The Shift-Moebius transform of powers of 2.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =25a(6) =57a(7) =115a(8) =240a(9) =484a(10) =996a(11) =1987a(12) =4041a(13) =8071a(14) =16252a(15) =32527a(16) =65292a(17) =130558a(18) =261651a(19) =523271a(20) =1047533a(21) =2095138a(22) =4192255a(23) =8384449a(24) =16773161a(25) =33546227a(26) =67100496a(27) =134201373a(28) =268419000a(29) =536837755