Unique increasing sequence satisfying a(n) = a(n-3) + c(n-3); where c( ) is complement of a( ).

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =10a(6) =14a(7) =19a(8) =22a(9) =27a(10) =34a(11) =38a(12) =44a(13) =52a(14) =58a(15) =65a(16) =75a(17) =82a(18) =90a(19) =101a(20) =110a(21) =119a(22) =131a(23) =141a(24) =151a(25) =164a(26) =176a(27) =187a(28) =201a(29) =215