"DGK" (bracelet, element, unlabeled) transform of 1,3,5,7,...

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =15a(5) =34a(6) =67a(7) =135a(8) =285a(9) =598a(10) =1314a(11) =2946a(12) =6702a(13) =15403a(14) =35569a(15) =82884a(16) =190820a(17) =444384a(18) =1026605a(19) =2364499a(20) =5454576a(21) =12522380a(22) =28698420a(23) =65469202a(24) =149407615a(25) =339508581a(26) =769387875a(27) =1739536216a(28) =3922183539a(29) =8828954730