Search: id:A019503
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%I A019503
%S A019503 1,2,5,16,67,308,1493
%N A019503 Minimal cardinality of triangulation of n-cube using n-simplices whose 
               vertices are vertices of the n-cube.
%D A019503 H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, 
               C9.
%D A019503 R. B. Hughes and M. R. Anderson, Simplexity of the cube, Discrete Mathematics, 
               158 (1996) 99-150, esp. p. 100.
%D A019503 C. Zong, What is known about unit cubes, Bull. Amer. Math. Soc., 42 (2005), 
               181-211.
%D A019503 Mark Haiman, "A simple and relatively efficient triangulation of the 
               n-cube", Discrete Comput. Geometry 6 (1991), 287-289.
%D A019503 Warren D. Smith, "Lower bounds for triangulations of the N-cube," 1994.
%D A019503 Gunter M. Ziegler, Lectures on Polytopes, Revised First Edn., Graduate 
               Texts in Mathematics, Springer, 1994, p. 147.
%F A019503 5522 <= a(8) <= 11944 [Haiman, Ziegler]. For large n, a method due to 
               Smith, using volume estimates in hyperbolic geometry, yields the 
               best lower bounds on a(n) so far. - Jonathan Vos Post (jvospost3(AT)gmail.com), 
               Jul 13 2005
%Y A019503 Cf. A019502, A019504.
%Y A019503 Sequence in context: A124551 A005157 A019502 this_sequence A019504 A005163 
               A006116
%Y A019503 Adjacent sequences: A019500 A019501 A019502 this_sequence A019504 A019505 
               A019506
%K A019503 nonn,hard,nice
%O A019503 1,2
%A A019503 N. J. A. Sloane (njas(AT)research.att.com).

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