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Search: id:A048663
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| A048663 |
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Number of rooted polycubes with n cells, with no symmetries removed. |
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+0
9
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| 1, 6, 45, 344, 2670, 20886, 164514, 1303304, 10375830, 82947380, 665440039
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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"Rooted" means some cell of the polycube is designated as the origin. This has the effect of multiplying the count by the volume of the polycube.
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REFERENCES
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Dan Hoey, Bill Gosper and Rich Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
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LINKS
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R. C. Schroeppel, A few mathematical experiments
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EXAMPLE
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There are six dicubes, each consisting of the origin cube together with one adjacent cube, in each of the six directions.
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CROSSREFS
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A row of the array in A048790.
Sequence in context: A003486 A024077 A097129 this_sequence A095003 A004988 A007193
Adjacent sequences: A048660 A048661 A048662 this_sequence A048664 A048665 A048666
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KEYWORD
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nonn
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AUTHOR
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Richard Schroeppel (rcs(AT)cheltenham.CS.Arizona.EDU), Dan Hoey (Hoey(AT)aic.nrl.navy.mil)
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