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

0,8

Links

Table of n, a(n) for n=0..65.

Index entries for sequences related to partitions

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A195962 A046749 A016543 * A145999 A198316 A011128

Adjacent sequences: A300582 A300583 A300584 * A300586 A300587 A300588

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 09 2018

Status

approved