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

Terms

a(0) =1a(1) =3a(2) =5a(3) =8a(4) =15a(5) =31a(6) =64a(7) =129a(8) =257a(9) =512a(10) =1023a(11) =2047a(12) =4096a(13) =8193a(14) =16385a(15) =32768a(16) =65535a(17) =131071a(18) =262144a(19) =524289a(20) =1048577a(21) =2097152a(22) =4194303a(23) =8388607a(24) =16777216a(25) =33554433a(26) =67108865a(27) =134217728a(28) =268435455a(29) =536870911