6,2

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: A002543 A125791 A102103 this_sequence A091479 A016031 A001309

Adjacent sequences: A060594 A060595 A060596 this_sequence A060598 A060599 A060600

nonn,nice

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