User blog:Xanmangaming/XECFN

Xanman's Extended Customizable Factorial Notation.

XCFN
The original, XCFN, worked like this:

n{x,y} meant using the xth hyperoperator and using a step (the actual step is 1/2^y) of y. Here's an example:

3{3,1} means using a hyperoperator of 3 (powers) and a step of 1/2^1, or 1/2. This means you use this:

3^2.5^2^1.5^1.

Well, get ready  for more!

​XECFN Introduction
n{a,b,c,d}.

Let me explain. a and b work like before. Now this is where things get juicy. C actually takes a function ​as input; you'll see why. D is the "repeater".

First, let's introduce the "jumping factorial".