Number of binary strings of length n with no substrings equal to 0010 0110 or 1100.

Terms

a(0) =13a(1) =21a(2) =33a(3) =53a(4) =84a(5) =135a(6) =217a(7) =352a(8) =570a(9) =925a(10) =1498a(11) =2427a(12) =3927a(13) =6355a(14) =10279a(15) =16630a(16) =26902a(17) =43527a(18) =70424a(19) =113952a(20) =184379a(21) =298341a(22) =482729a(23) =781082a(24) =1263815a(25) =2044899a(26) =3308703a(27) =5353590a(28) =8662271a(29) =14015848