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

0,3

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

Table of n, a(n) for n=0..9.

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.

Sequence in context: A322726 A104603 A337341 * A289615 A359721 A138807

Adjacent sequences: A080622 A080623 A080624 * A080626 A080627 A080628

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Feb 26 2003

Status

approved