A028441 Triangulations of 4-dimensional cyclic polytopes.

1, 2, 7, 40, 357, 4824, 96426, 2800212, 116447760

Offset

5,2

Links

Table of n, a(n) for n=5..13.

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.

Michael Joswig and Lars Kastner, New counts for the number of triangulations of cyclic polytopes, arXiv:1804.08029 [math.CO], 2018.

J. Rambau, TOPCOM

J. Rambau and V. Reiner, A survey of the higher Stasheff-Tamari orders, in Progress in Mathematics, Vol. 299, Birkhäuser 2012.

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.

Crossrefs

Cf. A007815, A066342, A066634.

Sequence in context: A137731 A363004 A008608 * A006455 A130715 A317723

Adjacent sequences: A028438 A028439 A028440 * A028442 A028443 A028444

Keyword

nonn,more

Author

Jesús A. De Loera (deloera(AT)geom.umn.edu)

Extensions

a(12) computed by J. Rambau.

a(13) computed by J. Rambau; added by Joel B. Lewis, Feb 05 2013

Status

approved