A153952 Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 6 ones in any 5 X 5 X 5 subtriangle.

1, 2, 2, 4, 5, 8, 11, 40, 59, 169, 555, 1319, 3615, 20488, 46826, 218870, 1193201, 4783860, 22240814, 199704231, 805091958, 6227071279, 56791304489, 381075628434, 2947943372020, 45668975412143, 300746133172408