A050750 -id:A050750 - cp's OEIS frontend

A052064 Cubes containing no palindromic substring except single digits.

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

Offset: 1

Patrick De Geest, Jan 15 2000

Sequence is probably finite.

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

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

Harvey P. Dale, Table of n, a(n) for n = 1..1001

Cf. A052063, A052061, A052062, A050750.

npsQ[n_]:=Count[Flatten[Table[Partition[IntegerDigits[n],i,1],{i,2, IntegerLength[ n]}],1],?(#==Reverse[#]&)]==0; Select[Range[ 0,100]^3, npsQ] (* _Harvey P. Dale, Dec 10 2016 *)

Offset changed to 1 by Sean A. Irvine, Oct 17 2019

A050742 Numbers k such that the decimal expansion of k^3 contains no pair of consecutive equal digits.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 47, 51, 52, 54, 56, 57, 59, 62, 65, 66, 69, 72, 73, 75, 76, 79, 83, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 102, 103, 108, 109, 111

Offset: 1

Patrick De Geest, Sep 15 1999

Cf. A050750.

cp's OEIS Frontend

A052064 Cubes containing no palindromic substring except single digits.

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A050742 Numbers k such that the decimal expansion of k^3 contains no pair of consecutive equal digits.

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