A079762 Number of positions that are exactly n moves from the starting position in the 2 X 2 X 2 Rubik cube puzzle.

1, 6, 27, 120, 534, 2256, 8969, 33058, 114149, 360508, 930588, 1350852, 782536, 90280, 276

Offset: 0

Author

N. J. A. Sloane, Feb 20 2003

Keywords

• nonn
• fini
• full

Comments

This is the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves.

A puzzle in the Rubik cube family. The total number of distinct positions is 3674160. A half-turn is considered to be two moves.

Links

• Mark Longridge, God's Algorithm Calculations for Rubik's Cube...
• Jaap Scherphuis, Puzzle Pages

Crossrefs

Cf. A079761, A152169.