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A303365
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Number of integer partitions of the n-th squarefree number using squarefree numbers.
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3
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1, 2, 3, 6, 9, 12, 28, 36, 60, 76, 96, 150, 228, 342, 416, 504, 877, 1484, 1759, 2079, 2885, 3387, 3968, 5413, 6304, 7328, 9852, 11395, 13159, 20082, 23056, 39532, 51385, 66488, 85660, 97078, 109907, 140465, 158573, 226918, 255268, 286920, 361606, 405470
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..44.
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FORMULA
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a(n) = A073576(A005117(n)).
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EXAMPLE
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The a(5) = 9 partitions are (6), (51), (33), (321), (3111), (222), (2211), (21111), (111111).
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MATHEMATICA
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nn=80;
sqf=Select[Range[nn], SquareFreeQ];
ser=Product[1/(1-x^sqf[[n]]), {n, Length[sqf]}];
Table[SeriesCoefficient[ser, {x, 0, n}], {n, sqf}]
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CROSSREFS
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Cf. A000051, A005117, A072774, A073576, A078374, A302491, A302796, A303283, A303364.
Sequence in context: A325552 A271882 A123316 * A096845 A285084 A248187
Adjacent sequences: A303362 A303363 A303364 * A303366 A303367 A303368
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KEYWORD
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nonn
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AUTHOR
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Gus Wiseman, Apr 22 2018
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STATUS
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approved
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