"DGK" (bracelet, element, unlabeled) transform of 1,2,3,4,...

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =8a(5) =16a(6) =28a(7) =49a(8) =89a(9) =162a(10) =301a(11) =566a(12) =1103a(13) =2126a(14) =4114a(15) =8278a(16) =16111a(17) =31883a(18) =62595a(19) =123856a(20) =243854a(21) =476615a(22) =933833a(23) =1820731a(24) =3567964a(25) =6904993a(26) =13397093a(27) =25924377a(28) =50076418a(29) =96470672