

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



