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A090576
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Number of configurations of the 3-dimensional 3 X 3 X 3 sliding cube puzzle that require a minimum of n moves to be reached, starting with the empty space at mid-side of one of the 12 edges of the combination cube.
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6
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1, 4, 12, 40, 128, 412, 1251, 4026, 12362, 39624, 120012, 379132, 1130914
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| See under A090573.
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EXAMPLE
| a(1)=4 because the empty space located at mid-edge of one of the 12 edges of the assumed initial configuration can be replaced in the first move by any of the adjacent 2 cubes from the same edge or by the adjacent mid-face cubes of the 2 faces forming this edge.
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CROSSREFS
| Cf. A090572 2 X 2 X 2 puzzle, A090573, A090574, A090575 3 X 3 X 3 puzzle with different initial configurations.
Sequence in context: A058353 A104525 A126986 * A152174 A087206 A081875
Adjacent sequences: A090573 A090574 A090575 * A090577 A090578 A090579
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KEYWORD
| fini,hard,more,nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 15 2004
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