Number of (2,0)-separable partitions of n; see Comments.

Terms

a(0) =0a(1) =1a(2) =0a(3) =1a(4) =2a(5) =2a(6) =3a(7) =5a(8) =5a(9) =7a(10) =10a(11) =11a(12) =14a(13) =19a(14) =21a(15) =27a(16) =34a(17) =39a(18) =48a(19) =60a(20) =69a(21) =84a(22) =102a(23) =119a(24) =142a(25) =172a(26) =199a(27) =237a(28) =282a(29) =328