Number of binary strings of length n with no substrings equal to 0010 0011 or 0110.

Terms

a(0) =13a(1) =21a(2) =32a(3) =50a(4) =76a(5) =117a(6) =177a(7) =270a(8) =408a(9) =620a(10) =937a(11) =1421a(12) =2148a(13) =3254a(14) =4920a(15) =7449a(16) =11265a(17) =17050a(18) =25788a(19) =39024a(20) =59029a(21) =89317a(22) =135112a(23) =204426a(24) =309252a(25) =467885a(26) =707825a(27) =1070886a(28) =1620080a(29) =2451028