-ooga is equal to two inside a hexagon in Steinhaus-Moser Notation. The term was coined by Matt Hudelson. It is also equal to mega in a pentagon, because Hexagon(2) = Pentagon(Pentagon(2)) = Pentagon(mega).

Aarex Tiaokhiao gave this number another name, megision.

A-ooga can be expressed as M(M(2,3),3), M(mega,3) or M(2,4) in Hyper-Moser Notation.

In the up-arrow notation, A-ooga is greater than and comparable to \(2 \uparrow\uparrow\uparrow \text{mega}\).

Designating mega as M and using the general notation proposed by Susan Stepney, a-ooga can be bounded more precisely in Hyper-E notation:

\[\ E\omega#(255+M+M[4]_{1}+M[4]_{2}+...+M[4]_{M-2}+M[4]_{M-1})\\ < \text{A-ooga} < \\ E\omega+1#(255+M+M[4]_{1}+M[4]_{2}+...+M[4]_{M-2}+M[4]_{M-1})

where

\[\ (\alpha_{E2})\#(255)\\ < mega < \\ (\alpha_{E2}\#1)\#(255),\]

\[\\ \]

\[\ (\alpha_{E2})\#(mega+255)\\ < a_{1} < \\ (\alpha_{E2}\#1)\#(mega+255),\]

\[\\ \]

\[\ (\alpha_{E2})\#(a_{1}+mega+255)\\ < a_{2} < \\ (\alpha_{E2}\#1)\#(a_{1}+mega+255),\]

\[\\ \]

\[\ (\alpha_{E2})\#(a_{2}+a_{1}+mega+255)\\ < a_{3} < \\ (\alpha_{E2}\#1)\#(a_{2}+a_{1}+mega+255),\]

\[\\ \]

\[\ (\alpha_{E2})\#(a_{k-1}+...+a_{1}+mega+255)\\ < a_{k+2} < \\ (\alpha_{E2}\#1)\#(a_{k-1}+...+a_{1}+mega+255), for \ k∈N,\]

\[\\ \]

\[\ (\alpha_{E2})\#(a_{(mega-2)}+...+a_{1}+mega+255)\\ < a_{(mega-1)} < \\ (\alpha_{E2}\#1)\#(a_{(mega-2)}+...+a_{1}+mega+255),\]

\[\\ \]

\[\ (\alpha_{E2}) =\] \[E1992373902852015408770642294514701465291622352905945582973954623675\\ 7445592829019852096549871643037231579555867729029727837739722687243\\ 8336880416507588667030476849951479260448025007899692332294822776204\\ 2887136166511460608650162136031063640924782250697929301283423560589\\ 2457887360583787492777424798206285182369042469497447438158240050711\\ 3232450532054313721633555246142587482700641781836005501387677455593\\ 1578483285863884486949805462052104291419845570558513443720606455732\\ 3165937735931605786380378378018264857422432758696743477636091751483\\ 2673105953482929270180111281652263111505547081990876835247606662936\\ 93562405279021537.\]