A067554 Number of partitions of n in which the product of parts is a power of n.

1, 1, 2, 2, 3, 2, 3, 2, 4, 3, 3, 2, 5, 2, 3, 3, 11, 2, 9, 2, 9, 4, 3, 2, 35, 4, 3, 9, 11, 2, 25, 2, 44, 5, 3, 4, 107, 2, 3, 5, 67, 2, 44, 2, 13, 23, 3, 2, 466, 5, 28, 5, 17, 2, 170, 6, 104, 5, 3, 2, 1039, 2, 3, 30, 311, 6, 70