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A091521
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Number of configurations of a variant 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 the center of one of the 6 faces of the combination cube.
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2
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1, 4, 12, 28, 84, 212, 632, 1544, 4584, 11220, 33060, 80152, 234648, 565192
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| See under A090577.
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EXAMPLE
| a(1)=4 because the empty space located at the center of a face of the combination cube in the assumed initial configuration can be replaced in the first move by one of the 4 adjacent cubes located at the edges of the face initially containing the empty space. The cube at the center of the combination cube can not replace the empty space because the construction of this puzzle inhibits the movement of the central cube.
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CROSSREFS
| Cf. A090577, A090578 this puzzle with different initial configurations, A090572 2X2X2 puzzle, A090573 - A090576 configurations of the 3 X 3 X 3 puzzle with 26 movable blocks.
Sequence in context: A173380 A002932 A121312 * A050898 A009845 A014342
Adjacent sequences: A091518 A091519 A091520 * A091522 A091523 A091524
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KEYWORD
| fini,hard,more,nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 19 2004
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