A153902 Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 1 one in any 4 X 4 X 4 subtriangle.

1, 2, 1, 1, 2, 2, 4, 8, 9, 13, 28, 40, 68, 188, 247, 498, 1534, 2240, 5457, 19030, 34984, 92787, 351730, 736460, 2179274, 9660082, 22277066, 75466794, 381461162, 984019235, 3823360536