Binomial transform of A079619, assuming offset zero there.

Terms

a(0) =1a(1) =4a(2) =8a(3) =14a(4) =24a(5) =45a(6) =94a(7) =205a(8) =440a(9) =912a(10) =1840a(11) =3684a(12) =7472a(13) =15564a(14) =33352a(15) =72857a(16) =160016a(17) =348982a(18) =749676a(19) =1580576a(20) =3270288a(21) =6654863a(22) =13365130a(23) =26593138a(24) =52615296a(25) =103822280a(26) =204740464a(27) =403983026a(28) =797965368a(29) =1578053222