Binomial transform of A007318 (Pascal's triangle by rows).

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =17a(5) =37a(6) =79a(7) =165a(8) =344a(9) =728a(10) =1564a(11) =3371a(12) =7206a(13) =15215a(14) =31844a(15) =66558a(16) =139864a(17) =296253a(18) =631147a(19) =1345776a(20) =2858121a(21) =6029016a(22) =12631491a(23) =26344768a(24) =54888571a(25) =114623196a(26) =240410003a(27) =506509217a(28) =1070284645a(29) =2262539843