%I
%S 0,0,0,0,0,2,0,0,4,6,0,8,8,8,8,16,0,16,0,16,32,32,0,32,48,48,56,56,96,
%T 96,64,128,128,192,256,384,384,384,512,768,512,512,512,512,448,448,
%U 768,896,896,896,896,896,768,768,2048,2048,4096,4096,2048,2048,2048,2048
%N Number of nonunitary but squarefree divisors of binomial(n,floor(n/2)). Also number of nonsquarefree but unitary divisors of binomial(n,floor(n/2)).
%F a(n) = A039593(n)  A000005(A055231(x)) = A039593(n)  A000005(A007913(x)/A055229(x)), where x = A001405(n) = binomial(n, floor(n/2)).
%e n=14, C(14,7)=3432, has 32 divisors, 16 unitary, 16 squarefree. The size of overlap is 8. The complementary parts are: nonunitary/squarefree set={2,6,22,26,66,78,286,828}, while the unitary/not squarefree set of equal size is {8,24,88,104,264,312,1144,3432}. So a(14)=8.
%Y Cf. A039593, A000005, A055231, A007913, A055229, A001405.
%K nonn
%O 1,6
%A _Labos Elemer_, Aug 10 2000
