a(n) = Sum_{k>=1} floor(n*phi^(1-k)).

Terms

a(0) =1a(1) =3a(2) =5a(3) =7a(4) =10a(5) =12a(6) =15a(7) =17a(8) =20a(9) =22a(10) =24a(11) =27a(12) =30a(13) =33a(14) =35a(15) =37a(16) =40a(17) =43a(18) =45a(19) =47a(20) =50a(21) =53a(22) =56a(23) =58a(24) =60a(25) =63a(26) =65a(27) =68a(28) =70a(29) =74