A330616 Palindromes that are the product of 2 non-palindromic numbers.

252, 272, 323, 414, 434, 444, 464, 494, 525, 555, 575, 585, 595, 636, 646, 656, 666, 676, 686, 696, 767, 777, 828, 848, 868, 888, 949, 969, 989, 999, 2002, 2112, 2772, 2992, 3003, 3553, 4004, 4224, 4554, 4774, 4884, 5005, 5115, 5225, 5775, 6006, 6336, 6996, 7007

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

272=16*17 is a term but 282=6*47 is not a term.

Mathematica

seqQ[n_] := PalindromeQ[n] && AnyTrue[Divisors[n], ! PalindromeQ[#] && ! PalindromeQ[n/#] &]; Select[Range[7007], seqQ] (* Amiram Eldar, Mar 01 2020 *)

Crossrefs

Subsequence of A084325 (palindromes such that at least one divisor is non-palindromic).

Cf. A062687 (numbers all of whose divisors are palindromic).

Sequence in context: A113899 A045182 A394546 * A046331 A066695 A372755

Adjacent sequences: A330613 A330614 A330615 * A330617 A330618 A330619

Keyword

nonn,base

Author

Bernard Schott, Mar 01 2020

Extensions

More terms from Amiram Eldar, Mar 01 2020

Status

approved