A080625 Consider 3 X 3 X 3 Rubik cube, but only allow the anti-slice group to act; 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, 3, 10, 37, 93, 166, 147, 89, 21

Offset: 0

Author

N. J. A. Sloane, Feb 26 2003

Keywords

• nonn
• fini
• full

Comments

Not every position can be reached using this restricted set of moves. Number of inequivalent positions that can be reached = 568. This is for 2q moves.

References

• Jerry Bryan, posting to Cube Lovers List, May 19 1995 and May 21 1995.

Links

• Alan Bawden, Cube Lovers Archive, Part 15
• Alan Bawden, Cube Lovers Archive, Part 16
• Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Crossrefs

Cf. A080601, A080614, etc.