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A060637
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Triangle T(n,k) (0 <= k <= n) giving number of tilings of the unary zonotope Z(n,k) (the projection onto R^k of a unit cube in R^n) by projections of the k-dimensional faces of the hypercube (again projected onto R^k).
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9
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1, 2, 1, 4, 2, 1, 8, 6, 2, 1, 16, 24, 8, 2, 1, 32, 120, 62, 10, 2, 1, 64, 720, 908, 148, 12, 2, 1, 128, 5040, 24698, 7686, 338, 14, 2, 1, 256, 40320, 1232944
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White and G. M. Ziegler, Oriented Matroids, Encyclopedia of Mathematics 46, Second Edition, Cambridge University Press, 1999
N. Destainville, R. Mosseri and F. Bailly, Fixed-boundary octagonal random tilings: a combinatorial approach, Journal of Statistical Physics, 102 (2001), no. 1-2, 147-190.
Victor Reiner, The generalized Baues problem, in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-1997), 293-336, Math. Sci. Res. Inst. Publ., 38, Cambridge Univ. Press, Cambridge, 1999.
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LINKS
| M. Latapy, Tilings of Zonotopes
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EXAMPLE
| 1; 2,1; 4,2,1; 8,6,2,1; ...
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CROSSREFS
| Diagonals give A000079, A000142, A006245, A060595-A060602. Cf. A060638.
Sequence in context: A109433 A123490 A157028 * A123486 A158264 A158982
Adjacent sequences: A060634 A060635 A060636 * A060638 A060639 A060640
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KEYWORD
| nonn,tabl,hard,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 16 2001
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