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) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =8a(6) =9a(7) =10a(8) =12a(9) =13a(10) =14a(11) =15a(12) =16a(13) =17a(14) =18a(15) =19a(16) =21a(17) =22a(18) =23a(19) =32a(20) =33a(21) =34a(22) =35a(23) =37a(24) =38a(25) =39a(26) =42a(27) =43a(28) =48a(29) =49