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

1,1

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.

Sequence in context: A165338 A154877 A305337 * A316417 A100999 A304923

Adjacent sequences: A322341 A322342 A322343 * A322345 A322346 A322347

Keyword

nonn

Author

Hugo Pfoertner, Dec 04 2018

Extensions

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

Status

approved