Euler transform of j-> ceiling(2^(j-2)).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =19a(6) =43a(7) =93a(8) =207a(9) =453a(10) =999a(11) =2185a(12) =4796a(13) =10470a(14) =22871a(15) =49815a(16) =108427a(17) =235515a(18) =511074a(19) =1107248a(20) =2396299a(21) =5179169a(22) =11181877a(23) =24113939a(24) =51949572a(25) =111801422a(26) =240381703a(27) =516355235a(28) =1108186951a(29) =2376314763