Maximally refined partitions into distinct parts (of any natural number) with n parts.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =14a(5) =27a(6) =48a(7) =86a(8) =151a(9) =269a(10) =460a(11) =808a(12) =1386a(13) =2372a(14) =4048a(15) =6890a(16) =11661a(17) =19719a(18) =33167a(19) =55705a(20) =93288a(21) =155954a(22) =260040a(23) =432895a(24) =719252a(25) =1192989a(26) =1975724a(27) =3267513a(28) =5396171a(29) =8900534