A153917 Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 2 ones in any 5 X 5 X 5 subtriangle.

1, 2, 1, 1, 2, 1, 4, 13, 18, 49, 140, 188, 406, 1769, 3341, 8622, 44447, 84993, 281707, 1724133, 3711938, 16716005, 125407513, 356014822, 1906068709, 17144172762, 59257809503, 359265884506, 3898069443043