A153958 Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 7 ones in any 5 X 5 X 5 subtriangle.

1, 2, 2, 4, 6, 8, 14, 52, 78, 248, 909, 2324, 7268, 47501, 121021, 658137, 4239215, 19354790, 106079779, 1177208160, 5469153552, 52045617401, 594802267838, 4804258306801, 46214470259731, 931757866564437, 7539129948721736