Doodol

A doodol is an overly large number. Not really anything else to say about it.

1st Step
First, we gotta start with a function. Since we cannot make brackets stretching across stuff without FANDOM's wonky LaTeX system, we'll use BAF array instead to represent it, as BAF is perfect for doing this.


 * F0, 0(a) = [repa, 3] (BAF)

Examples

 * F0, 0(1) = [1, 1, 1] = 1
 * F0, 0(2) = 4, solved with the properties of 2.
 * F0, 0(3) = [3, 3, 3] = almost G3, add 1 to the middle entry and it IS G3.

2nd Step
That's not all. We can go further.


 * Fa, 0(b) = Fa-1, 0(Fa-1, 0(b))(b)

Examples

 * F1, 0(1) = F0, 0(1) = 1, already solved
 * F1, 0(2) = F(F(F(F(2)))) = F(F(F(4))) = MY GOODNESS
 * F2, 0(2) = F(F(F(... (F1(2) nested) ... 2))) = OH MY FREAKING GOD WHY

3rd Step
Not even THAT's the end.


 * Fa, b(c) = [repF a, 0(c), Fa, b-1(c) ] (BAF)

Examples
No, forget it. It's already big. No examples, but I can tell you one thing here that needs to be...


 * F10100, 10100(10100) = Doodol