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 A296165 a(n) is the number of unimodular triangulations of [0,2]x[0,n]. 0

%I

%S 6,64,852,12170,182132,2801708,43936824

%N a(n) is the number of unimodular triangulations of [0,2]x[0,n].

%C As stated by Kaibel and Ziegler, the number of unimodular triangulations of [0,1]x[0,n] is (2n)!/(n!*n!). This gives a(1)=6.

%C No formula for a(n) is known. Aichholzer computed a(n) for n<=15.

%C Kaibel and Ziegler computed a(n) for n<=375. Aichholzer also computed the number of unimodular triangulations of [0,m]x[0,n] for m=3,4,5 and various n, and Kaibel-Ziegler extended these calculations to m=6.

%D V. Kaibel and G. Ziegler, "Counting lattice triangulations," London Math. Soc. Lecture Notes Series, Vol. 307, pp. 277-307, 2003.

%H O. Aichholzer, <a href="http://www.ist.tugraz.at/aichholzer/research/rp/triangulations/counting/">Counting Triangulations - Olympics</a>, 2006.

%H V. Kaibel and G. M. Ziegler, <a href="http://arXiv.org/abs/math.CO/0211268">Counting Lattice Triangulations</a>, arXiv:math/0211268 [math.CO], 2002.

%Y Second column of array A082640.

%K nonn,more

%O 1,1

%A _John Kieffer_, Dec 06 2017

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)