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A007815
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Number of triangulations of cyclic 3-polytope C(3,n+3).
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1
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1, 2, 6, 25, 138, 972, 8477, 89405, 1119280, 16384508, 276961252
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| J. Rambau and F. Santos, The Baues problem for cyclic polytopes I, In "Special issue on Combinatorics of convex polytopes" (K. Fukuda and G. M. Ziegler, eds.), European J. Combin. 21:1 (2000), 65-83.
TOPCOM: Triangulations of Point Configurations and Oriented Matroids (ZIB Report 02-17). Proceedings of the International Congress of Mathematical Software ICMS 2002.
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LINKS
| C. A. Athanasiadis, J. A. De Loera, V. Reiner and F. Santos, Fiber polytopes for the projections between cyclic polytopes, European Journal of Combinatorics, Volume: 21, Issue: 1, 2000, pp. 19 - 47.
M. Azaola and F. Santos, The number of triangulations of the cyclic polytope C(n,n-4), Discrete Comput. Geom., 27 (2002), 29-48.
J. Rambau, TOPCOM
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PROG
| (TOPCOM) cyclic 14 3 | points2ntriangs -v
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CROSSREFS
| Cf. A028441.
Sequence in context: A084784 A197772 A135881 * A195259 A178087 A109286
Adjacent sequences: A007812 A007813 A007814 * A007816 A007817 A007818
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KEYWORD
| hard,nonn
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AUTHOR
| reiner(AT)math.umn.edu (Victor Reiner), edelman(AT)math.umn.edu (Paul Edelman)
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EXTENSIONS
| a(8) and a(9) computed by J. Rambau.
a(7) corrected and a(10) computed by Jörg Rambau (joerg.rambau(AT)uni-bayreuth.de), Sep 19 2006, using the TOPCOM software.
Typo in a(8) fixed and a(11) computed using the TOPCOM software by Jörg Rambau (joerg.rambau(AT)uni-bayreuth.de), Aug 11 2011
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