Number of partitions of 2n such that (sum of parts having multiplicity 1) = sum of all other parts.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =3a(5) =2a(6) =8a(7) =5a(8) =18a(9) =19a(10) =39a(11) =34a(12) =105a(13) =74a(14) =183a(15) =202a(16) =381a(17) =344a(18) =818a(19) =684a(20) =1459a(21) =1499a(22) =2662a(23) =2578a(24) =5279a(25) =4756a(26) =8835a(27) =9287a(28) =15655a(29) =15538