A060612 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here d=4 and D varies.

0, 1, 12, 672

Offset

5,3

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=5..8.

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: A281780 A295870 A177322 * A203307 A171105 A215686

Adjacent sequences: A060609 A060610 A060611 * A060613 A060614 A060615

Keyword

nonn

Author

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

Status

approved