User blog comment:Swooped me in one hit/tetrallion/@comment-29310326-20170215091159/@comment-29915175-20170215101006

You need to come up with your own function or notation.

Let me give you an example as I make one up off the top of my head.

Let's say that f(x) = the product of every integer less than or equal to x, repeated x times.

For example, f(1) = 1, f(2) = 4 (2 * 1 * 2 * 1), f (3) = 216, f(4) = 331,776, etc.

Now think of a way to make it more powerful.

fA0(x) = (f(f(f(...(f(x))))...) where the number of iterations of the function is equal to x. So fA0(1) = 1, fA0(2) = 331,776, fA0(3) = (f(f(216)), etc.

Let's keep extending it:

fA1(x) = (fA0(FA0(fA0(...(fA0(x)))))...))) with a number of iterations equal to FA0(x)

We can now generalize this: FAn(x) = FA[n-1](FA[n-1](FA[n-1](....(FA[n-1](x)))...))) with a number of iterations equal to FA[n-1](X)

Now we can make some pretty powerful functions. For example, FA1000000(1000000) is quite impressive. But it's still not that much Googologically speaking, so you can try to find ways to further increase the power of the function.