A153908 Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 2 ones in any 2 X 2 X 2 subtriangle.

1, 2, 1, 2, 13, 14, 44, 452, 799, 4626, 86710, 273752, 2781435, 91537826, 508729354, 9157300668, 533484637064, 5243172893020, 166735484693868, 17161483714082216, 298035643554185774, 16752470174524734906, 3047662126271875592300