Unique increasing sequence satisfying a(n) = a(n-5) + c(n-5); where c( ) is complement of a( ).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =7a(6) =10a(7) =12a(8) =15a(9) =18a(10) =21a(11) =26a(12) =29a(13) =34a(14) =38a(15) =43a(16) =49a(17) =53a(18) =59a(19) =65a(20) =71a(21) =79a(22) =84a(23) =91a(24) =98a(25) =106a(26) =115a(27) =121a(28) =130a(29) =138