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

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =32a(7) =64a(8) =129a(9) =265a(10) =558a(11) =1200a(12) =2610a(13) =5682a(14) =12288a(15) =26292a(16) =55587a(17) =116179a(18) =240366a(19) =493108a(20) =1004780a(21) =2036692a(22) =4112144a(23) =8278552a(24) =16631717a(25) =33364381a(26) =66863358a(27) =133903816a(28) =268037862a(29) =536371734