Number of even-length integer partitions of n with at most one odd part in the conjugate partition.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =3a(7) =4a(8) =5a(9) =7a(10) =7a(11) =12a(12) =11a(13) =19a(14) =15a(15) =30a(16) =22a(17) =45a(18) =30a(19) =67a(20) =42a(21) =97a(22) =56a(23) =139a(24) =77a(25) =195a(26) =101a(27) =272a(28) =135a(29) =373