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

Terms

a(0) =1a(1) =2a(2) =2a(3) =3a(4) =4a(5) =7a(6) =17a(7) =39a(8) =102a(9) =258a(10) =651a(11) =1620a(12) =4028a(13) =9956a(14) =24588a(15) =60742a(16) =150108a(17) =371689a(18) =921822a(19) =2291257a(20) =5706077a(21) =14240518a(22) =35607189a(23) =89202758a(24) =223857382a(25) =562716179a(26) =1416686294a(27) =3571809027a(28) =9017514253a(29) =22794726763