%I A092520
%S A092520 1,2,2,4,2,4,2,5,4,4,2,8,2,4,4,7,2,8,2,8,4,4,2,10,4,4,5,8,2,8,2,8,4,4,
               4,
%T A092520 16,2,4,4,10,2,8,2,8,8,4,2,14,4,8,4,8,2,10,4,10,4,4,2,16,2,4,8,10,4,8,
               2,
%U A092520 8,4,8,2,20,2,4,8,8,4,8,2,14,7,4,2,16,4,4,4,10,2,16,4,8,4,4,4,16
%N A092520 Number of square divisors of n-th cube.
%C A092520 a(n) = A000005(n) iff n is square-free.
%e A092520 n=12, the divisors of 12^3=1728 are 1=1^2, 2, 3, 4=2^2, 6, 8,
%e A092520 9=3^2, 12, 16=4^2, 18, 24, 27, 32, 36=6^2, 48, 54, 64=8^2, 72, 96, 108,
%e A092520 144=12^2, 192, 216, 288, 432, 576=24^2, 864 and 1728: eight of them are
%e A092520 squares, therefore a(12)=8.
%Y A092520 Cf. A000578, A048785, A000290, A005117.
%Y A092520 Sequence in context: A075526 A001223 A118776 this_sequence A147848 A129089 
               A124315
%Y A092520 Adjacent sequences: A092517 A092518 A092519 this_sequence A092521 A092522 
               A092523
%K A092520 nonn
%O A092520 1,2
%A A092520 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 06 2004