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A303365 Number of integer partitions of the n-th squarefree number using squarefree numbers. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..44.

FORMULA

a(n) = A073576(A005117(n)).

EXAMPLE

The a(5) = 9 partitions are (6), (51), (33), (321), (3111), (222), (2211), (21111), (111111).

MATHEMATICA

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}]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Gus Wiseman, Apr 22 2018

STATUS

approved

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Last modified January 19 10:19 EST 2021. Contains 340269 sequences. (Running on oeis4.)