A300586 Number of partitions of n into distinct squarefree parts that do not divide n.

1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 4, 2, 2, 4, 6, 2, 8, 4, 6, 6, 15, 4, 11, 10, 12, 8, 30, 3, 38, 24, 17, 24, 23, 14, 70, 36, 37, 23, 102, 8, 122, 49, 39, 80, 177, 38, 136, 54, 113, 101, 297, 60, 152, 102, 192, 226, 485, 28, 571, 312, 200, 390, 338, 84, 908, 393, 507, 104, 1229, 241, 1421

Offset: 0

Author

Ilya Gutkovskiy, Mar 09 2018

Keywords

• nonn

Examples

			a(14) = 2 because we have [11, 3] and [6, 5, 3].
		

Links

• Index entries for sequences related to partitions

Crossrefs

Cf. A005117, A087188, A200745, A209402, A225245, A300584, A300585.

Programs

Mathematica

Table[SeriesCoefficient[Product[(1 + Boole[Mod[n, k] != 0 && SquareFreeQ[k]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 73}]