A164154 Number of binary strings of length n with equal numbers of 0000 and 1111 substrings

1, 2, 4, 8, 14, 26, 48, 88, 164, 302, 562, 1044, 1946, 3632, 6796, 12738, 23932, 45044, 84976, 160610, 304222, 577358, 1097974, 2092018, 3993784, 7638400, 14635854, 28092662, 54015016, 104027610, 200667008, 387672364, 750053450, 1453209256