A164149 Number of binary strings of length n with equal numbers of 0000 and 0011 substrings

1, 2, 4, 8, 14, 25, 46, 83, 151, 278, 510, 940, 1744, 3242, 6051, 11346, 21341, 40285, 76326, 145065, 276573, 528901, 1014219, 1949950, 3758249, 7259903, 14053760, 27258744, 52966596, 103091048, 200958322, 392285713, 766762495, 1500497739