a(n) = Fibonacci(n) + 3.

Terms

a(0) =3a(1) =4a(2) =4a(3) =5a(4) =6a(5) =8a(6) =11a(7) =16a(8) =24a(9) =37a(10) =58a(11) =92a(12) =147a(13) =236a(14) =380a(15) =613a(16) =990a(17) =1600a(18) =2587a(19) =4184a(20) =6768a(21) =10949a(22) =17714a(23) =28660a(24) =46371a(25) =75028a(26) =121396a(27) =196421a(28) =317814a(29) =514232