A035133 Cubeful (i.e., not cubefree) palindromes.

8, 88, 232, 272, 343, 424, 464, 616, 656, 686, 696, 808, 848, 888, 999, 1331, 2112, 2552, 2662, 2992, 3773, 3993, 4224, 4664, 6336, 6776, 8008, 8448, 8888, 14641, 18981, 19791, 21112, 21312, 21512, 21712, 21912, 23032, 23232, 23432, 23632

Offset

1,1

Comments

Chourasiya & Johnston show that there are infinitely many palindromes not in this sequence. - Charles R Greathouse IV, May 14 2025

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..627 from R. J. Mathar)

Shashi Chourasiya and Daniel R. Johnston, Power-free palindromes and reversed primes, arXiv preprint (2025). arXiv:2503.21136 [math.NT]

Eric Weisstein's World of Mathematics, Cubefree.

Formula

A046099 INTERSECT A002113. - R. J. Mathar, Dec 08 2015

Example

E.g., 34643 = 7^3 * 101.

Mathematica

Select[Range[25000], PalindromeQ[#]&&Max[FactorInteger[#][[;; , 2]]]>2&] (* Harvey P. Dale, Feb 18 2024 *)

Crossrefs

Cf. A002113, A004709, A035132, A046099.

Sequence in context: A284069 A292458 A292738 * A045643 A250228 A250276

Adjacent sequences: A035130 A035131 A035132 * A035134 A035135 A035136

Keyword

nonn,base

Author

Patrick De Geest, Nov 15 1998

Status

approved