A050382 Number of ordered factorizations of n into primes by prime signature: A008480(A025487).

1, 1, 1, 2, 1, 3, 1, 4, 6, 1, 6, 5, 12, 1, 10, 6, 20, 1, 15, 30, 7, 24, 20, 30, 1, 21, 60, 8, 60, 35, 42, 1, 28, 105, 9, 120, 56, 90, 56, 1, 140, 36, 180, 70, 168, 10, 210, 84, 210, 72, 1, 280, 45, 120, 420, 126, 252, 11, 336, 120, 420, 90, 1, 504, 55, 360, 840, 210, 560, 360