[seqfan] Number of ways of tiling a n X n X n cube with cubes

[Richard J. Mathar]

Is the sequence of the number of ways of tiling the n X n X n cube
non-overlapping with cubes in the OEIS? My conjecture is that this starts 
at offset n=1  with 1, 2, 10, 2098, 4006722,...; it would be nice
to have an independent confirmation.

Example: The a(3)=10 ways for the 3 X 3 X 3 cube
1 way to fill it with 27 unit cubes
1 way to fill it with a 3 X 3 X 3 cube
8 ways to place 2 X 2 X 2 cube plus 19 interstitial unit cubes.

This should be the diagonal of A228267.