A050373 Number of factorizations into distinct composite numbers indexed by prime signatures.

1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 5, 3, 5, 6, 6, 4, 7, 8, 3, 9, 11, 8, 8, 11, 13, 5, 12, 19, 11, 16, 17, 12, 19, 5, 22, 18, 19, 17, 30, 14, 28, 26, 26, 28, 7, 38, 24, 11, 39, 29, 47, 19, 46, 40, 44, 42, 8, 68, 36, 28, 70, 49, 53, 79, 26, 47, 76, 77, 64, 80, 82, 65, 52, 10