|
Search: id:A060637
|
|
|
| A060637 |
|
Triangle T(n,k) (0 <= k <= n) giving number of tilings of the unary zonotope Z(n,k) (the projection onto R^k of a unit cube in R^n) by projections of the k-dimensional faces of the hypercube (again projected onto R^k). |
|
+0
10
|
|
| 1, 2, 1, 4, 2, 1, 8, 6, 2, 1, 16, 24, 8, 2, 1, 32, 120, 62, 10, 2, 1, 64, 720, 908, 148, 12, 2, 1, 128, 5040, 24698, 7686, 338, 14, 2, 1, 256, 40320, 1232944
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
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
|
|
EXAMPLE
|
1; 2,1; 4,2,1; 8,6,2,1; ...
|
|
CROSSREFS
|
Diagonals give A000079, A000142, A006245, A060595-A060602. Cf. A060638.
Sequence in context: A109433 A123490 A157028 this_sequence A123486 A158264 A158982
Adjacent sequences: A060634 A060635 A060636 this_sequence A060638 A060639 A060640
|
|
KEYWORD
|
nonn,tabl,hard,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Apr 16 2001
|
|
|
Search completed in 0.002 seconds
|
