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A060616
Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here d=6 and D varies.
1
0, 1, 16, 4032
OFFSET
6,3
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.
EXAMPLE
For any Z(d,d), there is a unique tiling therefore the first term of the series is 0. Likewise, there are always two tilings of Z(d+1,d) with a flip between them, therefore the second term of the series is 1.
CROSSREFS
Cf. A001286 (case where d=1). Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.
Sequence in context: A087519 A367535 A222917 * A297387 A016936 A321242
KEYWORD
nonn
AUTHOR
Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001
STATUS
approved