Hyperfactorial
From specialfunctionswiki
The hyperfactorial is defined for integers $n=1,2,3,\ldots$ by the formula $$H(n)=\displaystyle\prod_{k=1}^n k^k.$$
Plot of the logarithm of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone).
- Domain coloring hyperfactorial.png
Domain coloring of analytic continuation of $H(n)$.
