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A060619 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here d=9 and D varies. 1
0, 1, 22, 52224 (list; graph; refs; listen; history; internal format)
OFFSET

9,3

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.

LINKS

M. Latapy, Tilings of Zonotopes

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: A127486 A191946 A078398 * A092212 A013770 A145323

Adjacent sequences:  A060616 A060617 A060618 * A060620 A060621 A060622

KEYWORD

nonn

AUTHOR

Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001

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Last modified February 15 17:46 EST 2012. Contains 205835 sequences.