A144239 Number of n X n binary arrays, symmetric about main diagonal, 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, 3, 9, 28, 108, 984, 7649, 73052, 1440611, 30613610, 770498233, 33712608974, 1836317274474, 122794791129401, 12495584324152671, 1697400189654813806