7,2

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.

M. Latapy, Tilings of Zonotopes

For any d, the only possible tile for Z(d,d) is Z(d,d) itself, therefore the first term of the series is 1. It is well known that there are always two d-tilings of Z(d+1,d), therefore the second term is 2. More examples are available on my web page.

Cf. A006245 (two-dimensional tilings), A060595-A060602. A diagonal of A060637.

Sequence in context: A123558 A155206 A076954 this_sequence A055687 A006262 A003043

Adjacent sequences: A060595 A060596 A060597 this_sequence A060599 A060600 A060601

nonn,nice

Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 12 2001