The number of irreducible balanced subsets of [n].

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =3a(5) =3a(6) =6a(7) =6a(8) =11a(9) =13a(10) =20a(11) =26a(12) =41a(13) =55a(14) =74a(15) =116a(16) =141a(17) =241a(18) =258a(19) =472a(20) =473a(21) =873a(22) =828a(23) =1576a(24) =1447a(25) =2821a(26) =2472a(27) =5072a(28) =4183a(29) =9173