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Search: id:A052063
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| A052063 |
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Numbers n such that decimal expansion of n^3 contains no palindromic substring except single digits. |
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+0
6
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| 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; listen)
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OFFSET
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1,3
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COMMENT
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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
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EXAMPLE
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E.g. 19^3 = 6859 -> substrings 68, 85, 59, 685, 859 and 6859 are all nonpalindromic.
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CROSSREFS
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Cf. A052064, A052061, A052062, A050742.
Sequence in context: A101271 A093110 A165707 this_sequence A129525 A084693 A121644
Adjacent sequences: A052060 A052061 A052062 this_sequence A052064 A052065 A052066
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KEYWORD
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nonn,base
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Jan 15 2000.
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