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The & function ($ x\overset{y}{\&} $) is a very rapidly growing function. It is a shortening of MBN's [x,x].

It works like this:

1& = [1,1] = 1↑1 = 1

2& = [2,2] = 2↑↑2 = 4

3& = [3,3] = 3↑↑↑3 = $ \underbrace{3^{3^{cdots^{3^3}}}}_{\approx 7.6*10^{12}} $

4& = [4,4] = 4↑↑↑↑4 = Ma2

...

But then, you could NeSt It LoL xD

So, x& is always $ x \overset{1}{\&} $, but when you want to indicate multiple &'s, then you use $ \overset{y}{\&} $ (ex: $ 5 \overset{3}{\&} = 5 \& \& \& $). The & function with the number on top being 2 can be expressed as [[x,x],[x,x]], and the number of the top being 3, it will be [[[x,x],[x,x]],[[x,x],[x,x]]], and the number in the top being 4, then the MBN will be [[[[x,x],[x,x]],[[x,x],[x,x]]],[[[x,x],[x,x]],[[x,x],[x,x]]]], and so on.

Another cool fact is that $ 4 \overset{x}{\&} = Ma_{x+1} $.

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