A164407 Number of binary strings of length n with no substrings equal to 0000 0001 or 0010

13, 23, 40, 71, 124, 218, 382, 671, 1177, 2066, 3625, 6362, 11164, 19592, 34381, 60335, 105880, 185807, 326068, 572210, 1004158, 1762175, 3092401, 5426786, 9523345, 16712306, 29328052, 51467144, 90318541, 158497991, 278144584, 488109719