Number of integer partitions of n such that every pair of distinct parts has a different product.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =15a(8) =22a(9) =30a(10) =42a(11) =56a(12) =76a(13) =100a(14) =133a(15) =171a(16) =225a(17) =287a(18) =369a(19) =467a(20) =592a(21) =740a(22) =931a(23) =1155a(24) =1435a(25) =1767a(26) =2178a(27) =2661a(28) =3254a(29) =3953