A164471 Number of binary strings of length n with no substrings equal to 0001 0101 or 1000

13, 21, 35, 59, 99, 167, 283, 479, 811, 1375, 2331, 3951, 6699, 11359, 19259, 32655, 55371, 93887, 159195, 269935, 457707, 776095, 1315963, 2231375, 3783563, 6415487, 10878235, 18445359, 31276331, 53032799, 89923515, 152476175, 258541771