A080632 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, 1886, 16902, 150442, 1326326, 11505339, 96755918, 750089528

Offset

0,3

Comments

Total number of inequivalent positions = 851625008. This count is "with centers".

Links

Table of n, a(n) for n=0..11.

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

Crossrefs

Cf. A080601, A080614, etc.

Sequence in context: A352075 A229810 A080631 * A245166 A144575 A327619

Adjacent sequences: A080629 A080630 A080631 * A080633 A080634 A080635

Keyword

nonn,fini

Author

N. J. A. Sloane, Feb 26 2003

Status

approved