OFFSET
0,10
FORMULA
a(n) = [x^n y^3] Product_{k>=1} (1 + mu(k)^2*y*x^k).
EXAMPLE
a(15) = 4 because we have [11, 3, 1], [10, 3, 2], [7, 6, 2] and [7, 5, 3].
MATHEMATICA
Table[Count[IntegerPartitions[n, {3}], _?(And[UnsameQ @@ #, AllTrue[#, SquareFreeQ[#] &]] &)], {n, 0, 75}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 01 2019
STATUS
approved