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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =14a(8) =21a(9) =28a(10) =39a(11) =51a(12) =69a(13) =88a(14) =116a(15) =148a(16) =193a(17) =242a(18) =309a(19) =385a(20) =484a(21) =596a(22) =746a(23) =915a(24) =1128a(25) =1371a(26) =1679a(27) =2030a(28) =2460a(29) =2964