Row sums of a Pascal-Thue-Morse triangle.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =15a(5) =26a(6) =43a(7) =72a(8) =129a(9) =250a(10) =506a(11) =1024a(12) =2016a(13) =3824a(14) =7011a(15) =12592a(16) =22661a(17) =42042a(18) =82384a(19) =171704a(20) =375386a(21) =840092a(22) =1881584a(23) =4153824a(24) =8964736a(25) =18852992a(26) =38629504a(27) =77259008a(28) =151303440a(29) =291370976