A164263 Number of binary strings of length n with equal numbers of 01010 and 10101 substrings

1, 2, 4, 8, 16, 30, 60, 116, 228, 444, 870, 1698, 3324, 6498, 12720, 24892, 48748, 95472, 187072, 366632, 718814, 1409666, 2765414, 5426584, 10651904, 20914746, 41077750, 80702042, 158594096, 311753402, 612994372, 1205648564, 2371934836, 4667676104