Binomial transform of A000048.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =17a(5) =39a(6) =95a(7) =241a(8) =629a(9) =1676a(10) =4533a(11) =12392a(12) =34145a(13) =94670a(14) =263853a(15) =738744a(16) =2076817a(17) =5860033a(18) =16589996a(19) =47108718a(20) =134136047a(21) =382889797a(22) =1095452434a(23) =3140672834a(24) =9021699845a(25) =25961239919a(26) =74829970930a(27) =216016298741a(28) =624469525203