Dirichlet convolution of A011782 (2^(n-1)) with A349451 (Dirichlet inverse of Fibonacci numbers).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =11a(5) =20a(6) =51a(7) =100a(8) =218a(9) =441a(10) =935a(11) =1862a(12) =3863a(13) =7751a(14) =15742a(15) =31648a(16) =63939a(17) =128180a(18) =257963a(19) =516974a(20) =1037502a(21) =2078417a(22) =4165647a(23) =8339900a(24) =16702136a(25) =33428943a(26) =66911942a(27) =133891584a(28) =267921227a(29) =536021340