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) =6a(4) =7a(5) =11a(6) =24a(7) =25a(8) =28a(9) =29a(10) =30a(11) =44a(12) =45a(13) =46a(14) =97a(15) =98a(16) =99a(17) =102a(18) =103a(19) =113a(20) =114a(21) =115a(22) =118a(23) =119a(24) =123a(25) =177a(26) =178a(27) =179a(28) =182a(29) =183