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

0,3

Comments

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

Links

Table of n, a(n) for n=0..15.

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

Crossrefs

Cf. A080601, A080614, etc.

Sequence in context: A193939 A352075 A229810 * A080632 A245166 A144575

Adjacent sequences: A080628 A080629 A080630 * A080632 A080633 A080634

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Feb 26 2003

Status

approved