Assertion: factorial function | /r/CapableOf | use knuth's up-arrow notation
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text: A single-argument version f(n) = A(n, n) that increases both m and n at the same time dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi- and superfactorial functions, and even functions defined using Knuth's up-arrow notation (except when the indexed up-arrow is used).