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

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =12a(5) =22a(6) =40a(7) =69a(8) =118a(9) =195a(10) =317a(11) =505a(12) =793a(13) =1224a(14) =1867a(15) =2811a(16) =4186a(17) =6168a(18) =9005a(19) =13026a(20) =18692a(21) =26613a(22) =37619a(23) =52815a(24) =73680a(25) =102162a(26) =140853a(27) =193144a(28) =263490a(29) =357699