Euler transform of powers of 2 [1,2,4,8,16,...].

Terms

a(0) =1a(1) =1a(2) =3a(3) =7a(4) =18a(5) =42a(6) =104a(7) =244a(8) =585a(9) =1373a(10) =3233a(11) =7533a(12) =17547a(13) =40591a(14) =93711a(15) =215379a(16) =493735a(17) =1127979a(18) =2570519a(19) =5841443a(20) =13243599a(21) =29953851a(22) =67604035a(23) =152258271a(24) =342253980a(25) =767895424a(26) =1719854346a(27) =3845443858a(28) =8584291383a(29) =19133459139