A146462 Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1100-0111-0100 pattern in any orientation.

1, 1, 1, 1, 1, 1, 17, 31, 679, 1365, 17627, 46035, 1583863, 5152353, 644498775, 2733408045, 569392682481, 3041130002347, 940096451199787, 6289498795341393, 4314014762481308841, 36346991541862011089, 57204732976870800644143