A153910 Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 2 X 2 X 2 subtriangle.

1, 2, 1, 2, 5, 6, 10, 46, 45, 144, 630, 1282, 3589, 31208, 54740, 306488, 2365846, 8422342, 41318120, 642228152, 1995977194, 19736350274, 269164334206, 1690170177698, 14635326322042, 402751016861848, 2213195936856480