%I A060612
%S A060612 0,1,12,672
%N A060612 Number of flips between the d-dimensional tilings of the unary zonotope 
               Z(D,d). Here d=4 and D varies.
%D A060612 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.
%D A060612 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.
%D A060612 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.
%H A060612 M. Latapy, <a href="http://www.liafa.jussieu.fr/~latapy/Zono/index.html">
               Tilings of Zonotopes</a>
%e A060612 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.
%Y A060612 Cf. A001286 (case where d=1). Cf. A060595 (number of 3-tilings) for terminology. 
               A diagonal of A060638.
%Y A060612 Sequence in context: A013587 A126159 A071307 this_sequence A002196 A141421 
               A000909
%Y A060612 Adjacent sequences: A060609 A060610 A060611 this_sequence A060613 A060614 
               A060615
%K A060612 nonn
%O A060612 5,3
%A A060612 Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001