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A066634
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Number of triangulations of the cyclic polytope C(n, n-5).
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0
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5, 16, 42, 138, 357, 1233, 3278, 12589, 35789, 159613, 499900, 2677865, 9421400, 62226044
(list; graph; refs; listen; history; internal format)
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OFFSET
| 5,1
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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.
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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.
J. Rambau, TOPCOM: Triangulations of Point Configurations and Oriented Matroids, Mathematical Software - ICMS 2002 (Cohen, Arjeh M. and Gao, Xiao-Shan and Takayama, Nobuki, eds.), World Scientific (2002), pp. 330-340.
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PROG
| TOPCOM's command "cyclic 17 12 | points2ntriangs -v" yields, e.g., the number of triangulations of C(17, 12).
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CROSSREFS
| Cf. A066342, A028441.
Sequence in context: A055796 A002662 A143962 * A034358 A036888 A053221
Adjacent sequences: A066631 A066632 A066633 * A066635 A066636 A066637
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 09 2002
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EXTENSIONS
| New term for C(17,12) (computed by TOPCOM) added by Jörg Rambau (joerg.rambau(AT)uni-bayreuth.de), Jul 26 2011
New term for C(18,13) (computed by TOPCOM) added by Jörg Rambau (joerg.rambau(AT)uni-bayreuth.de), Aug 01 2011
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