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 hyperfactorial on $[-2,2]$.

• Domain coloring hyperfactorial.png

  Domain coloring of analytic continuation of $H(n)$.