%I A060621
%S A060621 12,36,100,264,672,1664,4032,9600,22528,52224
%N A060621 Number of flips between the d-dimensional tilings of the unary zonotope 
               Z(D,d). Here the codimension D-d is equal to 3 and d varies.
%D A060621 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 A060621 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 A060621 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 A060621 M. Latapy, <a href="http://www.liafa.jussieu.fr/~latapy/Zono/index.html">
               Tilings of Zonotopes</a>
%F A060621 Numbers so far satisfy a(n) = 2^n*(n^2+11n+24)/2. - R. Stephan, Apr 08 
               2004
%e A060621 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 A060621 Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.
%Y A060621 Sequence in context: A152135 A080562 A033196 this_sequence A058880 A055551 
               A073403
%Y A060621 Adjacent sequences: A060618 A060619 A060620 this_sequence A060622 A060623 
               A060624
%K A060621 nonn
%O A060621 0,1
%A A060621 Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001