3,2

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

Z(3,3) is simply a cube and the only possible tile is Z(3,3) 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), A060596-A060602. A diagonal of A060637.

Sequence in context: A137884 A057565 A152804 this_sequence A086619 A165940 A007080

Adjacent sequences: A060592 A060593 A060594 this_sequence A060596 A060597 A060598

nonn,nice

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