A super-
number, for a decimal digit 
from 1 to 9, is a positive
integer 
such that 
contains 
consecutive copies of the digit 
in its decimal representation.
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).
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, ... |
