A270579 The number of sets of parallel planes into which the planes defined in A270578 fall.
13, 145, 1237, 4813, 19225, 42901, 119725, 233065, 475609
Offset: 2
Examples
The 20 planes defined by the points of the 2 X 2 X 2 grid fall into 13 families of parallel planes: 3 parallel to the faces, 4 perpendicular to the space diagonals and 6 which are the planes defined by an edge and its opposite edge. So a(2)=13.