User blog:SuperJedi224/Another Generic Function

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

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

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

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

$$F_{0}(X)=10^{X}$$

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

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

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

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

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

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

EXAMPLES
F0(0)=1

F0(1)=10

F0(3)=1000

F0(10)=Dialogue

F0(100)=F1(1)=Googol

F0(101)=Googolty

F0(200)=Gargoogol

F0(1000)=Great googol

F0(100000)=Googolgong

F0(100000000)=Googolmine

F1(2)=Googolplex

F1(3)=Googolduplex

F1(4)=Googoltriplex

F1(100)=F2(1)=Grangol

F1(101)=Grangolplex

F2(2)=Grangoldex

F2(3)=Grangoldudex

F2(100)=F3(1)=Greagol

F3(2)=Greagolthrex

F3(3)=Greagolduthrex

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

F2,100(1)=Thrangol

F3,100(1)=Threagol

F100,100(1)=F1,101(1)=Thrugold