A146220 Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 101-111-010 pattern in any orientation.

1, 1, 1, 1, 1, 1, 2, 5, 10, 17, 34, 85, 281, 955, 3256, 11436, 47842, 229549, 1285142, 7367162, 46939349, 319959201, 2574706386, 22549841306, 223885431121, 2344970886285, 27997518161136, 360114867911637, 5365975270644628