

A052063


Numbers k such that the decimal expansion of k^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
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OFFSET

1,3


COMMENTS

Leading zeros in substring are 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. AdamsWatters, Nov 15 2006


LINKS

Table of n, a(n) for n=1..65.


EXAMPLE

19^3 = 6859 > substrings 68, 85, 59, 685, 859 and 6859 are all nonpalindromic.


CROSSREFS

Cf. A052064, A052061, A052062, A050742.
Sequence in context: A101271 A093110 A165707 * A129525 A295165 A258023
Adjacent sequences: A052060 A052061 A052062 * A052064 A052065 A052066


KEYWORD

nonn,base


AUTHOR

Patrick De Geest, Jan 15 2000


STATUS

approved



