A300585 Number of partitions of n into squarefree parts that do not divide n.

1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 7, 1, 12, 3, 4, 8, 29, 2, 42, 8, 18, 18, 87, 7, 71, 36, 67, 32, 234, 3, 319, 98, 126, 118, 192, 31, 772, 205, 293, 98, 1347, 21, 1763, 338, 295, 574, 2973, 116, 2290, 298, 1359, 932, 6287, 214, 2670, 843, 2744, 2334, 12828, 66, 16155, 3620, 2835, 4584, 8380

Offset: 0

Author

Ilya Gutkovskiy, Mar 09 2018

Keywords

• nonn

Examples

			a(14) = 3 because we have [11, 3], [6, 5, 3] and [5, 3, 3, 3].
		

Links

• Index entries for sequences related to partitions

Crossrefs

Cf. A005117, A073576, A098743, A128515, A225244, A300580, A300586.

Programs

Mathematica

Table[SeriesCoefficient[Product[1/(1 - Boole[Mod[n, k] != 0 && SquareFreeQ[k]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 65}]