User blog comment:ANDY3556/Andrew's A-Notation/@comment-31867576-20180610164643/@comment-31867576-20180611070344

Okay. I'm gonna make A(x, y)=A(A(A(...x...))) where the recursion happens y times.

A(x, y, z)=A(A(A(A(...A(x, y)..))) where the recursion happens z times.

A(x, y, z, w)=A(A(A(A(...A(x, y, z))))) where the recursion happens w times.

Every step from now on is an iteration,

Oh, and also A is x tetrated to itself now. I'm a new googologist and still trying to figure out new things.

A2(x) is x pentated to A(A(A(...(A(x)))) where the iteration happens A(x) times.

A3(x) is x sextated to A2(A2(A2(...A2(x))))) where the iteratio happens A2(x) times.