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A090577
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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 one of the enclosing cube corners.
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2
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1, 3, 9, 24, 72, 174, 519, 1284, 3813, 9300, 27462, 66666, 195674, 470886, 1372946
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The sliding cube 3 X 3 X 3 puzzle under consideration has a fixed central block and 25 movable blocks that can be shifted in the space between the enclosing holder frame and the central block. A description is given in US patents 3845959 and 6513808.
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LINKS
| Chih Chung Fang, Cubic Puzzle. US Patent 6513808, filed May 09, 2001
Daniel Kosarek, Three-dimensional block puzzle. US Patent 3845959, filed Nov. 5, 1974
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EXAMPLE
| a(1)=3 because the empty space at one of the 6 corners in the assumed initial configuration can be replaced by any of the 3 adjacent cubes from the middle of the 3 edges meeting at the empty corner in the first move.
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CROSSREFS
| Cf. A090578, A091521 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: A118771 A091587 A018047 * A047114 A103301 A148920
Adjacent sequences: A090574 A090575 A090576 * A090578 A090579 A090580
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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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