Powers of sqrt(2) rounded down.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =8a(7) =11a(8) =16a(9) =22a(10) =32a(11) =45a(12) =64a(13) =90a(14) =128a(15) =181a(16) =256a(17) =362a(18) =512a(19) =724a(20) =1024a(21) =1448a(22) =2048a(23) =2896a(24) =4096a(25) =5792a(26) =8192a(27) =11585a(28) =16384a(29) =23170