login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 1
12, 36, 100, 264, 672, 1664, 4032, 9600, 22528, 52224 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

REFERENCES

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.

LINKS

M. Latapy, Tilings of Zonotopes

FORMULA

Numbers so far satisfy a(n) = 2^n*(n^2+11n+24)/2. - R. Stephan, Apr 08 2004

EXAMPLE

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.

CROSSREFS

Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.

Sequence in context: A033196 A172218 A172212 * A058880 A055551 A073403

Adjacent sequences:  A060618 A060619 A060620 * A060622 A060623 A060624

KEYWORD

nonn

AUTHOR

Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 12:15 EST 2012. Contains 205909 sequences.