K-Function
المؤلف:
Sloane, N. J. A
المصدر:
Sequence A002109/M3706 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
22-5-2019
1853
K-Function
For positive integer 
, the 
-function is defined by
where the numbers 
are called hyperfactorials by Sloane and Plouffe (1995). It is related to the Barnes G-function by
![K(n)=([Gamma(n)]^(n-1))/(G(n)).](http://mathworld.wolfram.com/images/equations/K-Function/NumberedEquation1.gif) |
(3)
|
The first few values of 
for 
, 2, ... are 1, 1, 4, 108, 27648, 86400000, 4031078400000, ... (OEIS A002109).
REFERENCES:
Sloane, N. J. A. Sequence A002109/M3706 in "The On-Line Encyclopedia of Integer Sequences."
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, p. 264, 1990.
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