Inverse Euler transform of Thue-Morse sequence A001285.

Terms

a(0) =2a(1) =-1a(2) =-1a(3) =2a(4) =-3a(5) =3a(6) =0a(7) =-4a(8) =6a(9) =-6a(10) =6a(11) =-1a(12) =-12a(13) =24a(14) =-29a(15) =23a(16) =9a(17) =-64a(18) =114a(19) =-132a(20) =81a(21) =78a(22) =-333a(23) =577a(24) =-627a(25) =279a(26) =610a(27) =-1896a(28) =2979a(29) =-2911