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单词 Super-3 Number
释义

Super-3 Number

An Integer such that contains three consecutive 3s in its Decimal representation. The first fewsuper-3 numbers are 261, 462, 471, 481, 558, 753, 1036, ... (Sloane's A014569). A. Anderson has conjectured that all numbersending in 471, 4710, or 47100 are super-3 (Pickover 1995).


For a digit , super-3 numbers can be generalized to super- numbers such that contains s in itsDecimal representation. The following table gives the first few super- numbers for small .

SloaneSuper- numbers
2Sloane's A03274319, 31, 69, 81, 105, 106, 107, 119, 127, ...
3Sloane's A014569261, 462, 471, 481, 558, 753, 1036, 1046, ...
4Sloane's A0327441168, 4972, 7423, 7752, 8431, 10267, 11317, ...
5Sloane's A0327454602, 5517, 7539, 12955, 14555, 20137, 20379, ...
6Sloane's A03274627257, 272570, 302693, 323576, 364509, 502785, ...
7Sloane's A032747140997, 490996, 1184321, 1259609, 1409970, ...
8Sloane's A032748185423, 641519, 1551728, 1854230, 6415190, ...
9Sloane's A03274917546133, 32613656, 93568867, 107225764, ...

References

Pickover, C. A. Keys to Infinity. New York: Wiley, p. 7, 1995.

Sloane, N. J. A. Sequence A014569in ``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:2025/2/22 2:09:10