A322530 - OEIS

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A322530

Number of integer partitions of n with no 1's whose product of parts is a squarefree number.

1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 3, 2, 2, 4, 3, 3, 3, 6, 5, 5, 5, 6, 8, 8, 9, 8, 11, 8, 12, 13, 16, 14, 13, 16, 21, 18, 21, 25, 22, 24, 27, 35, 33, 33, 32, 37, 42, 47, 48, 48, 52, 51, 59, 70, 68, 65, 69, 80, 87, 90, 103, 100, 96, 103, 123, 128, 135, 136, 132, 153

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

COMMENTS

Such a partition must be strict and its parts must also be squarefree.

LINKS

Table of n, a(n) for n=0..69.

EXAMPLE

The a(26) = 11 integer partitions:

(26),

(15,11), (19,7), (21,5), (23,3),

(13,7,6), (13,10,3), (13,11,2), (17,7,2), (19,5,2),