A153938 Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 5 ones in any 3 X 3 X 3 subtriangle.

1, 2, 2, 3, 15, 24, 95, 901, 2926, 22625, 415047, 2632895, 39794767, 1442122393, 17977314936, 535815289761, 38169625321927, 935805308861487, 54839755115620718, 7680772354691458379, 370282826884218784372