Talk:Hyperfactorial

Okay, some thoughts concerning this function.


 * 1) Are there any numbers equal to the sum of the hyperfactorials of their digits? A brief brute-force search convinces me that there are no such numbers; if there are any, they're very large.
 * 2) Can we generalize H(n) for the real numbers or the complex plane, the way the gamma function generalizes the factorial?
 * 3) Is there an equivalent of Stirling's approximation? I figured out $$\ln H(n) - (n \ln n) / 2 \approx \frac{1}{4}n^2 (2 \ln n - 1)$$, but I'm a beginner at integral calculus and this could be totally wrong.

FB100Z &bull; talk &bull; contribs 19:33, September 6, 2012 (UTC)