Positive integers sorted by rote height (A109301) and omega (A001221).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =9a(5) =6a(6) =12a(7) =18a(8) =36a(9) =5a(10) =7a(11) =8a(12) =13a(13) =16a(14) =23a(15) =25a(16) =27a(17) =37a(18) =49a(19) =61a(20) =64a(21) =81a(22) =125a(23) =151a(24) =169a(25) =343a(26) =512a(27) =529a(28) =625a(29) =729