释义 |
Super-3 NumberAn 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 .  | Sloane | Super- numbers | 2 | Sloane's A032743 | 19, 31, 69, 81, 105, 106, 107, 119, 127, ... | 3 | Sloane's A014569 | 261, 462, 471, 481, 558, 753, 1036, 1046, ... | 4 | Sloane's A032744 | 1168, 4972, 7423, 7752, 8431, 10267, 11317, ... | 5 | Sloane's A032745 | 4602, 5517, 7539, 12955, 14555, 20137, 20379, ... | 6 | Sloane's A032746 | 27257, 272570, 302693, 323576, 364509, 502785, ... | 7 | Sloane's A032747 | 140997, 490996, 1184321, 1259609, 1409970, ... | 8 | Sloane's A032748 | 185423, 641519, 1551728, 1854230, 6415190, ... | 9 | Sloane's A032749 | 17546133, 32613656, 93568867, 107225764, ... |
ReferencesPickover, 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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