A144237 Number of n X n binary arrays, symmetric under horizontal reflection, with every 1 adjacent to at least one other 1 both bishopwise and rookwise but with no three 1s in a row bishopwise or rookwise.

1, 2, 1, 5, 12, 94, 382, 8683, 15288, 1371209, 4724300, 743433847, 5878981024, 2003707805150, 14591668576691, 15256793835289447, 136761880167895688, 342467857870682559089, 5411121863693582877434