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Search: id:A060638
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| A060638 |
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Triangle T(n,k) (0 <= k <= n) giving number of edges in the "flip graph" whose nodes are the 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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17
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| 0, 1, 0, 4, 1, 0, 12, 6, 1, 0, 32, 36, 8, 1, 0, 80, 240, 100, 10, 1, 0, 192, 1800, 2144, 264, 12, 1, 0, 448, 15120, 80360, 22624, 672, 14, 1, 0, 1024, 141120
(list; table; graph; listen)
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OFFSET
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0,4
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REFERENCES
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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
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M. Latapy, Tilings of zonotopes
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EXAMPLE
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0; 1,0; 4,1,0; 12,6,1,0; ...
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CROSSREFS
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Diagonals give A001787, A001286, A060570, A060608, A060612, A060614, A060616-A060619, A060621-A060624. Cf. A060637.
Sequence in context: A127155 A145880 A048516 this_sequence A007789 A081114 A069018
Adjacent sequences: A060635 A060636 A060637 this_sequence A060639 A060640 A060641
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KEYWORD
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nonn,tabl,hard,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 16 2001
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