Ice's Salad Function

Ice's Salad Function is one of the worst functions ever created.
f(x) would be \left(x^{x!}\right)\uparrow\uparrow x (or \underbrace \left(x^{x!}\right)_x
, both ways are correct).
f(1)(1^1!) would simply be 1.
f(2) (2^2^2^2) would be 65536.
f(3) (3^6^3^6^3^6) would be a number greater than what most computers can handle.
f(4) would be 4^24^4^24^4^24^4^24.
f(5) would be 5^120^5^120^5^120^5^120^5^120, and so on.
==Extensions==
f(x,y) would be \left(x+y^{x+y!}\right)\uparrow\uparrow x+y
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Category:Function