A001333 with terms repeated.

Terms

a(0) =1a(1) =1a(2) =3a(3) =3a(4) =7a(5) =7a(6) =17a(7) =17a(8) =41a(9) =41a(10) =99a(11) =99a(12) =239a(13) =239a(14) =577a(15) =577a(16) =1393a(17) =1393a(18) =3363a(19) =3363a(20) =8119a(21) =8119a(22) =19601a(23) =19601a(24) =47321a(25) =47321a(26) =114243a(27) =114243a(28) =275807a(29) =275807