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A300585
Number of partitions of n into squarefree parts that do not divide n.
2
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
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}]
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 09 2018
STATUS
approved