a(n) is the number of balanced-non-self-conjugate partitions of n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =2a(7) =0a(8) =2a(9) =2a(10) =4a(11) =4a(12) =8a(13) =8a(14) =12a(15) =14a(16) =20a(17) =24a(18) =34a(19) =38a(20) =52a(21) =62a(22) =80a(23) =94a(24) =122a(25) =144a(26) =182a(27) =216a(28) =268a(29) =318