a(n) = Bell(n) + Fibonacci(n).

Terms

a(0) =1a(1) =2a(2) =3a(3) =7a(4) =18a(5) =57a(6) =211a(7) =890a(8) =4161a(9) =21181a(10) =116030a(11) =678659a(12) =4213741a(13) =27644670a(14) =190899699a(15) =1382959155a(16) =10480143134a(17) =82864871401a(18) =682076808743