Number of separable multisets of size n covering an initial interval of positive integers.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =13a(6) =24a(7) =56a(8) =108a(9) =236a(10) =464a(11) =976a(12) =1936a(13) =3984a(14) =7936a(15) =16128a(16) =32192a(17) =64960a(18) =129792a(19) =260864a(20) =521472a(21) =1045760a(22) =2091008a(23) =4188160a(24) =8375296a(25) =16763904a(26) =33525760a(27) =67080192a(28) =134156288a(29) =268374016