Number of sets of nonempty sets of nonempty multisets of positive integers with total sum n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =7a(4) =15a(5) =39a(6) =94a(7) =224a(8) =526a(9) =1236a(10) =2857a(11) =6568a(12) =15003a(13) =34030a(14) =76757a(15) =172216a(16) =384386a(17) =853960a(18) =1888891a(19) =4160524a(20) =9128355a(21) =19953661a(22) =43463021a(23) =94354292a(24) =204182435a(25) =440505489a(26) =947590424a(27) =2032730905a(28) =4348897216a(29) =9280361316