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Search: id:A052064
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A052064 Cubes containing no palindromic substring except single digits. +0
6
0, 1, 8, 27, 64, 125, 216, 512, 729, 1728, 2197, 4096, 4913, 5832, 6859, 9261, 10648, 13824, 15625, 19683, 21952, 24389, 32768, 35937, 42875, 50653, 54872, 59319, 68921, 79507, 85184, 103823, 132651, 185193, 205379, 274625, 287496, 328509 (list; graph; listen)
OFFSET

0,3

COMMENT

Leading zeros in substring allowed so 52^2 = 140608 is rejected because 14{060}8 contains a palindromic substring.

EXAMPLE

E.g. 132651 (= 51^3) -> substrings 13, 32, 26, 65, 51, 132, 326, 265, 651, 1326, 3265, 2651, 13265, 32651 and 132651 are all nonpalindromic.

CROSSREFS

Cf. A052063, A052061, A052062, A050750.

Sequence in context: A100571 A125084 A052048 this_sequence A125496 A030289 A111131

Adjacent sequences: A052061 A052062 A052063 this_sequence A052065 A052066 A052067

KEYWORD

nonn,base

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Jan 15 2000.

EXTENSIONS

Probably finite.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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