A060619 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here d=9 and D varies.

0, 1, 22, 52224

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

Table of n, a(n) for n=9..12.

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

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: A221639 A078398 A280812 * A362902 A238635 A013770

Adjacent sequences: A060616 A060617 A060618 * A060620 A060621 A060622

Keyword

nonn

Author

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

Status

approved