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Search: id:A052061
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| A052061 |
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Numbers n such that decimal expansion of n^2 contains no palindromic substring except single digits. |
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+0
6
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 16, 17, 18, 19, 23, 24, 25, 27, 28, 29, 31, 32, 33, 36, 37, 39, 41, 42, 43, 44, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 64, 66, 68, 69, 71, 72, 73, 74, 75, 78, 79, 82, 84, 86, 87, 89, 93, 95, 96, 97, 98, 99, 104, 113, 116, 117, 118, 124
(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 103^2 = 10609 is rejected because 1{060}9 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. 118^2 = 13924 -> substrings 13, 39, 92, 24, 139, 392, 924, 1392, 3924 and 13924 are all nonpalindromic.
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CROSSREFS
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Cf. A052062, A052063, A052064, A050741.
Sequence in context: A092598 A007377 A135140 this_sequence A045540 A119509 A055568
Adjacent sequences: A052058 A052059 A052060 this_sequence A052062 A052063 A052064
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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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