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The definition is based in part on Hyper-E notation, although the notation is quite different.

Many Hyper-E Numbers can also be expressed using this function, as you will see below.

Definition

F_{a}(X)=F_{a-1}(F_{a}(X-1))

F_{a}(1)=F_{a-1}(100)

F_{1}(X)=10^{X}

F_{a,b}(X)=F_{a-1,b}(F_{a,b}(X-1))

F_{a,b}(1)=F_{a-1,b}(100)

F_{1,b}(X)=F_{F_{1,b}(X-1),b-1}(1)

F_{1,b}(1)=F_{100,b-1}(1)

F_{a,1}(X)=F_{a}(X)

(This may look like a lot, but some of the equations are simply 2-entry versions of preceeding 1-entry equations)

EXAMPLES

F1(0)=1

F1(1)=10

F1(3)=1000

F1(10)=Dialogue

F1(100)=F1(1)=Googol

F1(101)=Googolty

F1(200)=Gargoogol

F1(1000)=Great googol

F1(100000)=Googolgong

F1(100000000)=Googolmine

F2(2)=Googolplex

F2(3)=Googolduplex

F2(4)=Googoltriplex

F2(100)=F3(1)=Grangol

F2(101)=Grangolplex

F3(2)=Grangoldex

F3(3)=Grangoldudex

F3(100)=F4(1)=Greagol

F100(1)=F1,2(1)=Gugold

F1,2(2)=Gugolda-suplex

F1,2(3)=Gugolda-dusuplex

F2,2(1)=Graatagold

F3,2(1)=Greegold

F100,2(1)=F1,3(1)=Gugolthra

F1,4(1)=Gugoltesla

F1,100(1)=Throogol

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