

A187015


The number of different classes of the 2dimensional convex lattice polytopes P where the convex hull of P has volume n/2.


0




OFFSET

1,2


COMMENTS

This is given, using Pick's theorem, in the table, p.7 of Liu, variable v(d=2,n).
Lattice polytopes up to the equivalence relation used here are also called toric diagrams, see references below.  Andrey Zabolotskiy, May 10 2019


LINKS

Table of n, a(n) for n=1..8.
Sebastián Franco, YangHui He, Chuang Sun and Yan Xiao, A comprehensive survey of brane tilings, Int. J. Mod. Phys. A, 32 (2017), 1750142, arXiv:1702.03958 [hepth].
Heling Liu, Chuanming Zong, On the classification of convex lattice polytopes, Adv. Geom., 11 (2011), 711729, arXiv:1103.0103 [math.MG].
Yan Xiao, Quivers, Tilings and Branes, City, University of London, 2018. See Tables 3.23.7.


CROSSREFS

Cf. A126587, A003051 (triangular toric diagrams only).
Sequence in context: A277902 A098285 A019585 * A245467 A070964 A111075
Adjacent sequences: A187012 A187013 A187014 * A187016 A187017 A187018


KEYWORD

nonn,more


AUTHOR

Jonathan Vos Post, Mar 01 2011


EXTENSIONS

a(8) from Yan Xiao added by Andrey Zabolotskiy, May 10 2019


STATUS

approved



