"AFK" (ordered, size, unlabeled) transform of 1,3,5,7,...

Terms

a(0) =1a(1) =1a(2) =3a(3) =11a(4) =17a(5) =53a(6) =161a(7) =285a(8) =569a(9) =1459a(10) =4699a(11) =7177a(12) =15631a(13) =28229a(14) =66883a(15) =211311a(16) =319929a(17) =627705a(18) =1163049a(19) =2150209a(20) =4422225a(21) =14320583a(22) =20392019a(23) =39962165a(24) =68618087a(25) =126643545a(26) =212615483a(27) =433704811a(28) =1312156393a(29) =1864959757