A050323 Number of factorizations into distinct factors indexed by prime signatures: A045778(A025487).

1, 1, 1, 2, 2, 3, 2, 5, 5, 3, 5, 7, 9, 4, 9, 10, 16, 5, 14, 18, 14, 15, 17, 25, 6, 21, 34, 19, 31, 27, 38, 8, 31, 57, 25, 59, 42, 40, 56, 10, 67, 44, 70, 46, 91, 33, 100, 64, 80, 80, 12, 117, 61, 52, 141, 74, 140, 43, 161, 93, 143, 111, 15, 193, 83, 120, 253, 116, 167, 208