A164182 Number of binary strings of length n with equal numbers of 00000 and 00101 substrings

1, 2, 4, 8, 16, 30, 57, 108, 206, 391, 743, 1414, 2695, 5137, 9802, 18722, 35796, 68500, 131209, 251572, 482821, 927524, 1783553, 3432962, 6614125, 12755369, 24622325, 47574852, 92009827, 178112610, 345107051, 669277307, 1299108117, 2523857127