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A060622 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here the codimension D-d is equal to 4 and d varies. 0
32, 240, 2144, 22624 (list; graph; refs; listen; history; text; internal format)



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.


Table of n, a(n) for n=0..3.

M. Latapy, Generalized Integer Partitions, Tilings of Zonotopes and Lattices


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.


Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.

Sequence in context: A223250 A250748 A333268 * A118999 A321829 A111450

Adjacent sequences:  A060619 A060620 A060621 * A060623 A060624 A060625




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



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Last modified January 18 17:18 EST 2022. Contains 350455 sequences. (Running on oeis4.)