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Least k such that d(k*n^2) = d(n*k^2) where d = A000005.
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%I #9 Mar 20 2018 19:01:20

%S 1,2,2,4,2,6,2,8,4,6,2,12,2,6,6,16,2,12,2,12,6,6,2,24,4,6,8,12,2,30,2,

%T 6,6,6,6,36,2,6,6,24,2,30,2,12,18,6,2,45,4,18,6,12,2,24,6,24,6,6,2,60,

%U 2,6,18,64,6,30,2,12,6,30,2,72,2,6,12,12,6,30,2,48,16,6,2,60,6,6,6,24

%N Least k such that d(k*n^2) = d(n*k^2) where d = A000005.

%C Numbers n such that a(n) is different from A046523(n) are 32, 45, 48, 50, 63, ...

%H Antti Karttunen, <a href="/A275468/b275468.txt">Table of n, a(n) for n = 1..65537</a>

%e a(32) = 6 because A000005(6*32^2) = A000005(32*6^2).

%o (PARI) a(n) = {my(k = 1); while (numdiv(k*n^2) != numdiv(n*k^2), k++); k; }

%Y Cf. A000005, A046523.

%K nonn

%O 1,2

%A _Altug Alkan_, Jul 28 2016