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A079761 Number of positions that are exactly n moves from the starting position in the 2 X 2 X 2 Rubik cube puzzle. 1
1, 9, 54, 321, 1847, 9992, 50136, 227536, 870072, 1887748, 623800, 2644 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

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 one move.

REFERENCES

D. R. Hofstadter, Metamagical Themas, Basic Books, NY, 1985, p. 359.

LINKS

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

Jaap Scherphuis, Puzzle Pages

CROSSREFS

Sequence in context: A001392 A188428 A079764 * A115784 A037599 A037704

Adjacent sequences:  A079758 A079759 A079760 * A079762 A079763 A079764

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 20 2003

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Last modified February 12 17:06 EST 2012. Contains 205432 sequences.