|
|
A330616
|
|
Palindromes that are the product of 2 non-palindromic numbers.
|
|
1
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
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).
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|