Number of finite sequences of distinct sets with total sum n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =6a(5) =11a(6) =28a(7) =45a(8) =86a(9) =172a(10) =344a(11) =608a(12) =1135a(13) =2206a(14) =4006a(15) =7689a(16) =13748a(17) =25502a(18) =47406a(19) =86838a(20) =157560a(21) =286642a(22) =522089a(23) =941356a(24) =1718622a(25) =3079218a(26) =5525805a(27) =9902996a(28) =17788396a(29) =31742616