Unique increasing sequence satisfying a(n) = a(n-2) + c(n-2); where c( ) is complement of a( ).

Terms

a(0) =1a(1) =2a(2) =4a(3) =7a(4) =10a(5) =15a(6) =19a(7) =26a(8) =31a(9) =39a(10) =45a(11) =55a(12) =62a(13) =73a(14) =82a(15) =94a(16) =104a(17) =117a(18) =128a(19) =142a(20) =155a(21) =170a(22) =184a(23) =200a(24) =216a(25) =233a(26) =250a(27) =268a(28) =286a(29) =305