User blog:GamesFan2000/Alternate Ackermann Function

This function is heavily based on the Ackermann function. However, it comes with a few tweaks to make it even more powerful. The rules are as follows:

Rule 1: A(0, y)=2y

Rule 2: A(x, 0)=A(x-1, A(x-1, ...x+1 A’s...A(x-1, x)...))

Rule 3: A(x, y)=A(x-1, A(x-1, ...y+1 A’s...A(x, y-1)...))

A(1, 1)=A(0, A(1, 0))=A(0, A(0, A(0, 1)))=8

A(2, 2)=A(1, A(1, A(2, 1)))=A(1, A(1, A(1, A(2, 0)))))=A(1, A(1, A(1, A(1, A(1, A(1, 2)))))))=A(1, A(1, A(1, A(1, A(1, A(0, A(0, A(1, 1))))))))=A(1, A(1, A(1, A(1, A(1, A(0, A(0, 8)))))))=A(1, A(1, A(1, A(1, A(1, 32)))))