A300586 - OEIS

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

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OFFSET

0,12

LINKS

Table of n, a(n) for n=0..73.

Index entries for sequences related to partitions

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

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