Numbers whose base-4 representation Sum_{i=0..m} d(i)*4^i has d(m) > d(m-1) < d(m-2) > ...

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =8a(6) =9a(7) =12a(8) =13a(9) =14a(10) =17a(11) =18a(12) =19a(13) =33a(14) =34a(15) =35a(16) =38a(17) =39a(18) =49a(19) =50a(20) =51a(21) =54a(22) =55a(23) =59a(24) =68a(25) =72a(26) =73a(27) =76a(28) =77a(29) =78