Hyper-E notation

The Hyper-E Notation is a notation coined by Sbiis Saibian.

Definition
E(a0)a1#a2#a3# ... ... #an where a0~an are elements of the counting numbers and n is whole:

1. if n < 1 ; E(a0) = a0

2. if n < 2 ; E(a0)a1 = (a0)^(a1)

3. if an = 1 ; E(a0)a1#a2#a3# ... ... #an-1#1 = E(a0)a1#a2#a3# ... ... #an-1

4. E(a0)a1#a2#a3# ... ... an-2#an-1#an = E(a0)a1#a2#a3# ... ... an-2#(E(a0)a1#a2#a3# ... ... an-2#an-1#an -1)