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Hyperfactorial




:H(n)=\prod_{k=1}^n k^k.

For ''n'' = 1, 2, 3, 4,... the values of ''H''(''n'') are 1, 4, 108 , 27648,... .

The hyperfactorial function is similar to the factorial, but produces larger numbers. The rate of growth of this function, however, is not much larger than a regular factorial.

The hyperfactorial function can be generalized to Complex Number s in a similar way as the factorial function; the resulting function is called the K-function .