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单词 Vampire Number
释义

Vampire Number

A number with an Even number of Digits formed by multiplying a pair of -Digitnumbers (where the Digits are taken from the original number in any order) and together. Pairsof trailing zeros are not allowed. If is a vampire number, then and are called its ``fangs.'' Examples ofvampire numbers include

 
 
 
 
 
 
 

(Sloane's A014575). There are seven 4-digit vampires, 148 6-digit vampires, and 3228 8-digit vampires. General formulas canbe constructed for special classes of vampires, such as the fangs
 
 

giving the vampire
 
  
  

where denotes with the Digits reversed (Roushe and Rogers).


Pickover (1995) also defines pseudovampire numbers, in which the multiplicands have different numbers of digits.


References

Pickover, C. A. ``Vampire Numbers.'' Ch. 30 in Keys to Infinity. New York: Wiley, pp. 227-231, 1995.

Pickover, C. A. ``Vampire Numbers.'' Theta 9, 11-13, Spring 1995.

Pickover, C. A. ``Interview with a Number.'' Discover 16, 136, June 1995.

Roushe, F. W. and Rogers, D. G. ``Tame Vampires.'' Undated manuscript.

Sloane, N. J. A. Sequence A014575in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.


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更新时间:2024/11/15 7:48:39