A153998 Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 12 ones in any 5 X 5 X 5 subtriangle.

1, 2, 4, 16, 64, 499, 3953, 61786, 971846, 30167054, 945677765, 58569920903, 3661573089790, 452214656078450, 56362299453225220, 13875014401044838663, 3447151263100307142903, 1691594815727250621502922