A322344 Number of equivalence classes of convex lattice polygons of genus n, restricting the count to those polygons that are interior to another polygon.

16, 22, 63, 78, 122, 192, 239, 316, 508, 509, 700, 1044, 1113, 1429, 2052, 1962, 2651, 3543, 3638, 4594, 5996, 6364, 7922, 9692, 10208, 12727, 15431, 15918, 20354, 23873, 24677, 31593, 36529, 37302, 46034, 54454, 56278, 67020, 79606, 82549, 98188, 113752

Offset: 1

Author

Hugo Pfoertner, Dec 04 2018

Keywords

• nonn

Comments

See Castryck article for an explanation how to check if a polygon is interior to another polygon by application of theorem 5 (Koelman 1991).

References

• See A322343.

Links

• Justus Springer, Table of n, a(n) for n = 1..60
• Wouter Castryck, Moving Out the Edges of a Lattice Polygon, Discrete Comput. Geom., 47 (2012), p. 496-518, Column N(1) in Table 1, p 512.
• Justus Springer, RationalPolygons.jl (Version 1.0.0) [Computer software], 2024.

Crossrefs

Cf. A322343.

Extensions

a(24) and a(30) corrected, a(31) onwards added by Justus Springer, Oct 26 2024