A164256 Number of binary strings of length n with equal numbers of 00110 and 11001 substrings

1, 2, 4, 8, 16, 30, 56, 108, 208, 396, 758, 1460, 2808, 5398, 10408, 20104, 38848, 75156, 145632, 282504, 548518, 1066216, 2074792, 4041194, 7878448, 15373504, 30024898, 58686936, 114800104, 224735614, 440263172, 863075172, 1693045744, 3323223304