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A090573 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. 7
1, 3, 9, 30, 102, 324, 1029, 3096, 9960, 30732, 97932, 295924, 929202 (list; graph; refs; listen; history; text; internal format)



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 cannot be moved to the central location of the cube. The design treated in this sequence assumes full accessibility of the central location.


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


Table of n, a(n) for n=0..12.

Ji-Ha You, Dreidimensionales Spielgeraet. Offenlegungsschrift DE-4106826 A1.


Cf. A090572 2 X 2 X 2 puzzle, A090574, A090575, A090576 3 X 3 X 3 puzzle with different initial configurations.

Sequence in context: A148946 A096222 A148947 * A228339 A257641 A048119

Adjacent sequences:  A090570 A090571 A090572 * A090574 A090575 A090576




Hugo Pfoertner, Jan 15 2004



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