Binary representation of a(n) equals first n+1 terms of A051023.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =27a(5) =55a(6) =110a(7) =220a(8) =441a(9) =883a(10) =1766a(11) =3532a(12) =7064a(13) =14129a(14) =28258a(15) =56517a(16) =113035a(17) =226070a(18) =452140a(19) =904281a(20) =1808562a(21) =3617124a(22) =7234249a(23) =14468499a(24) =28936999a(25) =57873998a(26) =115747997a(27) =231495994a(28) =462991989a(29) =925983979