Ackermann's Generalized Exponential Notation

Ackermann's Generalized Exponential Notation is a large number notation.Googology
=== Formula ===
* g(a, b, c) = g(a-1, g(a, b-1, c), c)
* g(a ,0, c) = 1
* g(0, b, c) = b + c
* g(1, b, c) = bc
Joyce's more generalized Generalized Exponential Notation including nestings and roostings.
* g(a, b, c, d) = g(a - 1, b, c, g(b, c, d))
* g(a, b, c, d, e) = g(a - 1, b, c, g(b, c, d, e), e)
* g(a, b, c, d, e, f) = g(a - 1, b, c, g(b, c, d, e, f), e, f)
=== Examples ===
g(3,4,5) = 5 tetrated to 4
g(5, 3, 2) = g(4, g(5, 2, 2), 2) = 2 hexated to 3
===In up-arrow notation===
* \(g(2,b,c) = c^{b}\)
* \(g(3,b,c) = c\uparrow\uparrow{b}\)
* \(g(a,b,c) = c\uparrow^{a-1}{b}\)
=== Sources ===
Category:Notations
Category:Functions