Number of 1-separable partitions of n; see Comments.

Terms

a(0) =0a(1) =0a(2) =1a(3) =2a(4) =3a(5) =4a(6) =6a(7) =8a(8) =11a(9) =14a(10) =19a(11) =24a(12) =31a(13) =39a(14) =50a(15) =62a(16) =78a(17) =96a(18) =120a(19) =147a(20) =181a(21) =220a(22) =270a(23) =327a(24) =397a(25) =478a(26) =578a(27) =693a(28) =833a(29) =994