%I #12 Feb 04 2022 08:28:19

%S 12,18,20,24,28,40,44,45,48,50,52,54,56,60,63,68,72,75,76,80,84,88,92,

%T 96,98,99,104,108,112,116,117,120,124,132,135,136,140,144,147,148,150,

%U 152,153,156,160,162,164,168,171,172,175,176,180,184,188,189,192,200

%N Numbers whose prime factorization viewed as a tuple of nonzero powers is not palindromic.

%C These are terms that appear in 2-cycles of permutation A069799.

%C Complement of A242414.

%H Alois P. Heinz, <a href="/A242416/b242416.txt">Table of n, a(n) for n = 1..10000</a>

%e 12 = p_1^2 * p_2^1 is present, as (2,1) is not a palindrome.

%p q:= n-> (l-> is(n<>mul(l[i, 1]^l[-i, 2], i=1..nops(l))))(sort(ifactors(n)[2])):

%p select(q, [$1..200])[]; # _Alois P. Heinz_, Feb 04 2022

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A242416 (COMPLEMENT 1 A242414))

%Y Complement: A242414.

%Y A subsequence of A059404, from which this differs for the first at n=23, as 90 = A059404(23) is not member of this sequence, as the exponents in the prime factorization of 90 = 2^1 * 3^2 * 5^1 form a palindrome, even though 90 is not a power of a squarefree number.

%Y Cf. A069799.

%K nonn

%O 1,1

%A _Antti Karttunen_, May 29 2014