|
| |
|
|
A052063
|
|
Numbers n such that decimal expansion of n^3 contains no palindromic substring except single digits.
|
|
5
| |
|
|
0, 1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 16, 17, 18, 19, 21, 22, 24, 25, 27, 28, 29, 32, 33, 35, 37, 38, 39, 41, 43, 44, 47, 51, 57, 59, 65, 66, 69, 73, 75, 76, 84, 88, 93, 94, 97, 102, 108, 109, 115, 116, 123, 125, 128, 133, 134, 135, 139, 144, 145, 147, 148, 155, 156, 159
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| Leading zeros in substring allowed so 52^2 = 140608 is rejected because 14{060}8 contains a palindromic substring.
Probabilistic analysis strongly suggests that this sequence is not finite. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 15 2006
|
|
|
EXAMPLE
| E.g. 19^3 = 6859 -> substrings 68, 85, 59, 685, 859 and 6859 are all non-palindromic.
|
|
|
CROSSREFS
| Cf. A052064, A052061, A052062, A050742.
Sequence in context: A101271 A093110 A165707 * A129525 A190232 A084693
Adjacent sequences: A052060 A052061 A052062 * A052064 A052065 A052066
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), Jan 15 2000.
|
| |
|
|
