Number of distinct cyclic permutations of the partitions of n; see comments.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =27a(6) =48a(7) =75a(8) =118a(9) =178a(10) =265a(11) =377a(12) =544a(13) =760a(14) =1048a(15) =1437a(16) =1949a(17) =2611a(18) =3480a(19) =4594a(20) =6024a(21) =7867a(22) =10184a(23) =13122a(24) =16823a(25) =21484a(26) =27258a(27) =34495a(28) =43425a(29) =54499