Powers of sqrt(5) rounded down.

Terms

a(0) =1a(1) =2a(2) =5a(3) =11a(4) =25a(5) =55a(6) =125a(7) =279a(8) =625a(9) =1397a(10) =3125a(11) =6987a(12) =15625a(13) =34938a(14) =78125a(15) =174692a(16) =390625a(17) =873464a(18) =1953125a(19) =4367320a(20) =9765625a(21) =21836601a(22) =48828125a(23) =109183006a(24) =244140625a(25) =545915033a(26) =1220703125a(27) =2729575167