Number of 3-separable partitions of n; see Comments.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =1a(6) =3a(7) =4a(8) =5a(9) =6a(10) =8a(11) =11a(12) =13a(13) =15a(14) =20a(15) =24a(16) =30a(17) =35a(18) =43a(19) =52a(20) =63a(21) =74a(22) =89a(23) =106a(24) =127a(25) =148a(26) =177a(27) =208a(28) =246a(29) =287