Number of partitions of 2n of type EO (see Comments).

Terms

a(0) =0a(1) =1a(2) =2a(3) =5a(4) =10a(5) =20a(6) =37a(7) =66a(8) =113a(9) =190a(10) =310a(11) =497a(12) =782a(13) =1212a(14) =1851a(15) =2793a(16) =4163a(17) =6142a(18) =8972a(19) =12989a(20) =18646a(21) =26561a(22) =37556a(23) =52743a(24) =73593a(25) =102064a(26) =140736a(27) =193011a(28) =263333a(29) =357521