Binomial transform of 1, 1, 1, 2, 2, 2, 2, 2, ...

Terms

a(0) =1a(1) =2a(2) =4a(3) =9a(4) =21a(5) =48a(6) =106a(7) =227a(8) =475a(9) =978a(10) =1992a(11) =4029a(12) =8113a(13) =16292a(14) =32662a(15) =65415a(16) =130935a(17) =261990a(18) =524116a(19) =1048385a(20) =2096941a(21) =4194072a(22) =8388354a(23) =16776939a(24) =33554131a(25) =67108538a(26) =134217376a(27) =268435077a(28) =536870505a(29) =1073741388