Binomial transform of Thue-Morse sequence A010060.

Terms

a(0) =0a(1) =1a(2) =3a(3) =6a(4) =11a(5) =20a(6) =36a(7) =64a(8) =115a(9) =216a(10) =430a(11) =892a(12) =1872a(13) =3888a(14) =7920a(15) =15840a(16) =31315a(17) =61744a(18) =122418a(19) =245348a(20) =497650a(21) =1019032a(22) =2096680a(23) =4312224a(24) =8826320a(25) =17925376a(26) =36070128a(27) =71915616a(28) =142239056a(29) =279671360