A147429 Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1010-1111-0101 pattern in any orientation.

1, 1, 1, 1, 1, 1, 9, 11, 141, 257, 1611, 3315, 36853, 86889, 1683453, 4577119, 233675247, 765781809, 58076270521, 224796831393, 21043320110887, 95183435001619, 14150257177280215, 74929440978446429, 19854826390795440105