A145581 Number of isomorphism classes of toric log del Pezzo surfaces with index L = n.

16, 30, 99, 91, 250, 379, 429, 307, 690, 916, 939, 1279, 1142, 1545, 4312, 1030, 1892, 3491, 2300, 4427, 6792, 3066, 3345, 4914, 4838, 4122, 5302, 7878, 4913, 24348, 5275, 3777

Offset: 1

Author

Jonathan Vos Post, Oct 14 2008

Keywords

• nonn

Comments

A145582(n) is the number of rank one toric log del Pezzo surfaces with index L = n. Both are in the table for Theorem 1.2, p. 4 of Kasprzyk, Kreuzer and Nill.

Links

• Dimitrios I. Dais, On the Twelve-Point Theorem for l-Reflexive Polygons, arXiv:1806.08351 [math.CO], 2018.
• Alexander M. Kasprzyk, Maximilian Kreuzer and Benjamin Nill, On the combinatorial classification of toric log del Pezzo surfaces, arXiv:0810.2207 [math.AG], 2008.
• Justus Springer, RationalPolygons.jl (Version 1.1.0), implementation of algorithm by Kasprzyk, Kreuzer, and Nill, 2024.

Crossrefs

Cf. A145582.

Extensions

a(17) from Danny Rorabaugh, Jun 22 2018

a(18)-a(32) from Justus Springer, Dec 31 2024