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Search: id:A090573
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| A090573 |
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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 one of the enclosing cube corners. |
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+0
8
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| 1, 3, 9, 30, 102, 324, 1029, 3096, 9960, 30732, 97932, 295924, 929202
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The 3 X 3 X 3 sliding cube puzzle is a generalization of the 2 X 2 X 2 3-D puzzle A090572. There are various designs of this 3 X 3 X 3 puzzle, but in most of them the central cube is not freely accessible and the empty space can not be moved to the central location of the cube. The design treated in this sequence assumes full accessibility of the central location.
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REFERENCES
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Ji-Ha You, Three dimensional puzzle with blocks - has cube frame with hollow interior and movable blocks filled on one side with magnet. German Patent application DE-4106826 A1, March 4, 1991 - see link
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LINKS
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Ji-Ha You, Dreidimensionales Spielgeraet. Offenlegungsschrift DE-4106826 A1.
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CROSSREFS
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Cf. A090572 2X2X2 puzzle, A090574, A090575, A090576 3 X 3 X 3 puzzle with different initial configurations.
Adjacent sequences: A090570 A090571 A090572 this_sequence A090574 A090575 A090576
Sequence in context: A050181 A089931 A096222 this_sequence A048119 A056333 A047007
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KEYWORD
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fini,hard,more,nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 15 2004
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