Euler transform of Thue-Morse sequence A001285.

Terms

a(0) =1a(1) =3a(2) =5a(3) =9a(4) =15a(5) =25a(6) =38a(7) =61a(8) =91a(9) =137a(10) =200a(11) =293a(12) =416a(13) =595a(14) =832a(15) =1161a(16) =1601a(17) =2198a(18) =2983a(19) =4042a(20) =5419a(21) =7245a(22) =9615a(23) =12714a(24) =16703a(25) =21879a(26) =28492a(27) =36989a(28) =47795a(29) =61561