A080631 Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; sequence gives number of positions that are exactly n moves from the start up to equivalence under the full group of order 48 of the cube.

1, 1, 5, 25, 215, 1860, 16481, 144334, 1242992, 10324847, 76993295, 371975385, 382690120, 8235392, 54, 1

Offset: 0

Author

N. J. A. Sloane, Feb 26 2003

Keywords

• nonn
• fini
• full

Comments

Total number of inequivalent positions = 851625008. This count is "without centers".

Links

• Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Crossrefs

Cf. A080601, A080614, etc.