When A058033 first reaches n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =7a(5) =12a(6) =20a(7) =35a(8) =57a(9) =102a(10) =182a(11) =323a(12) =585a(13) =1061a(14) =1943a(15) =3521a(16) =6606