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A090578
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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 mid-edge of one of the 12 edges of the combination cube.
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3
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1, 4, 10, 30, 74, 222, 546, 1628, 3978, 11810, 28658, 84520, 203562, 596520
(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 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. A090577, 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: A048044 A047188 A002220 * A007713 A058488 A036674
Adjacent sequences: A090575 A090576 A090577 * A090579 A090580 A090581
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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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