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

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =32a(7) =65a(8) =136a(9) =293a(10) =642a(11) =1410a(12) =3072a(13) =6606a(14) =14004a(15) =29295a(16) =60592a(17) =124187a(18) =252742a(19) =511672a(20) =1031912a(21) =2075452a(22) =4166408a(23) =8353165a(24) =16732664a(25) =33498977a(26) =67040458a(27) =134134046a(28) =268333872a(29) =536748474