Binomial transform of (1,0,1,0,1,0,2,0,2,0,2,0,...).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =33a(7) =71a(8) =157a(9) =349a(10) =768a(11) =1662a(12) =3534a(13) =7398a(14) =15291a(15) =31297a(16) =63595a(17) =128555a(18) =258930a(19) =520240a(20) =1043540a(21) =2090956a(22) =4186757a(23) =8379499a(24) =16766313a(25) =33541481a(26) =67093588a(27) =134199826a(28) =268414602a(29) =536846754