"DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,...

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =8a(5) =16a(6) =29a(7) =59a(8) =124a(9) =287a(10) =670a(11) =1634a(12) =3992a(13) =9867a(14) =24320a(15) =60290a(16) =149124a(17) =370146a(18) =918796a(19) =2286685a(20) =5697484a(21) =14227797a(22) =35583724a(23) =89168380a(24) =223794690a(25) =562624780a(26) =1416520302a(27) =3571567951a(28) =9017077418a(29) =22794093212