Difference between revisions of "Hyperfactorial"
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File:Loghyperfactorialplot.png|Plot of the [[logarithm]] of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone). | File:Loghyperfactorialplot.png|Plot of the [[logarithm]] of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone). | ||
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=Properties= | =Properties= | ||
| − | [[Hyperfactorial | + | [[Hyperfactorial in terms of K-function]]<br /> |
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[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 19:39, 25 September 2016
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).
Properties
Hyperfactorial in terms of K-function
