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A048790
Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1).
10
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
OFFSET
1,3
REFERENCES
Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
EXAMPLE
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
CROSSREFS
Rows give A048663-A048668, A094101. Columns give A094159-A094161. Cf. A094100.
Sequence in context: A053123 A107661 A126570 * A027421 A131252 A345123
KEYWORD
nonn,tabl,nice
AUTHOR
EXTENSIONS
More terms from Joshua Zucker, Aug 14 2006
Edited by N. J. A. Sloane, Sep 15 2008 at the suggestion of R. J. Mathar
STATUS
approved