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单词 Superfactorial
释义

Superfactorial

The superfactorial of is defined by Pickover (1995) as


The first two values are 1 and 4, but subsequently grow so rapidly that already has a huge number of digits.


Sloane and Plouffe (1995) define the superfactorial by


which is equivalent to the integral values of the G-Function. The first few values are 1, 1,2, 12, 288, 34560, ... (Sloane's A000178).

See also Factorial, G-Function, Large Number, Subfactorial


References

Pickover, C. A. Keys to Infinity. New York: Wiley, p. 102, 1995.

Sloane, N. J. A. SequenceA000178/M2049in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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