"AFK" (ordered, size, unlabeled) transform of 2,1,1,1,...

Terms

a(0) =1a(1) =2a(2) =1a(3) =5a(4) =5a(5) =7a(6) =19a(7) =21a(8) =33a(9) =41a(10) =101a(11) =109a(12) =175a(13) =231a(14) =321a(15) =623a(16) =761a(17) =1087a(18) =1495a(19) =2109a(20) =2661a(21) =4985a(22) =5849a(23) =8557a(24) =11251a(25) =15831a(26) =20373a(27) =27743a(28) =44357a(29) =55135