8,2

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: A053848 A134476 A055746 this_sequence A143247 A100980 A122509

Adjacent sequences: A060597 A060598 A060599 this_sequence A060601 A060602 A060603

nonn,nice

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