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A369217
Number of partitions of n into squarefree parts not greater than sqrt(n).
0
1, 1, 1, 1, 3, 3, 4, 4, 5, 12, 14, 16, 19, 21, 24, 27, 30, 33, 37, 40, 44, 48, 52, 56, 61, 156, 172, 189, 207, 226, 247, 268, 291, 315, 340, 367, 892, 973, 1064, 1159, 1260, 1368, 1485, 1604, 1735, 1872, 2016, 2169, 2333, 5431, 5897, 6394, 6923, 7486, 8088, 8724
OFFSET
0,5
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1 - Boole[SquareFreeQ[k]] x^k), {k, 1, Floor[Sqrt[n]]}], {x, 0, n}], {n, 0, 55}]
CROSSREFS
Sequence in context: A120196 A196179 A120188 * A369218 A097356 A083522
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 16 2024
STATUS
approved