A153920 Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 3 ones in any 3 X 3 X 3 subtriangle.

1, 2, 2, 3, 10, 14, 49, 308, 775, 3862, 41331, 169669, 1449423, 25795923, 176879439, 2569800487, 77632066170, 900486220900, 21773916434861, 1104958273021411, 21496112349545252, 875306630139701071, 74586189583189934357