Unique increasing sequence satisfying a(n) = a(n-4) + c(n-4); where c( ) is complement of a( ).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =6a(5) =9a(6) =11a(7) =14a(8) =18a(9) =22a(10) =26a(11) =30a(12) =35a(13) =41a(14) =46a(15) =51a(16) =58a(17) =65a(18) =71a(19) =78a(20) =86a(21) =94a(22) =102a(23) =110a(24) =119a(25) =128a(26) =138a(27) =147a(28) =157a(29) =167