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A300586 Number of partitions of n into distinct squarefree parts that do not divide n. 2
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 (list; graph; refs; listen; history; text; internal format)
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.

Sequence in context: A001176 A136693 A086685 * A094571 A316477 A104733

Adjacent sequences:  A300583 A300584 A300585 * A300587 A300588 A300589

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 09 2018

STATUS

approved

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Last modified December 11 19:37 EST 2018. Contains 318049 sequences. (Running on oeis4.)