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%I #34 Jul 29 2022 09:57:14
%S 1,5,18,124,866,7622,72256,749892,8229721
%N Number of isomorphism classes of smooth toric Fano n-folds (or, equivalently, regular Fano n-topes).
%H Victor V. Batyrev, <a href="http://mi.mathnet.ru/eng/izv1581">Toric Fano threefolds</a>, Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), no. 4, 704-717, 927.
%H Yang-Hui He, Rak-Kyeong Seong, and Shing-Tung Yau, <a href="https://arxiv.org/abs/1704.03462">Calabi-Yau Volumes and Reflexive Polytopes</a>, arXiv:1704.03462 [hep-th], 2017.
%H Maximillian Kreuzer and Benjamin Nill, <a href="http://arxiv.org/abs/math/0702890">Classification of toric fano 5-folds</a>, arXiv:math/0702890 [math.AG], 2007.
%H Benjamin Lorenz and Benjamin Nill, <a href="https://polymake.org/polytopes/blorenz/smoothgorenstein/">Smooth Gorenstein polytopes</a>
%H Mikkel Oebro, <a href="http://arxiv.org/abs/0704.0049">An algorithm for the classification of smooth Fano polytopes</a>, arXiv:0704.0049 [math.CO], 2007.
%H Mikkel Oebro, <a href="https://web.archive.org/web/20070609194935/http://home.imf.au.dk/oebro/">Text-format and PALP-friendly files containing the classifications up to n=7</a>
%H Andreas Paffenholz, <a href="https://polymake.org/polytopes/paffenholz/www/fano.html">Smooth Reflexive Lattice Polytopes</a>
%Y See A090045 for all the reflexive polytopes. Cf. A127709.
%K hard,more,nonn
%O 1,2
%A Alexander M Kasprzyk (kasprzyk(AT)unb.ca), Jun 23 2008
%E a(9) from _F. Chapoton_, Mar 13 2014
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