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

Terms

a(0) =1a(1) =0a(2) =1a(3) =3a(4) =12a(5) =47a(6) =195a(7) =864a(8) =4119a(9) =21113a(10) =115920a(11) =678481a(12) =4213453a(13) =27644204a(14) =190898945a(15) =1382957935a(16) =10480141160a(17) =82864868207a(18) =682076803575