A153913 Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 3 X 3 X 3 subtriangle.

1, 2, 26, 129, 122, 239, 1864, 1591, 5085, 36162, 47771, 138927, 1581118, 1910444, 8834202, 91938135, 174908406, 743306687, 12298725970, 21309347213, 143524473375, 2166989721589, 5956644162405, 36651705702510