A153909 Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 2 ones in any 2 X 2 X 2 subtriangle.

1, 2, 3, 10, 29, 170, 866, 8938, 80759, 1473212, 23518209, 758000366, 21390884981, 1218501715162, 60770817102548, 6118061305466866, 539278173702963911, 95952596838569547200, 14947904300936965181323, 4700556597989635565249354