A055977 Product_{q|n} [p(q)] divides p(n), where p(n) is number of unrestricted partitions of n and the product is over all distinct primes q that divide n.

1, 2, 3, 5, 7, 8, 9, 10, 11, 13, 17, 19, 23, 29, 31, 37, 40, 41, 43, 47, 53, 59, 61, 64, 67, 71, 73, 75, 79, 83, 89, 97, 101, 103, 107, 109, 113, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 180, 181, 189, 191, 193, 197, 199, 211, 223, 225, 227