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Date: 29-4-2018
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Date: 23-5-2019
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For positive integer , the -function is defined by
(1) |
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(2) |
where the numbers are called hyperfactorials by Sloane and Plouffe (1995). It is related to the Barnes G-function by
(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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