The noncubes: a(n) = n + floor((n + floor(n^(1/3)))^(1/3)).

Terms

a(0) =2a(1) =3a(2) =4a(3) =5a(4) =6a(5) =7a(6) =9a(7) =10a(8) =11a(9) =12a(10) =13a(11) =14a(12) =15a(13) =16a(14) =17a(15) =18a(16) =19a(17) =20a(18) =21a(19) =22a(20) =23a(21) =24a(22) =25a(23) =26a(24) =28a(25) =29a(26) =30a(27) =31a(28) =32a(29) =33