User blog:VoidSansXD/Notation thingy

Maybe part 1?

RULES:

1.)  φ1(n) = adding all numbers before n, so n+(n-1)+(n-2).........+7+6+5+4+3+2+1+0

2.)  φ2(n) = Multiplying all numbers before n, or just n!

3.)  φ3(n) = Exponentiating all numbers before n, or n^(n-1)^(n-2)...........^5^4^3^2^1^0

4.)  φx(n) = Repeated use of the (x-1)th hyper-operation, until you reach 0.

5.)  φφ1(n) = φn(n)

6.)  φφ2(n) = φ(φ(φ(φ.............φ(φ(φ(φ(φn(n)(n)(n))).....)))))) with n layers, from the inner-most out.

7.)  φφ3(n) = φφ2(φφ2(φφ2(φφ2............φφ2(φφ2(φφ2(φφ2(n))(n))))............. with n layers, from the inner-most out.

8.)  φφx(n) = φφ(x-1)(φφ(x-1)..............φφ(x-1)(φφ(x-1)(φφ(x-1)(n)))(n))))..................)))) with n layers, from the inner-most out.

That's it for now :D