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%I #5 May 01 2019 09:14:31
%S 0,0,0,0,0,0,1,0,1,2,3,2,2,3,5,4,4,5,9,8,8,9,12,11,11,12,16,15,15,17,
%T 21,19,18,20,25,24,22,28,33,32,28,33,40,37,35,40,50,47,42,48,58,56,48,
%U 56,65,66,57,63,73,73,65,70,82,80,74,81,92,90,80,92,102,102,88,104,116,116
%N Number of partitions of n into 3 distinct squarefree parts.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = [x^n y^3] Product_{k>=1} (1 + mu(k)^2*y*x^k).
%e a(15) = 4 because we have [11, 3, 1], [10, 3, 2], [7, 6, 2] and [7, 5, 3].
%t Table[Count[IntegerPartitions[n, {3}], _?(And[UnsameQ @@ #, AllTrue[#, SquareFreeQ[#] &]] &)], {n, 0, 75}]
%Y Cf. A005117, A008683, A087188, A098236, A125688, A307815, A307825.
%K nonn
%O 0,10
%A _Ilya Gutkovskiy_, May 01 2019