a(n) = Fibonacci(n+1)^2 + 4*Fibonacci(n).

Terms

a(0) =1a(1) =5a(2) =8a(3) =17a(4) =37a(5) =84a(6) =201a(7) =493a(8) =1240a(9) =3161a(10) =8141a(11) =21092a(12) =54865a(13) =143061a(14) =373608a(15) =976609a(16) =2554357a(17) =6683444a(18) =17491097a(19) =45781949a(20) =119841976a(21) =313723305a(22) =821294493a(23) =2150106052a(24) =5628936097a(25) =14736560549a(26) =38580516296a(27) =101004617393a(28) =264432735685a(29) =692292618516