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An integer 
such that 
contains three consecutive 3s in its decimal representation is called a super-3 number. The first few super-3 numbers are 261, 462, 471, 481, 558, 753, 1036, ... (OEIS A014569). A.Anderson has shown that all numbers ending in 471, 4710, or 47100 are super-3 (Pickover 1995).
In general, a super-
number is a number 
such that 
contains 
s in its decimal representation. The following table gives the first few super-
numbers for small 
.
 | OEIS | super- numbers |
| 2 | A032743 | 19, 31, 69, 81, 105, 106, 107, 119, ... |
| 3 | A014569 | 261, 462, 471, 481, 558, 753, 1036, ... |
| 4 | A032744 | 1168, 4972, 7423, 7752, 8431, 10267, ... |
| 5 | A032745 | 4602, 5517, 7539, 12955, 14555, 20137, ... |
| 6 | A032746 | 27257, 272570, 302693, 323576, ... |
| 7 | A032747 | 140997, 490996, 1184321, 1259609, ... |
| 8 | A032748 | 185423, 641519, 1551728, 1854230, ... |
| 9 | A032749 | 17546133, 32613656, 93568867, ... |
The following table gives the first few palindromic super-
numbers for small 
.
 | OEIS | palindromic super- numbers |
| 2 | A032750 | 131, 181, 333, 454, 919, 969, 1331, ... |
| 3 | A032751 | 4554, 6776, 17471, 22322, 22722, 28182, 43434, ... |
| 4 | A032752 | 83338, 1142411, 1571751, 1587851, 2013102, ... |
| 5 | A032753 | 3975793, 9799979, 39199193, 41299214, 65455456, ... |
| 6 | A032754 | 2023202, 374929473, 458353854, 499202994, 749858947, ... |
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More things to try:
References
Pickover, C.A. Keys to Infinity. New York: Wiley, p.7, 1995.Sloane, N.J.A. Sequences A014569, A032743, A032744, A032745, A032746, A032747, A032748, A032749, A032750, A032751, A032752, A032753, A032754, A032755, and A032756 in "The On-Line Encyclopedia of Integer Sequences."
Referenced on Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Super-d Number." FromMathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Super-dNumber.html
