Hyperfactorial

The hyperfactorial is defined for integers $n=1,2,3,\ldots$ by the formula $$H(n)=\displaystyle\prod_{k=1}^n k^k.$$

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  Plot of the logarithm of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone).

Properties

Hyperfactorial in terms of K-function