Hyperfactorial
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In mathematics, the hyperfactorial is a function on natural numbers that is related to the factorial. Generally written as H(n), it is defined as
- <math>H(n)=\prod_{k=1}^n k^k.</math>
For n = 1, 2, 3, 4,... the values of H(n) are 1, 4, 108, 27648,... Template:OEIS.
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 numbers in a similar way as the factorial function; the resulting function is called the K-function.