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Search: id:A048790
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| A048790 |
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Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1). |
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+0
7
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| 1, 1, 2, 1, 4, 3, 1, 6, 18, 4, 1, 8, 45, 76, 5, 1, 10, 84, 344, 315, 6, 1, 12, 135, 936, 2670, 1296, 7, 1, 14, 198, 1980, 10810, 20886, 5320, 8, 1, 16, 273, 3604, 30475, 127632, 164514, 21800, 9, 1, 18, 360, 5936, 69405, 483702, 1531180, 1303304, 89190, 10, 1
(list; table; graph; listen)
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OFFSET
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1,3
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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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Array begins:
n\k 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13
1 | 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13
2 | 1..4..18....76....315....1296.....5320....21800....89190.364460.1487948.6070332.24750570
3 | 1..6..45...344...2670...20886...164514..1303304.10375830
4 | 1..8..84...936..10810..127632..1531180.18589840
5 | 1.10.135..1980..30475..483702..7847525
6 | 1.12.198..3604..69405.1386048.28403620
7 | 1.14.273..5936.137340.3307878
8 | 1.16.360..9104.246020
9 | 1.18.459.13236.409185
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CROSSREFS
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Rows give A048663-A048668, A094101. Columns give A094159-A094161. Cf. A094100.
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KEYWORD
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nonn,tabl,nice,new
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AUTHOR
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Dan Hoey (Hoey(AT)aic.nrl.navy.mil)
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Aug 14 2006
Edited by njas, Sep 15 2008 at the suggestion of R. J. Mathar
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